Dissipation-driven quantum phase transitions in collective spin systems

Abstract

We consider two different collective spin systems subjected to strong dissipation -- on the same scale as interaction strengths and external fields -- and show that either continuous or discontinuous dissipative quantum phase transitions can occur as the dissipation strength is varied. First, we consider a well known model of cooperative resonance fluorescence that can exhibit a second-order quantum phase transition, and analyze the entanglement properties near the critical point. Next, we examine a dissipative version of the Lipkin-Meshkov-Glick interacting collective spin model, where we find that either first- or second-order quantum phase transitions can occur, depending only on the ratio of the interaction and external field parameters. We give detailed results and interpretation for the steady state entanglement in the vicinity of the critical point, where it reaches a maximum. For the first-order transition we find that the semiclassical steady states exhibit a region of bistability.

12 pages, 16 figures, removed section on homodyne spectra

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• Open quantum systems with local and collective incoherent processes: Efficient numerical simulation using permutational invariance
• Quantum Classical Correspondence for a non-Hermitian Bose-Hubbard Dimer
• Review: Quantum Metrology and Sensing with Many-Body Systems
• Dissipation driven quantum phase transitions and symmetry breaking
• Generalized Schrieffer-Wolff Formalism for Dissipative Systems
• Quantum metrology with boundary time crystals
• Symmetries and conserved quantities of boundary time crystals in generalized spin models
• Boundary time crystals in collective $d$-level systems
• Dissipative phase transitions: Independent versus collective decay and spin squeezing
• Rapid thermalization of spin chain commuting Hamiltonians
• Dynamical and Steady State Properties of a Bose-Hubbard Chain with Bond-Dissipation: A Study based on Matrix Product Operators
• Resonance solutions of the nonlinear Schrödinger equation in an open double-well potential
• Dissipative phase transitions in optomechanical systems
• Revealing the nature of non-equilibrium phase transitions with quantum trajectories
• Single-Particle Decoherence Can Improve Spin-Squeezing Generated In Collective Dynamics
• Generating coherence and entanglement with a finite-size atomic ensemble in a ring cavity
• Short-time expansion of Heisenberg operators in open collective quantum spin systems
• Reaction-diffusion dynamics in a Fibonacci chain: Interplay between classical and quantum behavior
• Lasing and counter-lasing phase transitions in a cavity QED system
• Coherent pair injection as a route towards the enhancement of supersolid order in many-body bosonic models
• Bounding fidelity in quantum feedback control: theory and applications to Dicke state preparation