Bistability and chaos-assisted tunneling in the dissipative quantum systems

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.

6 pages, 7 figures

References in corpus (3)

• Regular-to-Chaotic Tunneling Rates: From the Quantum to the Semiclassical Regime
• Regular-to-chaotic tunneling rates using a fictitious integrable system
• The open Bose-Hubbard chain: Pseudoclassical approach