Ansgar Dorneich, Martin J "ostingmeier, Enrico Arrigoni, Werner Hanke, Matthias Troyer, Superconductivity Ansgar Dorneich, ...
We present an algorithm for measuring arbitrary one-particle Greens functions within the op-erator loop update mechanism. Further this method is applied to the the pSO(5)model ofhigh-temperature...
Ansgar Dorneich, Martin Jöstingmeier, Enrico Arrigoni, Werner Hanke, Matthias Troyer, Dietrich Wolf, ...
published in
Topology driven quantum phase transitions in time-reversal invariant anyonic quantum liquids (2009)
Gils, Charlotte, Trebst, Simon, Kitaev, Alexei, Ludwig, Andreas W. W., Troyer, Matthias, Wang, Zhenghan
Indistinguishable particles in two dimensions can be characterized by anyonic quantum statistics more general than those of bosons or fermions. Such anyons emerge as quasiparticles in fractional...
Estimating errors reliably in Monte Carlo simulations of the Ehrenfest model (2009)
Ambegaokar, Vinay, Troyer, Matthias
Using the Ehrenfest urn model we illustrate the subtleties of error estimation in Monte Carlo simulations. We discuss how the smooth results of correlated sampling in Markov chains can fool one's...
Assessing the accuracy of projected entangled-pair states on infinite lattices (2009)
Bauer, Bela, Vidal, Guifre, Troyer, Matthias
Generalizations of the density-matrix renormalization group method have long been sought after. In this paper, we assess the accuracy of projected entangled-pair states on infinite lattices by...
A short introduction to Fibonacci anyon models (2009)
Trebst, Simon, Troyer, Matthias, Wang, Zhenghan, Ludwig, Andreas W. W.
We discuss how to construct models of interacting anyons by generalizing quantum spin Hamiltonians to anyonic degrees of freedom. The simplest interactions energetically favor pairs of anyons to fuse...
Topological stability of anyonic quantum spin chains and formation of new topological liquids (2008)
Gils, Charlotte, Ardonne, Eddy, Trebst, Simon, Ludwig, Andreas W. W., Troyer, Matthias, Wang, Zhenghan
Quantum mechanical systems, whose degrees of freedom are so-called su(2)_k anyons, form a bridge between ordinary SU(2) spin systems and systems of interacting non-Abelian anyons. Such a connection...
Eric D. Williams, Matthias Troyer
Computer aided modeling and design of industrial systems presents great potential for facilitating the construction of industrial systems which maximize utilization of materials, minimize emissions...
Collective States of Interacting Fibonacci Anyons (2008)
Trebst, Simon, Ardonne, Eddy, Feiguin, Adrian, Huse, David A., Ludwig, Andreas W. W., Troyer, Matthias
We show that chains of interacting Fibonacci anyons can support a wide variety of collective ground states ranging from extended critical, gapless phases to gapped phases with ground-state degeneracy...
Albuquerque, A. Fabricio, Troyer, Matthias, Oitmaa, Jaan
We present numerical results for an $S=1/2$ Heisenberg antiferromagnet on a inhomogeneous square lattice with tunable interaction between spins belonging to different plaquettes. Employing Quantum...
Spin freezing transition and non-Fermi-liquid self-energy in a 3-orbital model (2008)
Werner, Philipp, Gull, Emanuel, Troyer, Matthias, Millis, Andrew J.
A single-site dynamical mean field study of a three band model with the rotationally invariant interactions appropriate to the t_2g levels of a transition metal oxide reveals a quantum phase...
Gull, Emanuel, Werner, Philipp, Wang, Xin, Troyer, Matthias, Millis, A. J.
The four-site DCA method of including intersite correlations in the dynamical mean field theory is used to investigate the metal-insulator transition in the Hubbard model. At half filling a...
Critical Temperature Curve in the BEC-BCS Crossover (2008)
Burovski, Evgeni, Kozik, Evgeny, Prokof'ev, Nikolay, Svistunov, Boris, Troyer, Matthias
The strongly-correlated regime of the BCS-BEC crossover can be realized by diluting a system of two-component fermions with a short-range attractive interaction. We investigate this system via a...
Kuklov, Anatoly, Matsumoto, Munehisa, Prokof'ev, Nikolay, Svistunov, Boris, Troyer, Matthias
We comment on the claim of continuous phase transition in the SU(2) symmetric Deconfined Critical Point action made by O.Motrunich and A.Vishwanath in ArXive:0805.1494
ENCORE: An Extended Contractor Renormalization algorithm (2008)
Albuquerque, A. Fabricio, Katzgraber, Helmut G., Troyer, Matthias
Contractor Renormalization (CORE) is a real-space renormalization group method to derive effective Hamiltionians from microscopic models. The original CORE method is based on a real-space...
Local interactions and non-Abelian quantum loop gases (2008)
Troyer, Matthias, Trebst, Simon, Shtengel, Kirill, Nayak, Chetan
Two-dimensional quantum loop gases are elementary examples of topological ground states with Abelian or non-Abelian anyonic excitations. While Abelian loop gases appear as ground states of local,...
Improved directed loop method for Quantum (2008)
Monte Carlo Simulations, Fabien Alet, Stefan Wessel, Matthias Troyer
Abstract. Efficient schemes called directed loops for cluster updates in Quantum Monte Carlo simulations have recently been proposed, which improve both the efficiency and precision for simulations...
Influence of the trap shape on the superfluid-Mott transition in ultracold atomic gases (2008)
Ma, Ping Nang, Yang, Kai Yu, Pollet, Lode, Porto, J. V., Troyer, Matthias, Zhang, Fu Chun
The coexistence of superfluid and Mott insulator, due to the quadratic confinement potential in current optical lattice experiments, makes the accurate detection of the superfluid-Mott transition...
Continuous-time auxiliary field Monte Carlo for quantum impurity models (2008)
Gull, Emanuel, Werner, Philipp, Parcollet, Olivier, Troyer, Matthias
We present a continuous-time Monte Carlo method for quantum impurity models, which combines a weak-coupling expansion with an auxiliary-field decomposition. The method is considerably more efficient...
Collective states of interacting Fibonacci anyons (2008)
Trebst, Simon, Ardonne, Eddy, Feiguin, Adrian, Huse, David A., Ludwig, Andreas W. W., Troyer, Matthias
We show that chains of interacting Fibonacci anyons can support a wide variety of collective ground states ranging from extended critical, gapless phases to gapped phases with ground-state degeneracy...
Temperature changes when adiabatically ramping up an optical lattice (2008)
Pollet, Lode, Kollath, Corinna, Van Houcke, Kris, Troyer, Matthias
When atoms are loaded into an optical lattice, the process of gradually turning on the lattice is almost adiabatic. In this paper we investigate how the temperature changes when going from the...
Quantum Monte-Carlo study of a two-species boson Hubbard model (2007)
Guertler, Siegfried, Troyer, Matthias, Zhang, Fu-Chun
We consider a two-species hard-core boson Hubbard model for a supersolid, where the two types of bosons represent vacancies and interstitials doped into a commensurate crystal. The on-site...
A classical picture of the role of vacancies and interstitials in Helium-4 (2007)
Ma, Ping Nang, Pollet, Lode, Troyer, Matthias, Zhang, Fu Chun
Motivated by experimental hints for supersolidity in Helium-4, we perform Monte Carlo simulations of vacancies and interstitials in a classical two-and three-dimensional Lennard-Jones solid. We...
Optimized Broad-Histogram Ensembles for the Simulation of Quantum Systems (2007)
Wessel, Stefan, Stoop, Norbert, Gull, Emanuel, Trebst, Simon, Troyer, Matthias
The efficiency of statistical sampling in broad-histogram Monte Carlo simulations can be considerably improved by optimizing the simulated extended ensemble for fastest equilibration. Here we...
Albuquerque, A. Fabricio, Katzgraber, Helmut G., Troyer, Matthias, Blatter, Gianni
We use a nonperturbative extended contractor renormalization (ENCORE) method for engineering quantum devices for the implementation of topologically protected quantum bits described by an effective...
Gils, Charlotte, Katzgraber, Helmut G., Troyer, Matthias
We study numerically a monodisperse model of interacting classical particles predicted to exhibit a static liquid-glass transition. Using a dynamical Monte Carlo method we show that the model does...
Interacting anyons in topological quantum liquids: The golden chain (2006)
Feiguin, Adrian, Trebst, Simon, Ludwig, Andreas W. W., Troyer, Matthias, Kitaev, Alexei, Wang, Zhenghan, ...
We discuss generalizations of quantum spin Hamiltonians using anyonic degrees of freedom. The simplest model for interacting anyons energetically favors neighboring anyons to fuse into the trivial...
Mixture of bosonic and spin-polarized fermionic atoms in an optical lattice (2006)
Pollet, Lode, Kollath, Corinna, Schollwoeck, Ulrich, Troyer, Matthias
We investigate the properties of trapped Bose-Fermi mixtures for experimentally relevant parameters in one dimension. The effect of the attractive Bose-Fermi interaction onto the bosons is to deepen...
Performance analysis of continuous-time solvers for quantum impurity models (2006)
Gull, Emanuel, Werner, Philipp, Millis, Andrew J., Troyer, Matthias
Impurity solvers play an essential role in the numerical investigation of strongly correlated electrons systems within the "dynamical mean field" approximation. Recently, a new class of...
Histogram methods for suantum systems: from Reweighting toWang-Landau Sampling (2006)
Matthias Troyer, Fabien Alet, Stefan Wessel
Histogram methods for suantum systems: from Reweighting toWang-Landau Sampling
Breakdown of a topological phase: Quantum phase transition in a loop gas model with tension (2006)
Trebst, Simon, Werner, Philipp, Troyer, Matthias, Shtengel, Kirill, Nayak, Chetan
We study the stability of topological order against local perturbations by considering the effect of a magnetic field on a spin model -- the toric code -- which is in a topological phase. The model...
Simulations of ultracold bosonic atoms in optical lattices with anharmonic traps (2006)
Gygi, Olivier, Katzgraber, Helmut G., Troyer, Matthias, Wessel, Stefan, Batrouni, G. George
We report results of quantum Monte Carlo simulations in the canonical and the grand-canonical ensemble of the two- and three-dimensional Bose-Hubbard model with quadratic and quartic confining...
Harada, Kenji, Kawashima, Naoki, Troyer, Matthias
The quasi-one-dimensional S=1 Heisenberg antiferromagnet with a biquadratic term is investigated at zero temperature by quantum Monte Carlo simulation. As the magnitude of the inter-chain coupling is...
The fate of vacancy-induced supersolidity in 4He (2006)
Boninsegni, Massimo, Kuklov, Anatoly, Pollet, Lode, Prokof'ev, Nikolay, Svistunov, Boris, Troyer, Matthias
The supersolid state of matter, exhibiting non-dissipative flow in solids, has been elusive for thirty five years. The recent discovery of a non-classical moment of inertia in solid 4He by Kim and...
The Fermi-Hubbard model at unitarity (2006)
Burovski, Evgeni, Prokof'ev, Nikolay, Svistunov, Boris, Troyer, Matthias
We simulate the dilute attractive Fermi-Hubbard model in the unitarity regime using a diagrammatic determinant Monte Carlo algorithm with worm-type updates. We obtain the dependence of the critical...
Simulations of ultracold bosonic atoms in optical lattices with anharmonic traps (2006)
Gygi, Olivier, Katzgraber, Helmut G., Troyer, Matthias, Wessel, Stefan, Batrouni, G. George
We report results of quantum Monte Carlo simulations in the canonical and the grand-canonical ensemble of the two- and three-dimensional Bose-Hubbard model with quadratic and quartic confining...
Kuklov, Anatoly, Prokof'ev, Nikolay, Svistunov, Boris, Troyer, Matthias
We perform a comparative Monte Carlo study of the easy-plane deconfined critical point (DCP) action and its short-range counterpart to reveal close similarities between the two models for...
Critical Temperature and Thermodynamics of Attractive Fermions at Unitarity (2006)
Burovski, Evgeni, Prokof'ev, Nikolay, Svistunov, Boris, Troyer, Matthias
The unitarity regime of the BCS-BEC crossover can be realized by diluting a system of two-component lattice fermions with an on-site attractive interaction. We perform a systematic-error-free...
Optimized parallel tempering simulations of proteins (2006)
Trebst, Simon, Troyer, Matthias, Hansmann, Ulrich H. E.
We apply a recently developed adaptive algorithm that systematically improves the efficiency of parallel tempering or replica exchange methods in the numerical simulation of small proteins. Feedback...
Feedback-optimized parallel tempering Monte Carlo (2006)
Katzgraber, Helmut G., Trebst, Simon, Huse, David A., Troyer, Matthias
We introduce an algorithm to systematically improve the efficiency of parallel tempering Monte Carlo simulations by optimizing the simulated temperature set. Our approach is closely related to a...
Simulations of ultracold bosonic atoms in optical lattices with anharmonic traps (2006)
Gygi, Olivier, Katzgraber, Helmut G., Troyer, Matthias, Wessel, Stefan, Batrouni, G. George
We report results of quantum Monte Carlo simulations in the canonical and the grand-canonical ensemble of the two- and three-dimensional Bose-Hubbard model with quadratic and quartic confining...
Phase diagram and visibility of optically trapped bosons (2006)
Scalettar, Richard, Rigol, M., Rousseau, Valery, Sengupta, P., Batrouni, G. George, Hebert, Frederic, ...
Simulations of ultracold bosonic atoms in optical lattices with anharmonic traps (2006)
Gygi, Olivier, Katzgraber, Helmut G., Troyer, Matthias, Wessel, Stefan, Batrouni, G. George
We report results of quantum Monte Carlo simulations in the canonical and the grand-canonical ensemble of the two- and three-dimensional Bose-Hubbard model with quadratic and quartic confining...
A continuous-time solver for quantum impurity models (2005)
Werner, Philipp, Comanac, Armin, De Medici, Luca, Troyer, Matthias, Millis, Andrew J.
We present a new continuous time solver for quantum impurity models such as those relevant to dynamical mean field theory. It is based on a stochastic sampling of a perturbation expansion in the...
Phase diagram of Bose-Fermi mixtures in one-dimensional optical lattices (2005)
Pollet, Lode, Troyer, Matthias, Van Houcke, Kris, Rombouts, Stefan M. A.
The ground state phase diagram of the one-dimensional Bose-Fermi Hubbard model is studied in the canonical ensemble using a quantum Monte Carlo method. We focus on the case where both species have...
Simulation results for an interacting pair of resistively shunted Josephson junctions (2005)
Werner, Philipp, Refael, Gil, Troyer, Matthias
Using a new cluster Monte Carlo algorithm, we study the phase diagram and critical properties of an interacting pair of resistively shunted Josephson junctions. This system models tunnelling between...
Ramping fermions in optical lattices across a Feshbach resonance (2005)
Katzgraber, Helmut G., Esposito, Aniello, Troyer, Matthias
We study the properties of ultracold Fermi gases in a three-dimensional optical lattice when crossing a Feshbach resonance. By using a zero-temperature formalism, we show that three-body processes...
Generalized Directed Loop Method for Quantum Monte Carlo Simulations (2005)
Alet, Fabien, Wessel, Stefan, Troyer, Matthias
Efficient quantum Monte Carlo update schemes called directed loops have recently been proposed, which improve the efficiency of simulations of quantum lattice models. We propose to generalize the...
Quantum Monte Carlo simulations of confined bosonic atoms in optical lattices (2005)
Wessel, Stefan, Alet, Fabien, Troyer, Matthias, Batrouni, G. George
We study properties of ultra-cold bosonic atoms in one, two and three dimensional optical lattices by large scale quantum Monte Carlo simulations of the Bose Hubbard model in parabolic confinement...
Supersolids versus phase separation in two-dimensional lattice bosons (2005)
Sengupta, Pinaki, Pryadko, Leonid P., Alet, Fabien, Troyer, Matthias, Schmid, Guido
We study the nature of the ground state of the strongly-coupled two dimensional extended boson Hubbard model on a square lattice. We demonstrate that strong but finite on-site interaction U along...
Troyer, Matthias, Wessel, Stefan, Alet, Fabien
We present a generalization of the classical Wang-Landau algorithm [Phys. Rev. Lett. 86, 2050 (2001)] to quantum systems. The algorithm proceeds by stochastically evaluating the coefficients of a...
Optimized ensemble Monte Carlo simulations of dense Lennard-Jones fluids (2005)
Trebst, Simon, Gull, Emanuel, Troyer, Matthias
We apply the recently developed adaptive ensemble optimization technique to simulate dense Lennard-Jones fluids and a particle-solvent model by broad-histogram Monte Carlo techniques. Equilibration...
Simulation results for an interacting pair of resistively shunted Josephson junctions (2005)
Werner, Philipp, Refael, Gil, Troyer, Matthias
Using a new cluster Monte Carlo algorithm, we study the phase diagram and critical properties of an interacting pair of resistively shunted Josephson junctions. This system models tunneling between...
Cluster Monte Carlo Algorithms for Dissipative Quantum Systems (2005)
Werner, Philipp, Troyer, Matthias
We review efficient Monte Carlo methods for simulating quantum systems which couple to a dissipative environment. A brief introduction of the Caldeira-Leggett model and the Monte Carlo method will be...
d-wave resonating valence bond states of fermionic atoms in optical lattices (2005)
Trebst, Simon, Schollwoeck, Ulrich, Troyer, Matthias, Zoller, Peter
We study controlled generation and measurement of superfluid d-wave resonating valence bond (RVB) states of fermionic atoms in 2D optical lattices. Starting from loading spatial and spin patterns of...
Interacting classical dimers on the square lattice (2005)
Alet, Fabien, Jacobsen, Jesper Lykke, Misguich, Gregoire, Pasquier, Vincent, Mila, Frederic, Troyer, Matthias
We study a model of close-packed dimers on the square lattice with a nearest neighbor interaction between parallel dimers. This model corresponds to the classical limit of quantum dimer models [D.S....
Supersolid hardcore bosons on the triangular lattice (2005)
Wessel, Stefan, Troyer, Matthias
We determine the phase diagram of hardcore bosons on a triangular lattice with nearest neighbor repulsion, paying special attention to the stability of the supersolid phase. Similar to the same model...
Interacting classical dimers on the square lattice (2005)
Alet, Fabien, Jacobsen, Jesper Lykke, Misguich, Gregoire, Pasquier, Vincent, Mila, Frederic, Troyer, Matthias
We study a model of close-packed dimers on the square lattice with a nearest neighbor interaction between parallel dimers. This model corresponds to the classical limit of quantum dimer models [D.S....
Equilibrium and Dynamical Properties of the Boson Hubbard Model in One Dimension (2005)
Scalettar, Richard, Batrouni, G. George, Denteneer, P. J. H., Hebert, Frederic, Muramatsu, Alejandro, Rigol, M., ...
We describe quantum monte carlo simulations of the static and dynamic properties of the one dimensional boson Hubbard model, emphasizing the extent to which an external confining potential modifies...
Generalized Directed Loop Method for Quantum Monte Carlo Simulations (2005)
Alet, Fabien, Wessel, Stefan, Troyer, Matthias
Efficient quantum Monte Carlo update schemes called directed loops have recently been proposed, which improve the efficiency of simulations of quantum lattice models. We propose to generalize the...
Interacting classical dimers on the square lattice (2005)
Alet, Fabien, Jacobsen, Jesper Lykke, Misguich, Gregoire, Pasquier, Vincent, Mila, Frederic, Troyer, Matthias
We study a model of close-packed dimers on the square lattice with a nearest neighbor interaction between parallel dimers. This model corresponds to the classical limit of quantum dimer models [D.S....
Generalized Directed Loop Method for Quantum Monte Carlo Simulations (2005)
Alet, Fabien, Wessel, Stefan, Troyer, Matthias
Efficient quantum Monte Carlo update schemes called directed loops have recently been proposed, which improve the efficiency of simulations of quantum lattice models. We propose to generalize the...
Interacting classical dimers on the square lattice (2005)
Alet, Fabien, Jacobsen, Jesper Lykke, Misguich, Gregoire, Pasquier, Vincent, Mila, Frederic, Troyer, Matthias
We study a model of close-packed dimers on the square lattice with a nearest neighbor interaction between parallel dimers. This model corresponds to the classical limit of quantum dimer models [D.S....
Quantum spin chains with site dissipation (2004)
Werner, Philipp, Troyer, Matthias, Sachdev, Subir
We use Monte Carlo simulations to study chains of Ising- and XY-spins with dissipation coupling to the site variables. The phase diagram and critical exponents of the dissipative Ising chain in a...
Supersolids versus phase separation in two-dimensional lattice bosons (2004)
Sengupta, Pinaki, Pryadko, Leonid P., Alet, Fabien, Troyer, Matthias, Schmid, Guido
We study the nature of the ground state of the strongly-coupled two dimensional extended boson Hubbard model on a square lattice. We demonstrate that strong but finite on-site interaction U along...
Wu, Yong, Koerner, Mathias, Colonna-Romano, Louis, Trebst, Simon, Gould, Harvey, Machta, Jonathan, ...
We study the performance of Monte Carlo simulations that sample a broad histogram in energy by determining the mean first-passage time to span the entire energy space of d-dimensional ferromagnetic...
Effective charging energy of the single electron box (2004)
Werner, Philipp, Troyer, Matthias
We present numerical results on electron tunneling in a single-electron box at low temperature. The effective action of this device is equivalent to the Hamiltonian of a classical XY spin chain with...
A Generic Random Number Generator Test Suite (2004)
Ruetti, Mario, Troyer, Matthias, Petersen, Wesley P.
The heart of every Monte Carlo simulation is a source of high quality random numbers and the generator has to be picked carefully. Since the ``Ferrenberg affair'' it is known to a broad community...
A cluster algorithm for resistively shunted Josephson junctions (2004)
Werner, Philipp, Troyer, Matthias
We present a cluster algorithm for resistively shunted Josephson junctions and similar physical systems, which dramatically improves sampling efficiency. The algorithm combines local updates in...
Troyer, Matthias, Wiese, Uwe-Jens
Quantum Monte Carlo simulations, while being efficient for bosons, suffer from the "negative sign problem'' when applied to fermions - causing an exponential increase of the computing time with the...
Histogram methods for quantum systems: from reweighting to Wang-Landau sampling (2004)
Troyer,Matthias, Alet,Fabien, Wessel,Stefan
We discuss how reweighting and histogram methods for classical systems can be generalized to quantum models for discrete and continuous time world line simulations, and the stochastic series...
Orbital and spin correlations in Ca$_{2-x}$Sr$_x$RuO$_4$: A mean field study (2004)
Sigrist, Manfred, Troyer, Matthias
The alloy Ca$_{2-x}$Sr$_x$RuO$_4$ exhibits a complex phase diagram with peculiar magnetic metallic phases. In this paper some aspects of this alloy are discussed based on a mean field theory for an...
Quantum Monte Carlo simulations of confined bosonic atoms in optical lattices (2004)
Wessel, Stefan, Alet, Fabien, Troyer, Matthias, Batrouni, G. George
We study properties of ultra-cold bosonic atoms in one, two and three dimensional optical lattices by large scale quantum Monte Carlo simulations of the Bose Hubbard model in parabolic confinement...
Universal conductance of nanowires near the superconductor-metal quantum transition (2004)
Sachdev, Subir, Werner, Philipp, Troyer, Matthias
We consider wires near a zero temperature transition between superconducting and metallic states. The critical theory obeys hyperscaling, which leads to a universal frequency, temperature, and length...
Computational complexity and simulation of rare events of Ising spin glasses (2004)
Pelikan, Martin, Ocenasek, Jiri, Trebst, Simon, Troyer, Matthias, Alet, Fabien
We discuss the computational complexity of random 2D Ising spin glasses, which represent an interesting class of constraint satisfaction problems for black box optimization. Two extremal cases are...
Werner, Philipp, Voelker, Klaus, Troyer, Matthias, Chakravarty, Sudip
We consider a one-dimensional Ising model in a transverse magnetic field coupled to a dissipative heat bath. The phase diagram and the critical exponents are determined from extensive Monte Carlo...
Optimizing the ensemble for equilibration in broad-histogram Monte Carlo simulations (2004)
Trebst, Simon, Huse, David A., Troyer, Matthias
We present an adaptive algorithm which optimizes the statistical-mechanical ensemble in a generalized broad-histogram Monte Carlo simulation to maximize the system's rate of round trips in total...
Quantum Monte Carlo simulations of confined bosonic atoms in optical lattices (2004)
Wessel, Stefan, Alet, Fabien, Troyer, Matthias, Batrouni, G. George
We study properties of ultra-cold bosonic atoms in one, two and three dimensional optical lattices by large scale quantum Monte Carlo simulations of the Bose Hubbard model in parabolic confinement...
Supersolids versus phase separation in two-dimensional lattice bosons (2004)
Sengupta, Pinaki, Pryadko, Leonid P., Alet, Fabien, Troyer, Matthias, Schmid, Guido
We study the nature of the ground state of the strongly-coupled two dimensional extended boson Hubbard model on a square lattice. We demonstrate that strong but finite on-site interaction U along...
Local Mott Metal-Insulator Transition in Confined Fermions on Optical Lattices (2004)
Rigol, M., Muramatsu, Alejandro, Batrouni, G. George, Scalettar, Richard, Denteneer, P. J. H., Troyer, Matthias
Quantum Monte-Carlo Simulation of Confined Bosonic Atoms in Optical Latticed (2004)
Wessel, Stefan, Alet, Fabien, Troyer, Matthias, Batrouni, G. George
Quantum Monte Carlo simulations of confined bosonic atoms in optical lattices (2004)
Wessel, Stefan, Alet, Fabien, Troyer, Matthias, Batrouni, G. George
We study properties of ultra-cold bosonic atoms in one, two and three dimensional optical lattices by large scale quantum Monte Carlo simulations of the Bose Hubbard model in parabolic confinement...
Supersolids versus phase separation in two-dimensional lattice bosons (2004)
Sengupta, Pinaki, Pryadko, Leonid P., Alet, Fabien, Troyer, Matthias, Schmid, Guido
We study the nature of the ground state of the strongly-coupled two dimensional extended boson Hubbard model on a square lattice. We demonstrate that strong but finite on-site interaction U along...
Generalized Directed Loop Method for Quantum Monte Carlo Simulations (2003)
Alet, Fabien, Wessel, Stefan, Troyer, Matthias
Efficient quantum Monte Carlo update schemes called directed loops have recently been proposed, which improve the efficiency of simulations of quantum lattice models. We propose to generalize the...
On the Melting of Bosonic Stripes (2003)
Schmid, Guido, Troyer, Matthias
We use quantum Monte Carlo simulations to determine the finite temperature phase diagram and to investigate the thermal and quantum melting of stripe phases in a two-dimensional hard-core boson...
Mott Domains of Bosons and Fermions Confined in Optical Lattices (2003)
Rigol, M., Muramatsu, Alejandro, Batrouni, G. George, Rousseau, Valery, Scalettar, Richard, Denteneer, P. J. H., ...
xx
Melting of Stripes in a Two-Dimensional Hard-Core Boson Hubbard Model (2003)
Schmid, Guido, Todo, Synge, Troyer, Matthias, Batrouni, G. George
N\'eel and Spin-Peierls ground states of two-dimensional SU(N) quantum antiferromagnets (2002)
Harada, Kenji, Kawashima, Naoki, Troyer, Matthias
The two-dimensional SU(N) quantum antiferromagnet, a generalization of the quantum Heisenberg model, is investigated by quantum Monte Carlo simulations. The ground state for $N\le 4$ is found to be...
Troyer, Matthias, Wessel, Stefan, Alet, Fabien
We present a generalization of the classical Wang-Landau algorithm [Phys. Rev. Lett. 86, 2050 (2001)] to quantum systems. The algorithm proceeds by stochastically evaluating the coefficients of a...
The transition between hole-pairs and four-hole clusters in four-leg tJ ladders (2002)
Siller, Thomas, Troyer, Matthias, Rice, T. M., White, Steven R.
Holes weakly doped into a four-leg \tj ladder bind in pairs. At dopings exceeding a critical doping of $\delta_c\simeq {1/8}$ four hole clusters are observed to form in DMRG calculations. The...
Quantum phase transitions in the two-dimensional hardcore boson model (2002)
Hebert, Frederic, Batrouni, G. George, Scalettar, Richard, Schmid, Guido, Troyer, Matthias, Dorneich, Ansgar
We use two quantum Monte Carlo algorithms to map out the phase diagram of the two-dimensional hardcore boson Hubbard model with near (V1) and next near (V2) neighbor repulsion. At half filling we...
Troyer, Matthias, Wessel, Stefan, Alet, Fabien
We present a generalization of the classical Wang-Landau algorithm [Phys. Rev. Lett. 86, 2050 (2001)] to quantum systems. The algorithm proceeds by stochastically evaluating the coefficients of a...
Destruction of superfluid and long range order by impurities in two dimensional systems (2002)
Bernardet, Karem, Batrouni, G. George, Troyer, Matthias, Dorneich, Ansgar
Troyer, Matthias, Wessel, Stefan, Alet, Fabien
We present a generalization of the classical Wang-Landau algorithm [Phys. Rev. Lett. 86, 2050 (2001)] to quantum systems. The algorithm proceeds by stochastically evaluating the coefficients of a...
Finite-Temperature Phase Diagram of Hard-Core Bosons in Two Dimensions (2001)
Schmid, Guido, Todo, Synge, Troyer, Matthias, Dorneich, Ansgar
We determine the finite-temperature phase diagram of the square lattice hard-core boson Hubbard model with nearest neighbor repulsion using quantum Monte Carlo simulations. This model is equivalent...
Spin orthogonality catastrophe in two-dimensional antiferromagnets and superconductors (2000)
Sachdev, Subir, Troyer, Matthias, Vojta, Matthias
We compute the spectral function of a spin S hole injected into a two-dimensional antiferromagnet or superconductor in the vicinity of a magnetic quantum critical point. We show that, near van Hove...
Ammon, Beat, Troyer, Matthias, Rice, T. M., Shibata, N.
Accurate numerical simulations of a doped t-J model on a two-leg ladder are presented for the particle number, chemical potential, magnetic susceptibility and entropy in the limit of large exchange...
Thermodynamics of Random Ferromagnetic Antiferromagnetic Spin-1/2 Chains (1998)
Frischmuth, Beat, Sigrist, Manfred, Ammon, Beat, Troyer, Matthias
Using the quantum Monte Carlo Loop algorithm, we calculate the temperature dependence of the uniform susceptibility, the specific heat, the correlation length, the generalized staggered...
Universal critical temperature for Kosterlitz-Thouless transitions in bilayer quantum magnets (1998)
Troyer, Matthias, Sachdev, Subir
Recent experiments show that double layer quantum Hall systems may have a ground state with canted antiferromagnetic order. In the experimentally accessible vicinity of a quantum critical point, the...
Thermodynamics of the one-dimensional SU(4) symmetric spin-orbital model (1998)
Frischmuth, Beat, Mila, Frederic, Troyer, Matthias
The ground state properties and the thermodynamics of the one-dimensional SU(4) symmetric spin system with orbital degeneracy are investigated using the quantum Monte Carlo loop algorithm. The...
Miyahara, Shin, Troyer, Matthias, Johnston, David C., Ueda, Kazuo
We study the spin-1/2 trellis lattice Heisenberg model, a coupled spin ladder system, both by perturbation around the dimer limit and by quantum Monte Carlo simulations. We discuss the influence of...
Spin-spin Correlation lengths of Bilayer Antiferromagnets (1998)
Yin, Lan, Troyer, Matthias, Chakravarty, Sudip
The spin-spin correlation length and the static structure factor for bilayer antiferromagnets, such as YBa$_2$Cu$_3$O$_{6}$, are calculated using field theoretical and numerical methods. It is shown...
The Two-Dimensional S=1 Quantum Heisenberg Antiferromagnet at Finite Temperatures (1997)
Harada, Kenji, Troyer, Matthias, Kawashima, Naoki
The temperature dependence of the correlation length, susceptibilities and the magnetic structure factor of the two-dimensional spin-1 square lattice quantum Heisenberg antiferromagnet are computed...
Quantum Monte Carlo Loop Algorithm for the t-J Model (1997)
Ammon, Beat, Evertz, Hans Gerd, Kawashima, Naoki, Troyer, Matthias, Frischmuth, Beat
We propose a generalization of the Quantum Monte Carlo loop algorithm to the t-J model by a mapping to three coupled six-vertex models. The autocorrelation times are reduced by orders of magnitude...
Asymptotic scaling of the square lattice quantum Heisenberg antiferromagnet (1997)
Kim, Jae-Kwon, Troyer, Matthias
We present thermodynamic measurements of various physical observables of the two dimensional S=1/2 isotropic quantum Heisenberg antiferromagnet on a square lattice, obtained by quantum Monte Carlo....
Quantum critical exponents of a planar antiferromagne (1997)
Troyer, Matthias, Imada, Masatoshi
We present high precision estimates of the exponents of a quantum phase transition in a planar antiferromagnet. This has been made possible by the recent development of cluster algorithms for quantum...
Kim, Jae-Kwon, Landau, D. P., Troyer, Matthias
We present an analysis of high precision Monte Carlo data for the two dimensional S=1/2 quantum Heisenberg antiferromagnet up to $\xi = 95.7(3)$ obtained by the continuous time version of the loop...
Critical exponents of the quantum phase transition in a planar antiferromagnet (1997)
Troyer, Matthias, Imada, Masatoshi, Ueda, Kazuo
We have performed a large scale quantum Monte Carlo study of the quantum phase transition in a planar spin-1/2 Heisenberg antiferromagnet with CaV4O9 structure. We obtain a dynamical exponent...
Nearly critical ground state of LaCuO2.5 (1996)
Troyer, Matthias, Zhitomirsky, M. E., Ueda, Kazuo
Using a combination of analytical techniques and Quantum Monte Carlo simulations we investigate the coupled spin ladder system LaCuO2.5. At a critical ratio of the interladder to intraladder coupling...
Susceptibility and Low Temperature Thermodynamics of Spin-1/2 Heisenberg Ladders (1996)
Frischmuth, Beat, Ammon, Beat, Troyer, Matthias
The temperature dependence of the uniform susceptibility and the ground state energy of antiferromagnetic Heisenberg ladders with up to 6 legs has been calculated, using the Monte Carlo loop...
Phase diagram of depleted Heisenberg model for CaV4O9 (1995)
Troyer, Matthias, Kontani, Hiroshi, Ueda, Kazuo
We have numerically investigated the 1/5-depleted Heisenberg square lattice representing CaV4O9 using the Quantum Monte Carlo loop algorithm. We have determined the phase diagram of the model as a...
Properties of lightly doped t-J two-leg ladders (1995)
Troyer, Matthias, Tsunetsugu, Hirokazu, Rice, T. M.
We have numerically investigated the doped t-J ladder using exact diagonalization. We have studied both the limit of strong inter-chain coupling and isotropic coupling. The ladder scales to the...
Effect of the Three-Site Hopping Term on the t-J Model (1995)
Ammon, Beat, Troyer, Matthias, Tsunetsugu, Hirokazu
We have used exact diagonalization and quantum Monte Carlo methods to study the one-dimensional {t-J} model including the three-site hopping term derived from the strong coupling limit of the Hubbard...
Singlet Stripe Phases in the planar t-J Model (1994)
Tsunetsugu, Hirokazu, Troyer, Matthias, Rice, T. M.
The energies of singlet stripe phases in which a plane is broken up into spin liquid ladders by lines of holes, is examined. If the holes were static then patterns containing spin liquids with a...
Troyer, Matthias, Tsunetsugu, Hirokazu, Wuertz, Diethelm
We have developed an improved version of the quantum transfer matrix algorithm. The extreme eigenvalues and eigenvectors of the transfer matrix are calculated by the recently developed look-ahead...
Pairing and Excitation Spectrum in doped t-J Ladders (1994)
Tsunetsugu, Hirokazu, Troyer, Matthias, Rice, T. Maurice
Exact diagonalization studies for a doped t-J ladder (or double chain) show hole pairing in the ground state. The excitation spectrum separates into a limited number of quasiparticles which carry...
Ferromagnetism of the 1-D Kondo Lattice Model: A Quantum Monte Carlo Study (1992)
Troyer, Matthias, Würtz, Diethelm
The one dimensional Kondo lattice model is investigated using Quantum Monte Carlo and transfer matrix techniques. In the strong coupling region ferromagnetic ordering is found even at large band...