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Chaos-assisted tunneling with cold atoms
A Mouchet1, C Miniatura, R Kaiser
1Laboratoire de Mathématiques et de Physique Théorique (CNRS UPRES-A 6083), Avenue Monge, Parc de Grandmont, 37200 Tours, France. mouchet@celfi.phys.univ-tours.fr
Summary
Quantum chaos theory predicts large fluctuations in tunneling probabilities. This study provides guidelines for observing chaos-assisted tunneling in cold atoms trapped in modulated laser potentials.
Area of Science:
- Quantum physics
- Quantum chaos
- Atomic physics
Background:
- Classical irregular dynamics can lead to significant fluctuations in quantum tunneling probabilities.
- Quantum chaos explores the relationship between classical chaos and quantum mechanics.
Purpose of the Study:
- To provide guidelines for observing chaos-assisted tunneling.
- To investigate quantum evolution of cold atoms in time-dependent potentials.
Main Methods:
- Nondissipative quantum evolution of cold atoms.
- Atoms trapped in a time-dependent modulated periodic potential generated by laser beams.
- Analysis of tunneling transition probabilities.
Main Results:
- Predicted large fluctuations in tunneling transition probabilities due to classical irregular dynamics.
- Identified conditions for observing chaos-assisted tunneling.
Conclusions:
- Chaos-assisted tunneling can be observed in specific experimental setups.
- Time-reversal symmetry plays a role in tunneling between phase space structures.