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Anomalous spatial diffusion and multifractality in optical lattices.

Andreas Dechant1, Eric Lutz

  • 1Department of Physics, University of Augsburg, D-86135 Augsburg, Germany.

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|September 26, 2012
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Summary
This summary is machine-generated.

Researchers studied cold atom transport in optical lattices, finding slow momentum relaxation. They developed a new method to describe this behavior and analyze the resulting spatial distribution

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Area of Science:

  • Atomic physics
  • Quantum mechanics
  • Condensed matter physics

Background:

  • Cold atom transport in optical lattices exhibits slow, nonstationary momentum relaxation.
  • Understanding this relaxation is crucial for controlling atom dynamics.

Purpose of the Study:

  • To develop a theoretical method for describing cold atom transport with non-Markovian dynamics.
  • To analyze the spatial distribution and multifractal properties of cold atoms in optical lattices.

Main Methods:

  • Developed a projector operator method to derive a generalized Smoluchowski equation.
  • Expressed the non-Markovian equation as a systematic expansion with higher-order derivatives.

Main Results:

  • Derived a generalized Smoluchowski equation applicable to slow, nonstationary momentum relaxation.
  • Computed arbitrary moments of the spatial distribution using the derived expansion.
  • Analyzed the multifractal properties of the cold atom spatial distribution.

Conclusions:

  • The developed method accurately describes cold atom transport in shallow optical lattices.
  • The analysis reveals multifractal characteristics in the spatial distribution.
  • This work provides a new framework for studying non-Markovian dynamics in quantum systems.