Bandyopadhyay Biswabibek, Banerjee Tanmoy
Chaos and Complex Systems Research Laboratory, Department of Physics, University of Burdwan, Burdwan 713 104, West Bengal, India.
Chaos. 2021 Jun;31(6):063109. doi: 10.1063/5.0055091.
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.
在耦合振子中，从振荡被抑制状态恢复振荡是一个重要的研究课题，近年来已得到广泛研究。然而，量子领域的类似情况尚未得到探索。最近的研究表明，在某些耦合条件下，耦合量子振子容易受到振荡抑制，如振幅死亡和振荡死亡。在本文中，我们首次证明，通过控制耦合路径中的一个反馈参数，可以在耦合量子振子中撤销量子振荡抑制状态并建立节律发生。然而，与经典系统形成鲜明对比的是，我们表明在深度量子领域，反馈参数无法恢复振荡，而是导致从量子振幅死亡状态转变为最近发现的量子振荡死亡状态。我们使用开放量子系统的形式主义和量子力学的相空间表示来确立我们的结果。因此，我们的研究表明，为经典系统提出的恢复方案并不总是能在量子系统中恢复振荡，但在深度量子领域，它可能会产生源于纯量子力学的反直觉行为。
