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Classical chaos with Bose-Einstein condensates in tilted optical lattices
Quentin Thommen1, Jean Claude Garreau, Véronique Zehnlé
1Laboratoire de Physique des Lasers, Atomes et Molécules, Centre d'Etudes et de Recherches Laser et Applications, Université des Sciences et Technologies de Lille, F-59655 Villeneuve d'Ascq CEDEX, France.
Physical Review Letters
|December 20, 2003
Summary
Quantum chaos in ultracold gases closely mimics classical chaos, organized by the Kolmogorov-Arnold-Moser theorem. This challenges the traditional view of quantum systems differing from classical chaotic behavior.
Area of Science:
- Quantum physics
- Atomic, molecular, and optical physics
Background:
- Quantum chaos is defined as the behavior of a quantum system whose classical limit is chaotic.
- Quantum systems typically exhibit different dynamics than their classical counterparts due to the linearity of the Schrödinger equation.
Purpose of the Study:
- To investigate the quantum dynamics of ultracold quantum degenerate gases in tilted optical lattices.
- To determine if these systems display features resembling classical chaos.
Main Methods:
- Studying the quantum dynamics of ultracold quantum degenerate gases.
- Utilizing a tilted optical lattice experimental setup.
- Analyzing the phase space organization of the quantum system.
Main Results:
- The quantum dynamics of the ultracold gas closely resemble classical chaotic behavior.
- The phase space of the system is organized according to the Kolmogorov-Arnold-Moser theorem, a hallmark of classical chaos.
Conclusions:
- Ultracold quantum degenerate gases in tilted optical lattices can exhibit dynamics strongly analogous to classical chaos.
- This finding challenges the conventional understanding of the divergence between quantum and classical chaotic systems.