Entanglement mean field theory: Lipkin–Meshkov–Glick Model

Julien Vidal, Guillaume Palacios, Claude Aslangul

José Ignacio Latorre

S. Momme Hengstenberg, Caroline Robin, Martin J. Savage A

Simon Kothe, Christopher Oliver, Peter Kirton

The open Lipkin-Meshkov-Glick (LMG) model provides a prototype of a dissipative phase transition which can be analyzed using mean-field theory. By combining the physics of this model with those of a quantum analog of a parity-time reversal symmetry breaking transition we analyze the steady state phase diagram of a pair of coupled LMG models. Their competition generates a complex phase diagram with multiple steady-state phases and emergent dynamical regimes absent from either constituent model, including chaos characterized by the maximum Lyapunov exponent. We show that the effects predicted from mean-field theory survive in the full quantum model.

Simon Kothe, Christopher Oliver, Peter Kirton

The open Lipkin-Meshkov-Glick (LMG) model provides a prototype of a dissipative phase transition which can be analyzed using mean-field theory. By combining the physics of this model with those of a quantum analog of a parity-time reversal symmetry breaking transition we analyze the steady state phase diagram of a pair of coupled LMG models. Their competition generates a complex phase diagram with multiple steady-state phases and emergent dynamical regimes absent from either constituent model, including chaos characterized by the maximum Lyapunov exponent. We show that the effects predicted from mean-field theory survive in the full quantum model.

Blin, AHHiller, BLi

The Lipkin-Meshkov-Glick model is studied at finite temperature in mean The Lipkin-Meshkov-Glick model is studied at finite temperature in mean