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Early time diffusion for the quantum kicked rotor with narrow initial momentum distributions
1Department of Physics, University of Auckland, Private Bag 92019, Auckland, New Zealand. adal025@phy.auckland.ac.nz
Summary
We discovered resonances in momentum diffusion rates for the delta-kicked rotor system. These findings bridge quantum and classical physics and are observable in atom optics experiments.
Area of Science:
- Quantum chaos
- Atom optics
- Statistical physics
Background:
- The delta-kicked rotor model exhibits quantum-classical transition.
- Understanding momentum diffusion is key to studying chaotic dynamics.
Purpose of the Study:
- Investigate early-time momentum diffusion rates in the delta-kicked rotor.
- Explore resonances across the quantum-to-classical transition.
Main Methods:
- Analytical and numerical investigations.
- Analysis of diffusion rates as a function of effective Planck's constant.
- Simulations incorporating experimental imperfections.
Main Results:
- Identified a rich structure of resonances in diffusion rates for narrow initial momentum distributions.
- Confirmed resonance persistence with finite duration kicks and experimental noise (e.g., spontaneous emission).
Conclusions:
- The observed resonances provide a testable prediction for atom optics experiments.
- Findings contribute to understanding quantum chaos and the transition to classical dynamics.