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Bistability and chaos-assisted tunneling in dissipative quantum systems
1Siberian Federal University, 660041 Krasnoyarsk, Russia and Kirensky Institute of Physics, 660036 Krasnoyarsk, Russia.
Physical Review. E
|August 17, 2022
Summary
This study explores quantum bistability using a dissipative double resonance model, finding simpler phase structures for high frequencies and novel tunneling phenomena for low frequencies. It provides insights into quantum limit cycles and chaos-assisted tunneling.
Area of Science:
- Quantum physics
- Nonlinear dynamics
- Quantum optics
Background:
- Quantum bistability and multistability are crucial in quantum optics and nonlinear dynamics.
- The driven dissipative nonlinear oscillator is a standard model for studying these phenomena.
- Understanding quantum limit cycles and tunneling is key to advancing quantum technologies.
Purpose of the Study:
- To analyze quantum bi- and multistability in the dissipative double resonance model.
- To compare the system's phase structure with the driven dissipative nonlinear oscillator.
- To investigate phenomena like dissipation- and chaos-assisted tunneling.
Main Methods:
- Utilizing the dissipative double resonance model.
- Analyzing system behavior at large and small driving frequencies.
- Deriving analytical estimates for quantum limit cycle lifetimes.
Main Results:
- A simpler phase structure was observed for large driving frequencies compared to the nonlinear oscillator.
- An analytical estimate for the lifetime of quantum limit cycles was obtained.
- A novel phenomenon of dissipation- and chaos-assisted tunneling was identified for small driving frequencies.
Conclusions:
- The dissipative double resonance model offers a tractable system for studying quantum bistability.
- The model exhibits rich dynamics, including complex tunneling behaviors not seen in simpler models.
- This research opens new avenues for exploring quantum phenomena in driven dissipative systems.
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