Quantum correlations and limit cycles in the driven-dissipative Heisenberg lattice

TL;DR

This paper investigates how quantum correlations affect the existence of limit cycle phases in a driven-dissipative Heisenberg lattice, challenging mean-field predictions by incorporating short-range correlations.

Contribution

It introduces a cluster mean-field and Mori projector approach to analyze the persistence of limit cycles beyond mean-field approximations in quantum many-body systems.

Findings

Limit cycles are suppressed when short-range quantum correlations are included.

Mean-field predictions of persistent oscillations are not always valid.

Quantum correlations can alter the long-time behavior of driven-dissipative systems.

Abstract

Driven-dissipative quantum many-body systems have attracted increasing interest in recent years as they lead to novel classes of quantum many-body phenomena. In particular, mean-field calculations predict limit cycle phases, slow oscillations instead of stationary states, in the long-time limit for a number of driven-dissipative quantum many-body systems. Using a cluster mean-field and a self-consistent Mori projector approach, we explore the persistence of such limit cycles as short range quantum correlations are taken into account in a driven-dissipative Heisenberg model.