Dynamical phases and intermittency of the dissipative quantum Ising model

TL;DR

This paper investigates the dynamical phases of a dissipative quantum Ising model, revealing a first order phase transition and intermittent behavior in the emission of bath quanta, with implications for experimental realizations.

Contribution

It introduces a dynamical activity order parameter to identify phase transitions and connects it to static magnetization, advancing understanding of dissipative quantum phase behavior.

Findings

Identifies a first order dynamical phase transition between active and inactive phases.

Shows dynamical phase coexistence leads to intermittent bath quanta emission.

Establishes a link between dynamical activity and static magnetization.

Abstract

We employ the concept of a dynamical, activity order parameter to study the Ising model in a transverse magnetic field coupled to a Markovian bath. For a certain range of values of the spin-spin coupling, magnetic field and dissipation rate, we identify a first order dynamical phase transition between active and inactive {\em dynamical phases}. We demonstrate that dynamical phase-coexistence becomes manifest in an intermittent behavior of the bath quanta emission. Moreover, we establish the connection between the dynamical order parameter that quantifies the activity, and the longitudinal magnetization that serves as static order parameter. The system we consider can be implemented in current experiments with Rydberg atoms and trapped ions.