159 citations · 438 across the 9 of their papers we have counts for
9 papers
Structure of the number projected BCS wave function
J. Dukelsky, S. Pittel, C. Esebbag
We study the structure of the number projected BCS (PBCS) wave function in the particle-hole basis, displaying its similarities with coupled clusters theory (CCT). The analysis of…
The Elliptic Gaudin Model: a Numerical Study
Carlos Esebbag, Jorge Dukelsky
The elliptic Gaudin model describes completely anisotropic spin systems with long range interactions. The model was proven to be quantum integrable by Gaudin and latter the exact s…
Many-body characterization of topological superconductivity: The Richardson-Gaudin-Kitaev chain
Gerardo Ortiz, Jorge Dukelsky, Emilio Cobanera +2
What distinguishes trivial from topological superluids in interacting many-body systems where the number of particles is conserved? Building on a class of integrable pairing Hamilt…
Comment on "Fermi-Bose Mixtures near Broad Interspecies Feshbach Resonances"
J. Dukelsky, C. Esebbag, P. Schuck +1
In a recent Letter (Phys. Rev. lett. 105, 195301 (2010)), Song et al. introduced a new variational approach to treat strong attractive boson-fermion (BF) correlations in BF atomic…
Pairing in 4-component fermion systems: the bulk limit of SU(4)-symmetric Hamiltonians
G. F. Bertsch, J. Dukelsky, B. Errea +1
Fermion systems with more than two components can exhibit pairing condensates of much more complex structure than the well-known single BCS condensate of spin-up and spin-down ferm…
Solving the Richardson equations close to the critical points
F. Dominguez, C. Esebbag, J. Dukelsky
We study the Richardson equations close to the critical values of the paring strength g_c where the occurrence of divergencies preclude numerical solutions. We derive a set of equa…
Exactly-solvable models for atom-molecule hamiltonians
J. Dukelsky, G. G. Dussel, C. Esebbag +1
We present a family of exactly-solvable generalizations of the Jaynes-Cummings model involving the interaction of an ensemble of SU(2) or SU(1,1) quasi-spins with a single boson fi…
Electrostatic mapping of nuclear pairing
J. Dukelsky, C. Esebbag, S. Pittel
The traditional nuclear pairing problem is shown to be in one-to-one correspondence with a classical electrostatic problem in two dimensions. We make use of this analogy in a serie…
A Class of Exactly Solvable Pairing Models
J. Dukelsky, C. Esebbag, P. Schuck
We present three classes of exactly solvable models for fermion and boson systems, based on the pairing interaction. These models are solvable in any dimension. As an example we sh…