Quantum manifestations of homogeneous and inhomogeneous oscillation suppression states

TL;DR

This paper investigates quantum analogs of oscillation suppression states in coupled quantum oscillators, revealing new phenomena like quantum amplitude death and quantum oscillation death, and exploring their transition mechanisms.

Contribution

It introduces the concept of quantum amplitude death and quantum oscillation death, showing their dependence on coupling and quantum regime, and highlights the quantum Turing bifurcation.

Findings

Identification of squeezed and nonsqueezed quantum amplitude death.

Discovery of quantum oscillation death in the deep quantum regime.

Observation of symmetry-breaking bifurcation in Wigner function.

Abstract

We study the quantum manifestations of homogeneous and inhomogeneous oscillation suppression states in coupled identical quantum oscillators. We consider quantum van der Pol oscillators coupled via weighted mean-field diffusive coupling and using the formalism of open quantum system we show that depending upon the coupling and the density of mean-field, two types of quantum amplitude death occurs, namely squeezed and nonsqueezed quantum amplitude death. Surprisingly, we find that the inhomogeneous oscillation suppression state (or the oscillation death state) does not occur in the quantum oscillators in the classical limit. However, in the deep quantum regime we discover an oscillation death-like state which is manifested in the phase space through the symmetry-breaking bifurcation of Wigner function. Our results also hint towards the possibility of the transition from quantum amplitude death to oscillation death state through the "quantum" Turing-type bifurcation. We believe that the observation of quantum oscillation death state will deepen our knowledge of symmetry-breaking dynamics in the quantum domain.