Dynamical scaling of correlations generated by short- and long-range dissipation

TL;DR

This paper investigates how correlations spread in spin systems under different dissipation profiles, revealing novel patterns and extending non-equilibrium spin-wave theory to dissipative contexts.

Contribution

It introduces a generalized non-equilibrium spin-wave theory for dissipative systems and analyzes correlation dynamics in spin chains with various dissipation profiles.

Findings

Correlations exhibit unique widening and contracting patterns influenced by dissipation.

The generalized theory applies to any translationally invariant spin chain with Hamiltonian and dissipative dynamics.

Provides insights into correlation spreading in purely dissipative quantum simulators.

Abstract

We study the spatio-temporal spreading of correlations in an ensemble of spins due to dissipation characterized by short- and long-range spatial profiles. We consider systems initially in an uncorrelated state, and find that correlations widen and contract in a novel pattern intimately related to both the dissipative nature of the dynamical channel and its spatial profile. Additionally, we make a methodological contribution by generalizing non-equilibrium spin-wave theory to the case of dissipative systems and derive equations of motion for any translationally invariant spin chain whose dynamics can be described by a combination of Hamiltonian interactions and dissipative Lindblad channels. Our work aims at extending the study of correlation dynamics to purely dissipative quantum simulators and compare them with the established paradigm of correlations spreading in hamiltonian systems.