Decoherence as a signature of an excited-state quantum phase transition (2008)
Relaño, Armando, Arias, J.M., Dukelsky, Jorge, García-Ramos, J.E., Pérez-Fernández, P.
4 pages, 4 figures.--PACS nrs.: 03.65.Yz; 64.70.Tg; 05.70.Fh.
Breached pairing in trapped three-color atomic Fermi gases (2008)
Errea, Beatriz, Dukelsky, Jorge, Ortiz, Gerardo
We introduce an exactly solvable model for trapped three-color atom gases. Applications to a cigar-shaped trapped cold fermions reveal a complex structure of breached pairing phases. We find two...
Crystallization of trions in SU(3) cold atom gases trapped in optical lattices (2008)
Molina, Rafael A., Dukelsky, Jorge, Schmitteckert, Peter
Cold Fermionic atoms with three different hyperfine states confined in optical lattices show pronounced Atomic Density Waves (ADWs). These ADWs are pinned due to the confining potential that traps...
Relaño, Armando, Dukelsky, Jorge, Molina, Rafael A.
9 pages, 2 tables, 9 figures.--PACS nrs.: 05.45.Mt; 03.65.Yz; 02.30.Ik; 75.10.Jm.
Commensurability Effects for Fermionic Atoms Trapped in 1D Optical Lattices (2007)
Molina, Rafael A., Dukelsky, Jorge, Schmitteckert, Peter
4 pages, 5 figures.--PACS nrs.: 05.30.Fk; 03.75.Ss; 71.10.Pm.
Commensurability effects for fermionic atoms trapped in 1D optical lattices (2007)
Molina, Rafael A., Dukelsky, Jorge, Schmitteckert, Peter
Fermionic atoms in two different hyperfine states confined in optical lattices show strong commensurability effects due to the interplay between the atomic density wave (ADW) ordering and the lattice...
Exact Solution of the Spin-Isospin Proton-Neutron Pairing Hamiltonian (2007)
Lerma H., Sergio, Errea, Beatriz, Dukelsky, Jorge, Satula, W.
4 pages, 2 figures.--PACS nrs.: 21.60.Fw; 02.30.Ik; 74.20.Rp
Cooper pairs in atomic nuclei (2007)
Dussel, G.G., Pittel, S., Dukelsky, Jorge, Sarriguren, Pedro
5 pages, 1 table, 3 figures.--PACS nrs.: 21.60.-n; 02.30.Ik; 03.75.Ss; 74.20.Fg.
Two-level interacting boson models beyond the mean field (2007)
Arias, Jose M., Dukelsky, Jorge, García-Ramos, José Enrique, Vidal, Julien
10 pages, 1 table, 12 figures.--PACS nrs.: 21.60.Fw; 73.43.Nq.--ArXiv pre-print available at: http://arxiv.org/abs/nucl-th/0609001v1.
Solving the Richardson equations close to the critical points (2006)
Domínguez, F., Esebbag, C., Dukelsky, Jorge
12 pages, 3 tables, 2 figures.--PACS nrs.: 02.30.Ik, 71.10.Li, 74.20.Fg.--Arxiv pre-print available at: http://arxiv.org/abs/math-ph/0609022
Exactly solvable models of proton and neutron interacting bosons (2006)
Lerma H., Sergio, Errea, Beatriz, Dukelsky, Jorge, Pittel, S., Van Isacker, P.
7 pages, 2 tables, 3 figures.--PACS nrs.: 21.60.Fw; 21.60.Ev; 03.65.Fd.--ArXiv pre-print available at: http://arxiv.org/abs/nucl-th/0605011v1
Exactly solvable Richardson–Gaudin models and their applications (2006)
3 pages, 1 table, 1 figure.--PACS nrs.: 21.60.Cs, 21.60.Fw, 02.30.Ik.--Arxiv pre-print available at: http://arxiv.org/abs/math-ph/0609022v1
Exact Solution of the Isovector Neutron-Proton Pairing Hamiltonian (2006)
Dukelsky, Jorge, Gueorguiev, V. G., Van Isacker, P., Dimitrova, S., Errea, Beatriz, Lerma H., Sergio
4 pages, 3 figures.--PACS nrs.: 21.60.Fw; 03.65.-w; 27.50.+e; 74.20.Rp.--ArXiv pre-print available at: http://arxiv.org/abs/nucl-th/0601082v1
BCS-to-BEC crossover from the exact BCS solution (2005)
5 pages, 1 table, 4 figures.--PACS nrs.: 03.75.Ss, 02.30.Ik, 05.30.Fk, 74.20.Fg.--Arxiv pre-print available at: http://arxiv.org/abs/cond-mat/0503664
BCS-to-BEC crossover from the exact BCS solution (2005)
Ortiz, Gerardo, Dukelsky, Jorge
The BCS-to-BEC crossover, as well as the nature of Cooper pairs, in a superconducting and Fermi superfluid medium is studied from the exact ground state wavefunction of the reduced BCS Hamiltonian....
Jemai, Mohsen, Schuck, Peter, Dukelsky, Jorge, Bennaceur, Raouf
Within the 1D Hubbard model linear closed chains with various numbers of sites are considered in Self Consistent Random Phase Approximation (SCRPA). Excellent results with a minimal numerical effort...
The Density Matrix Renormalization Group for finite Fermi systems (2004)
Dukelsky, Jorge, Pittel, Stuart
The Density Matrix Renormalization Group (DMRG) was introduced by Steven White in 1992 as a method for accurately describing the properties of one-dimensional quantum lattices. The method, as...
Solving the Richardson equations for Fermions (2003)
Rombouts, Stefan, Van Neck, Dimitri, Dukelsky, Jorge
Forty years ago Richardson showed that the eigenstates of the pairing Hamiltonian with constant interaction strength can be calculated by solving a set of non-linear coupled equations. However, in...
Fully Self-consistent RPA description of the many level pairing model (2001)
Hirsch, Jorge G., Mariano, Alejandro, Dukelsky, Jorge, Schuck, Peter
The Self-Consistent RPA (SCRPA) equations in the particle-particle channel are solved without any approximation for the picket fence model. The results are in excellent agreement with the exact...
Valence Bond Mapping of Antiferromagnetic Spin Chains (1997)
Dukelsky, Jorge, Pittel, Stuart
Boson mapping techniques are developed to describe valence bond correlations in quantum spin chains. Applying the method to the alternating bond hamiltonian for a generic spin chain, we derive an...