Bistability in the dissipative quantum systems I: Damped and driven\n nonlinear oscillator

2020/02/26 by Andrey R. Kolovsky, Kolovsky, Andrey R.
Computer Science · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Mechanical and Optical Resonators #Nonlinear Dynamics and Pattern Formation #Nonlinear Photonic Systems #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Quantum optics and atomic interactions

paper · pdf · doi:10.48550/arxiv.2002.11373

openalex publication_date 2020/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We revisit quantum dynamics of the damped and driven nonlinear oscillator. In\nthe classical case this system has two stationary solutions (the limit cycles)\nin the certain parameter region, which is the origin of the celebrated\nbistability phenomenon. The quantum-classical correspondence for the oscillator\ndynamics is discussed in details.\n

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