Two-time Correlations Probing the Dynamics of Dissipative Many-Body Quantum Systems: Aging and Fast Relaxation

TL;DR

This paper investigates the dynamics of dissipative many-body quantum systems using two-time correlations, revealing distinct decay behaviors and aging phenomena, especially in bosonic double-well systems under phase noise.

Contribution

It extends the adiabatic elimination method to analyze two-time correlations, uncovering different dynamical regimes and aging effects in dissipative quantum systems.

Findings

Single-particle correlations decay exponentially.

Density-density correlations exhibit slow aging dynamics.

Dissipatively engineered states show different correlation evolution than Hamiltonian systems.

Abstract

Two-time correlations are a crucial tool to probe the dynamics of many-body systems. We use these correlation functions to study the dynamics of dissipative quantum systems. Extending the adiabatic elimination method, we show that the correlations can display two distinct behaviors, depending on the observable of interest: a fast exponential decay, with a timescale of the order of the dissipative coupling, or a much slower dynamics. We apply this formalism to bosons in a double well subjected to phase noise. While the single-particle correlations decay exponentially, the density-density correlations display slow aging dynamics. We also show that the two-time correlations of dissipatively engineered quantum states can evolve in a drastically different manner compared to their Hamiltonian counterparts.