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Route to chaos in optomechanics
L Bakemeier1, A Alvermann1, H Fehske1
1Institut für Physik, Ernst-Moritz-Arndt-Universität, 17487 Greifswald, Germany.
Physical Review Letters
|January 24, 2015
Summary
We demonstrate chaotic motion in optomechanical systems, observable via specific optical signatures. Quantum mechanics prevents this chaos, revealing the transition from classical to quantum behavior.
Area of Science:
- Optomechanics
- Nonlinear Dynamics
- Quantum Optics
Background:
- Optomechanical systems exhibit complex dynamics.
- Understanding the transition to chaos is crucial for controlling these systems.
Purpose of the Study:
- To establish the emergence of chaotic motion in optomechanical systems.
- To investigate the role of quantum mechanics in suppressing chaos.
- To identify observable signatures of chaos and the quantum-classical crossover.
Main Methods:
- Analysis of semiclassical and quantum dynamics.
- Identification of period-doubling bifurcations leading to chaos.
- Examination of optical spectrum signatures.
Main Results:
- Chaotic motion emerges at negative detuning for experimentally accessible parameters.
- A sequence of period-doubling bifurcations leads to chaos.
- Quantum mechanics suppresses classical chaos, leading to periodic orbits.
- Observable signatures in the optical spectrum indicate the quantum-classical crossover.
Conclusions:
- Chaotic dynamics are possible in optomechanical systems under specific conditions.
- Quantum effects play a protective role against chaos.
- Observing dynamical signatures allows for the study of the quantum-classical transition.
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