Bistability and chaos-assisted tunneling in the dissipative quantum systems

TL;DR

This paper investigates quantum bistability and chaos-assisted tunneling in dissipative systems, providing analytical estimates for quantum limit cycle lifetimes and exploring the influence of chaos on tunneling phenomena.

Contribution

It introduces a simplified phase structure analysis for the dissipative Double Resonance Model and reveals chaos-assisted tunneling between quantum limit cycles.

Findings

Analytical estimate for quantum limit cycle lifetime

Identification of chaos-assisted tunneling phenomena

Comparison with driven nonlinear oscillator behavior

Abstract

We revisit the problem of quantum bi- and multi-stability by considering the dissipative Double Resonance Model. For a large driving frequency, this system has a simpler phase structure than the driven dissipative nonlinear oscillator -- the paradigm model for classical and quantum bistability. This allows us to obtain an analytical estimate for the lifetime of quantum limit cycles. On the other hand, for a small driving frequency, the system is much reacher than the nonlinear oscillator. This allows us to address a novel phenomenon of dissipation- and chaos-assisted tunneling between quantum limits cycles.