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Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

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Published on: May 30, 2014

Oscillation collapse in coupled quantum van der Pol oscillators.

Kenta Ishibashi¹, Rina Kanamoto¹

¹Department of Physics, Meiji University, Kawasaki, Kanagawa 214-8571, Japan.

Physical Review. E

|January 20, 2018

Summary

This summary is machine-generated.

Quantum van der Pol oscillators exhibit oscillation collapse due to couplings. Quantum models show lower phonon numbers than classical ones, with collective collapse observed in many-body simulations.

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Area of Science:

Quantum physics
Nonlinear dynamics
Condensed matter theory

Background:

Classical self-oscillations can collapse due to mutual couplings.
Understanding oscillation collapse in quantum systems is crucial for quantum technologies.

Purpose of the Study:

Investigate oscillation collapse in quantum van der Pol oscillators.
Compare quantum and classical models regarding oscillation collapse.
Analyze the effect of coupling and system size on collective oscillation behavior.

Main Methods:

Theoretical analysis using mean-field theory.
Quantum many-body simulations.
Comparison with classical models incorporating quantum noise approximations.

Main Results:

Quantum van der Pol oscillators show lower steady-state mean phonon numbers than classical counterparts.
A transition from synchronized periodic motion to collective oscillation collapse is observed in globally coupled oscillators.
Increasing the number of oscillators further reduces the steady-state mean phonon number.

Conclusions:

Quantum effects significantly influence oscillation collapse phenomena.
Mean-field theory provides a lower bound for steady-state phonon numbers in many-body quantum oscillator systems.
Collective oscillation collapse is a robust feature in globally coupled quantum van der Pol oscillators.