Dynamical symmetries and crossovers in a three-spin system with collective dissipation

Abstract

We consider the non-equilibrium dynamics of a simple system consisting of interacting spin-$1/2$ particles subjected to a collective damping. The model is close to situations that can be engineered in hybrid electro/opto-mechanical settings. Making use of large-deviation theory, we find a Gallavotti-Cohen symmetry in the dynamics of the system as well as evidence for the coexistence of two dynamical phases with different activity levels. We show that additional damping processes smoothen out this behavior. Our analytical results are backed up by Monte Carlo simulations that reveal the nature of the trajectories contributing to the different dynamical phases.

6 pages, 5 figures

References in corpus (35)

• The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences
• The large deviation approach to statistical mechanics
• The Quantum Jump Approach to Dissipative Dynamics in Quantum Optics
• A Gallavotti-Cohen Type Symmetry in the Large Deviation Functional for Stochastic Dynamics
• Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
• Dynamic first-order phase transition in kinetically constrained models of glasses
• A quantum spin transducer based on nano electro-mechancial resonator arrays
• Thermodynamic formalism for systems with Markov dynamics
• Thermodynamics of Quantum Jump Trajectories
• Towards a large-scale quantum simulator on diamond surface at room temperature
• Strain-mediated coupling in a quantum dot-mechanical oscillator hybrid system
• Large deviations and ensembles of trajectories in stochastic models
• Dynamical quantum phase transitions and the Loschmidt echo: A transfer matrix approach
• Space-time Thermodynamics of the Glass Transition
• Simulating rare events in dynamical processes
• Dynamical phases and intermittency of the dissipative quantum Ising model
• Spontaneous Symmetry Breaking at the Fluctuating Level
• Trajectory phase transitions, Lee-Yang zeros, and high-order cumulants in full counting statistics
• Characterization of dynamical phase transitions in quantum jump trajectories beyond the properties of the stationary state
• Reconfigurable long-range phonon dynamics in optomechanical arrays
• Symmetry and the thermodynamics of currents in open quantum systems
• Exact large-deviation statistics for a nonequilibrium quantum spin chain
• Thermodynamic formula for the cumulant generating function of time-averaged current
• Quantum trajectory phase transitions in the micromaser
• Dynamic transition in an atomic glass former: a molecular dynamics evidence
• Ground state cooling of a nanomechanical resonator via a Cooper pair box qubit
• Invariant quantities in shear flow
• Time-integrated observables as order parameters for dynamical phase transitions in closed quantum systems
• Thermodynamics of Quadrature Trajectories in Open Quantum Systems
• Large deviations of ergodic counting processes: a statistical mechanics approach
• Large-deviation analysis for counting statistics in mesoscopic transports
• Phase Transitions in Trajectories of a Superconducting Single-Electron Transistor Coupled to a Resonator
• Thermodynamic formalism for dissipative quantum walks
• Space-time Phase Transitions in Driven Kinetically Constrained Lattice Models
• Asymptotic inference in system identification for the atom maser

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• Harnessing symmetry to control quantum transport
• Coupled activity-current fluctuations in open quantum systems under strong symmetries
• Thermodynamics of trajectories of a quantum harmonic oscillator coupled to $N$ baths
• Thermodynamics of trajectories and local fluctuation theorems for harmonic quantum networks
• Thermodynamics of trajectories of open quantum systems, step by step
• Transport through a quantum critical system: A thermodynamically consistent approach