Dissipative phase transitions: Independent versus collective decay and spin squeezing

Abstract

We study the XY model with infinite-range interactions (Lipkin-Meshkov-Glick model) in the presence of dissipation from spontaneous decay. We show that independent and collective decay lead to qualitatively different phase transitions of the steady state, even though the phase boundary is the same. Independent decay leads to a second-order phase transition to a ferromagnet, while collective decay leads to a first-order transition to a time-dependent oscillatory phase. Then we show that the addition of a drive leads to infinite spin squeezing for collective decay in the thermodynamic limit. Our results can be experimentally seen in trapped-ion and cavity-QED experiments.

arXiv comment9 pages, 6 figures

References in corpus (37)

• Multi-particle entanglement of hot trapped ions
• Cold atoms in cavity-generated dynamical optical potentials
• Quantum trajectories and open many-body quantum systems
• Non-local propagation of correlations in long-range interacting quantum systems
• Quantum noise limited and entanglement-assisted magnetometry
• Dissipative production of a maximally entangled steady state
• Dissipative Phase Transition in Central Spin Systems
• States of an Ensemble of Two-Level Atoms with Reduced Quantum Uncertainty
• Magnetic sensitivity beyond the projection noise limit by spin squeezing
• Entanglement in the Dicke model
• Cooperative non-equilibrium phase transition in a dilute Rydberg ensemble
• Quantum Synchronization of Two Ensembles of Atoms
• Antiferromagnetic phase transition in a nonequilibrium lattice of Rydberg atoms
• Collective quantum jumps of Rydberg atoms
• Unconventional magnetism via optical pumping of interacting spin systems
• Heralded magnetism in non-Hermitian atomic systems
• Orientation-Dependent Entanglement Lifetime in a Squeezed Atomic Clock
• Dissipative Preparation of Spin Squeezed Atomic Ensembles in a Steady State
• Entanglement tongue and quantum synchronization of disordered oscillators
• Squeezing the Collective Spin of a Dilute Atomic Ensemble by Cavity Feedback
• Dynamical quantum phase transitions in the dissipative Lipkin-Meshkov-Glick model and proposed realization in optical cavity QED
• Full counting statistics and phase diagram of a dissipative Rydberg gas
• Mesoscopic Entanglement Induced by Spontaneous Emission in Solid-State Quantum Optics
• Spin squeezing of a cold atomic ensemble with the nuclear spin of one-half
• Light-Matter Quantum Interface
• Low-lying bifurcations in cavity quantum electrodynamics
• Concurrence in collective models
• Collective spin systems in dispersive optical cavity QED: Quantum phase transitions and entanglement
• Quantum correlations in the 1-D driven dissipative transverse field XY model
• Steady-state phase diagram of a driven QED-cavity array with cross-Kerr nonlinearities
• Collective Uncertainty in Partially-Polarized and Partially-Decohered Spin-1/2 Systems
• Quantum interference between independent reservoirs in open quantum systems
• Dissipation through localised loss in bosonic systems with long-range interactions
• Coherent versus incoherent excitation dynamics in dissipative many-body Rydberg systems
• Steady state properties of a driven atomic ensemble with non-local dissipation
• Dissipation-driven quantum phase transitions in collective spin systems
• Dissipative transverse-field Ising model: steady-state correlations and spin squeezing

Cited by in corpus (37)

• Complex Spacing Ratios: A Signature of Dissipative Quantum Chaos
• Entanglement and spin squeezing in non-Hermitian phase transitions
• Excited-state quantum phase transitions
• Dissipation driven quantum phase transitions and symmetry breaking
• Symmetries and conserved quantities of boundary time crystals in generalized spin models
• Mean-field validity in a dissipative critical system: Liouvillian gap, $\mathbb{PT}$-symmetric antigap, and permutational symmetry in the $XYZ$ model
• Driven-Dissipative Quantum Dynamics in Ultra Long-lived Dipoles in an Optical Cavity
• From integrability to chaos in quantum Liouvillians
• The Lipkin-Meshkov-Glick model with Markovian dissipation -- A description of a collective spin on a metallic surface
• Time delayed control of excited state quantum phase transitions in the Lipkin-Meshkov-Glick model
• Quantum non-stationary phenomena of spin systems in collision models
• Quantum features of entropy production in driven-dissipative transitions
• Precision Measurements Using Squeezed Spin States via Two-axis Counter-twisting Interactions
• PsiQuaSP -- A library for efficient computation of symmetric open quantum systems
• Synchronization of persistent oscillations in spin systems with non-local dissipations
• Experimental quantification of spatial correlations in quantum dynamics
• Quantifying Spatial Correlations of General Quantum Dynamics
• Single-Particle Decoherence Can Improve Spin-Squeezing Generated In Collective Dynamics
• Controlling Matter Phases beyond Markov
• Superradiance-induced multistability in driven Rydberg lattice gases
• Spectral theory of non-Markovian dissipative phase transitions
• Critical steady states of all-to-all squeezed and driven superradiance: An analytic approach
• Dynamic phase transitions of a driven Ising chain in a dissipative cavity
• Polaron-transformed dissipative Lipkin-Meshkov-Glick Model
• Entropy production dynamics in quench protocols of a driven-dissipative critical system
• Crossover from the discontinuous to continuous phase transitions in dissipative spin system with collective decay
• Dynamical signatures of discontinuous phase transitions: How phase coexistence determines exponential versus power-law scaling
• Optimal Spin Squeezed Steady State induced by the dynamics of non-hermtian hamiltonians
• Wiseman-Milburn Control for the Lipkin-Meshkov-Glick Model
• Dissipative phase transition: from qubits to qudits
• Efficient quantum information probes of non-equilibrium quantum criticality
• Continuous time crystals as a PT symmetric state and the emergence of critical exceptional points
• Permutationally invariant processes in open multiqudit systems
• Persistent subradiant correlations in a random driven Dicke model
• Reconfigurable dissipative entanglement between many spin ensembles: from robust quantum sensing to many-body state engineering
• Quantum correlated steady states under competing collective and individual decay
• Macroscopic theory of multipartite correlations in permutation-invariant open quantum systems