Revival of oscillation and symmetry breaking in coupled quantum oscillators

TL;DR

This paper explores how oscillation revival and symmetry breaking occur in coupled quantum oscillators, revealing that quantum feedback control can revive oscillations in some regimes but leads to quantum death states in others.

Contribution

It demonstrates for the first time that quantum oscillation suppression can be reversed via feedback control, highlighting differences from classical systems and revealing quantum-specific behaviors.

Findings

Feedback parameter can revive oscillations in quantum systems.

In deep quantum regimes, feedback causes transition to quantum oscillation death.

Quantum revival schemes differ fundamentally from classical counterparts.

Abstract

Restoration of oscillation from an oscillation suppressed state in coupled oscillators is an important topic of research and has been studied widely in recent years. However, the same in the quantum regime has not been explored yet. Recent works established that under certain coupling conditions coupled quantum oscillators are susceptible to suppression of oscillations, such as amplitude death and oscillation death. In this paper, for the first time we demonstrate that quantum oscillation suppression states can be revoked and rhythmogenesis can be established in coupled quantum oscillators by controlling a feedback parameter in the coupling path. However, in sharp contrast to the classical system, we show that in the deep quantum regime the feedback parameter fails to revive oscillation, rather results in a transition from quantum amplitude death state to the recently discovered quantum oscillation death state. We use the formalism of open quantum system and phase space representation of quantum mechanics to establish our results. Therefore, our study establishes that revival scheme proposed for classical systems does not always result in restoration of oscillation in quantum systems but in the deep quantum regime it may give counterintuitive behaviors that are of pure quantum mechanical origin.