Bistability and chaos-assisted tunneling in the dissipative quantum systems

• URL: http://arxiv.org/abs/2204.06942v1
• Date: Thu, 14 Apr 2022 13:15:36 GMT
• Title: Bistability and chaos-assisted tunneling in the dissipative quantum systems
• Authors: Andrey R. Kolovsky
• Abstract summary: We revisit the problem of quantum bi- and multi-stability by considering the dissipative Double Resonance Model. This allows us to address a novel phenomenon of dissipation- and chaos-assisted tunneling between quantum limits cycles.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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