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Arnold diffusion in a driven optical lattice.

Yingyue Boretz1, L E Reichl1

  • 1Center for Complex Quantum Systems and Department of Physics, The University of Texas at Austin, Austin, Texas 78712, USA.

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Summary
This summary is machine-generated.

Time-periodic forces can destabilize matter, causing energy fluctuations. Researchers studied rubidium atoms in optical lattices, finding significant energy changes and entanglement with parallel laser polarizations.

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Area of Science:

  • Atomic physics
  • Quantum dynamics
  • Nonlinear dynamics

Background:

  • Time-periodic forces, especially from lasers, significantly impact matter.
  • Dynamical systems with 2.5+ degrees of freedom are inherently unstable.
  • Such instabilities can lead to large energy excursions in driven systems.

Purpose of the Study:

  • To analyze the classical and quantum dynamics of rubidium atoms in a time-periodic optical lattice.
  • To investigate the influence of laser polarization on system dynamics.
  • To explore the formation of Arnold webs and their effect on atomic behavior.

Main Methods:

  • Utilized a 2.5 degrees of freedom time-periodic optical lattice model.
  • Examined rubidium atom dynamics under varying laser polarization conditions (orthogonal, parallel, and turned away).
  • Analyzed both classical and quantum mechanical aspects of the system.

Main Results:

  • Orthogonal laser polarizations result in two uncoupled 1.5 degrees of freedom systems.
  • Deviating from orthogonal polarizations leads to Arnold web formation and altered dynamics.
  • Parallel polarizations induce substantial random energy excursions and significant energy entanglement in quantum dynamics.

Conclusions:

  • Laser polarization critically controls the dynamics of rubidium atoms in time-periodic optical lattices.
  • Arnold web formation signifies a fundamental shift in system behavior.
  • The study highlights potential for controlling and observing complex quantum phenomena through tailored optical potentials.