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Diffusion resonances in action space for an atom optics kicked rotor with decoherence
A J Daley1, A S Parkins, R Leonhardt
1Department of Physics, University of Auckland, Private Bag 92019, Auckland, New Zealand.
Summary
We numerically studied momentum diffusion in the quantum kicked rotor system. An enhanced diffusion peak was observed, shifting with kick strength, and quantum resonances showed distinctive peaks.
Area of Science:
- Quantum chaos
- Ultracold atom physics
- Statistical mechanics
Background:
- The kicked rotor model is a paradigm for studying quantum chaos.
- Understanding the transition from quantum to classical dynamics is crucial.
- Ultracold atoms provide a controllable platform for simulating quantum systems.
Purpose of the Study:
- To numerically investigate momentum diffusion rates in the kicked rotor model.
- To explore the quantum-to-classical transition by increasing system action.
- To analyze the impact of environmental decoherence on diffusion dynamics.
Main Methods:
- Numerical simulations of the pulse kicked rotor model.
- System action was increased to probe macroscopic dynamics.
- Spontaneous emission decoherence was included to model environmental coupling.
Main Results:
- An enhanced diffusion peak was observed in both initial and late time rates.
- This peak's position and magnitude were found to scale with kick strength.
- Distinctive peaks were identified around quantum resonance conditions.
Conclusions:
- The study reveals key features of momentum diffusion across the quantum-classical transition.
- Observed phenomena, including enhanced diffusion and resonance peaks, are linked to system parameters.
- Results are relevant to ongoing experiments with ultracold atoms and decoherence.