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Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
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Phase-space mixing in dynamically unstable, integrable few-mode quantum systems
1Joint Quantum Institute, University of Maryland and National Institute of Standards and Technology, College Park, Maryland 20742, USA.
Physical Review. A
|June 8, 2018
Summary
Quantum systems quench and relax to steady states via phase-space mixing. This study reveals deviations from classical values scale with 1/ln N, with relaxation as damped oscillations.
Area of Science:
- Quantum physics
- Many-body systems
- Quantum dynamics
Background:
- Isolated quantum systems and quenches are areas of active research.
- Quantum few-mode systems integrable in the classical mean-field limit exhibit dynamic instability post-quench.
Purpose of the Study:
- Investigate the dynamics of quantum few-mode systems after a parameter quench.
- Analyze relaxation to steady states and deviations from classical behavior.
Main Methods:
- Truncated Wigner Approximation (TWA) for time dynamics.
- Action-angle formalism and pendulum analogy for analytical expressions.
- Numerical TWA simulations for validation.
Main Results:
- Systems relax to a steady state through phase-space mixing.
- Deviation from classical values scales as O(1/ln N), where N is the number of atoms.
- Relaxation occurs as Gaussian-damped oscillations with a time scale of O[(ln N)^2].
Conclusions:
- The study provides analytical expressions for time evolution and steady-state limits.
- Quantitative dependencies of steady-state values and damping times on system parameters are determined.
- Results are validated through numerical simulations, confirming the theoretical findings.
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