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

preprint2020arXivOpen access

Abstract

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

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