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Chaotic atomic tunneling between two periodically driven Bose-Einstein condensates.

Qiongtao Xie1, Wenhua Hai, Guishu Chong

  • 1Department of Physics, Hunan Normal University, ChangSha 410081, People's Republic of China.

Chaos (Woodbury, N.Y.)
|August 30, 2003
PubMed
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We studied chaotic atomic tunneling in Bose-Einstein condensates. Adjusting initial conditions can control this quantum tunneling, making it predictable and periodic.

Area of Science:

  • Quantum physics
  • Atomic physics
  • Condensed matter physics

Background:

  • Bose-Einstein condensates (BECs) exhibit quantum phenomena.
  • Coupled BECs allow for studying tunneling dynamics.
  • Periodically driven systems can display complex behavior.

Purpose of the Study:

  • Investigate chaotic coherent atomic tunneling in coupled BECs.
  • Analyze the conditions for chaos onset.
  • Develop methods for controlling quantum tunneling.

Main Methods:

  • Analytical construction of perturbed homoclinic orbits.
  • Application of the Melnikov criterion for chaos detection.
  • Numerical simulations of atomic tunneling dynamics.

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Main Results:

  • Chaotic coherent atomic tunneling is deterministic but unpredictable.
  • Analytical predictions align with numerical findings.
  • Numerical instability was observed and addressed.

Conclusions:

  • Chaos in atomic tunneling is analytically and numerically confirmed.
  • Initial condition adjustment offers control over tunneling behavior.
  • Predictable, periodic quantum oscillations can be achieved.