activity
19962025
most citedExactly solvable Richardson-Gaudin models for many-body quantum systems

411 citations · 1.9k across the 31 of their papers we have counts for

collaborators

31 papers

quant-ph2025

Role of exceptional points in the dynamics of the Lindblad Sachdev-Ye-Kitaev model

Jie-ping Zheng, Jorge Dukelsky, Rafael A. Molina +1

The out of equilibrium dynamics of the Sachdev-Ye-Kitaev model (SYK), comprising Majoranas with random all-to-all four-body interactions, minimally coupled to a Markovian bath…

quant-ph2024★ 5 cited

Constants of motion characterizing continuous symmetry-broken phases

Ángel L. Corps, Jorge Dukelsky, Armando Relaño

We present a theory characterizing the phases emerging as a consequence of continuous symmetry-breaking in quantum and classical systems. In symmetry-breaking phases, dynamics is r…

nucl-th2020★ 30 cited

Equation of Motion Method to strongly correlated Fermi systems and Extended RPA approaches

P. Schuck, D. S. Delion, J. Dukelsky +4

The status of different extensions of the Random Phase Approximation (RPA) is reviewed. The general framework is given within the Equation of Motion Method and the equivalent Green…

nucl-th2016★ 6 cited

On the solution of a pairing problem in the continuum

A. Mercenne, N. Michel, J. Dukelsky +1

We present a generalized Richardson solution for fermions interacting with the pairing interaction in both discrete and continuum parts of the single particle (s.p.) spectrum. The…

math-ph2015★ 5 cited

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…

nucl-th2014★ 8 cited

Disentangling phase transitions and critical points in the proton-neutron interacting boson model by catastrophe theory

J. E. Garcia-Ramos, J. M. Arias, J. Dukelsky

We introduce the basic concepts of catastrophe theory needed to derive analytically the phase diagram of the proton-neutron interacting boson model (IBM-2). Previous studies [1,2,3…