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 (8)

• The large deviation approach to statistical mechanics
• Dynamic first-order phase transition in kinetically constrained models of glasses
• 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
• Ground state cooling of a nanomechanical resonator via a Cooper pair box qubit
• Invariant quantities in shear flow
• Thermodynamic formalism for dissipative quantum walks
• Space-time Phase Transitions in Driven Kinetically Constrained Lattice Models