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Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving
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Published on: March 30, 2017

Resonantly interacting fermions in a box.

Michael McNeil Forbes1, Stefano Gandolfi, Alexandros Gezerlis

  • 1Institute for Nuclear Theory, University of Washington, Seattle, Washington 98195-1560, USA.

Physical Review Letters
|July 21, 2011
PubMed
Summary
This summary is machine-generated.

We studied finite-size effects in unitary gases using quantum Monte Carlo and density functional theory. Our findings provide the tightest bound yet on the ground-state energy of the unitary gas.

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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Theoretical physics

Background:

  • Understanding the properties of strongly interacting quantum systems is crucial in physics.
  • Finite-size effects significantly alter the behavior of quantum gases compared to their bulk counterparts.

Purpose of the Study:

  • To investigate the finite-size (shell) properties of the unitary gas in a periodic box.
  • To establish a precise and complete characterization of finite-size behavior.
  • To determine the tightest bound on the ground-state energy of the unitary gas.

Main Methods:

  • Utilizing ab initio quantum Monte Carlo (QMC) calculations for systems with 4 to 130 particles.
  • Developing and applying a new density functional theory (DFT) to model finite-size effects.
  • Extrapolating QMC results to the thermodynamic limit using the new DFT functional.

Main Results:

  • QMC calculations precisely characterized finite-size behavior.
  • The new DFT accurately encapsulates finite-size effects, predicting vanishing shell structure for systems >50 particles.
  • The tightest bound to date on the ground-state energy of the unitary gas was determined: ξ(S)≤0.383(1).

Conclusions:

  • The combined QMC and DFT approach effectively studies unitary gas properties.
  • The new DFT functional offers a powerful tool for analyzing finite-size effects.
  • This work significantly advances our understanding of the unitary gas and its ground-state energy.