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Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving
11:21

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Published on: March 30, 2017

Tunable fermi acceleration in the driven elliptical billiard.

F Lenz1, F K Diakonos, P Schmelcher

  • 1Physikalisches Institut, Universität Heidelberg, Philosophenweg 12, 69120 Heidelberg, Germany. lenz@physi.uni-heidelberg.de

Physical Review Letters
|February 1, 2008
PubMed
Summary

We show that particles in a harmonically driven elliptical billiard can exhibit Fermi acceleration, challenging previous assumptions. This acceleration is controllable by adjusting boundary parameters.

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Area of Science:

  • Physics
  • Dynamical Systems
  • Statistical Mechanics

Background:

  • Billiard systems are classical models for studying particle dynamics.
  • Integrable systems typically do not exhibit particle acceleration.
  • Fermi acceleration is a mechanism for particle energy gain.

Purpose of the Study:

  • To investigate particle acceleration in a harmonically driven elliptical billiard.
  • To challenge the assumption that smoothly driven integrable billiards lack acceleration dynamics.
  • To identify and analyze the mechanism behind Fermi acceleration in this system.

Main Methods:

  • Simulating the dynamical evolution of noninteracting particles in an elliptical billiard.
  • Analyzing particle trajectories and energy changes.
  • Studying the correlation between angular momentum and velocity.
  • Investigating the diffusion process in velocity space.

Main Results:

  • Demonstrated the existence of Fermi acceleration in a harmonically driven elliptical billiard.
  • Identified intermittent laminar and stochastic behavior as the underlying mechanism.
  • Characterized anomalous diffusion in velocity space.
  • Found that the acceleration exponent depends monotonically on boundary breathing amplitude.

Conclusions:

  • Fermi acceleration can occur in smoothly driven integrable billiards.
  • The acceleration process is controllable by tuning the billiard's boundary parameters.
  • This system offers a tunable platform for studying anomalous diffusion and acceleration phenomena.