Restoration of oscillations 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 oscillations, and rather results in a transition from a quantum amplitude death state to the recently discovered quantum oscillation death state. We use the formalism of an open quantum system and a phase space representation of quantum mechanics to establish our results. Therefore, our study establishes that the revival scheme proposed for classical systems does not always result in restoration of oscillations in quantum systems, but in the deep quantum regime, it may give counterintuitive behaviors that are of a pure quantum mechanical origin.
Skip Nav Destination
Article navigation
June 2021
Research Article|
June 07 2021
Revival of oscillation and symmetry breaking in coupled quantum oscillators
Biswabibek Bandyopadhyay;
Biswabibek Bandyopadhyay
Chaos and Complex Systems Research Laboratory, Department of Physics, University of Burdwan
, Burdwan 713 104, West Bengal, India
Search for other works by this author on:
Tanmoy Banerjee
Tanmoy Banerjee
a)
Chaos and Complex Systems Research Laboratory, Department of Physics, University of Burdwan
, Burdwan 713 104, West Bengal, India
a)Author to whom correspondence should be addressed: [email protected]
Search for other works by this author on:
a)Author to whom correspondence should be addressed: [email protected]
Note: This paper is part of the Focus Issue, In Memory of Vadim S. Anishchenko: Statistical Physics and Nonlinear Dynamics of Complex Systems.
Chaos 31, 063109 (2021)
Article history
Received:
April 25 2021
Accepted:
May 25 2021
Citation
Biswabibek Bandyopadhyay, Tanmoy Banerjee; Revival of oscillation and symmetry breaking in coupled quantum oscillators. Chaos 1 June 2021; 31 (6): 063109. https://doi.org/10.1063/5.0055091
Download citation file:
Pay-Per-View Access
$40.00
Sign In
You could not be signed in. Please check your credentials and make sure you have an active account and try again.
Citing articles via
Response to music on the nonlinear dynamics of human fetal heart rate fluctuations: A recurrence plot analysis
José Javier Reyes-Lagos, Hugo Mendieta-Zerón, et al.
Reliable detection of directional couplings using cross-vector measures
Martin Brešar, Ralph G. Andrzejak, et al.
Synchronization in spiking neural networks with short and long connections and time delays
Lionel Kusch, Martin Breyton, et al.
Related Content
Conjugate feedback induced suppression and generation of oscillations in the Chua circuit: Experiments and simulations
Chaos (February 2013)
Experimental demonstration of revival of oscillations from death in coupled nonlinear oscillators
Chaos (April 2016)
Revival of oscillations from deaths in diffusively coupled nonlinear systems: Theory and experiment
Chaos (June 2017)