Polaron-transformed dissipative Lipkin-Meshkov-Glick Model

Abstract

We investigate the Lipkin-Meshkov-Glick model coupled to a thermal bath. Since the isolated model itself exhibits a quantum phase transition, we explore the critical signatures of the open system. Starting from a system-reservoir interaction written in positive definite form, we find that the position of the critical point remains unchanged, in contrast to the popular mean-field prediction. Technically, we employ the polaron transform to be able to study the full crossover regime from the normal to the symmetry-broken phase, which allows us to investigate the fate of quantum-critical points subject to dissipative environments. The signatures of the phase transition are reflected in observables like stationary mode occupation or waiting-time distributions.

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Cited by in corpus (5)

• Effective-Hamiltonian theory: An approximation to the equilibrium state of open quantum systems
• Thermalization of a Lipkin-Meshkov-Glick model coupled to a bosonic bath
• Heat, particle and chiral currents in a boundary driven bosonic ladders in presence of gauge fields
• Transport through a quantum critical system: A thermodynamically consistent approach
• Bosonic representation of a Lipkin-Meshkov-Glick model with Markovian dissipation