Breathing Oscillations and Quasi-Low-Dimensional Structures of Weakly-Interacting Degenerate Fermi Gases in Highly-Anisotropic Traps

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概要

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• We theoretically investigate breathing oscillations of weakly-interacting degenerate Fermi gases in highly-anisotropic harmonic oscillator traps. If the traps are not highly anisotropic, the fermions behave as three-dimensional (3D) gases and exhibit the coupled breathing oscillations as studied in a previous paper [Phys. Rev. A 75 (2007) 033611]; Otherwise the fermions exhibit quasi-low-dimensional (QLD) properties derived from specific structures in their single-particle spectrum, called QLD structures. In the present paper, we focus on effects of the QLD structures on the breathing oscillations of the two-component fermions with symmetric population densities. Here we develop the semi-classical Thomas--Fermi approximation extended to the highly-anisotropic systems and obtain the collective frequencies in the sum-rule-scaling method and perturbation theory. As a result, we reveal that the effects of the QLD structures can not be seen in the transverse modes in the first-order perturbation and appear only in the longitudinal modes with hierarchies reflecting the QLD structures. We also demonstrate time-evolution of the oscillations in the present framework.

• 2012-04-15

著者

• Maruyama Tomoyuki

  College Of Bioresouce Sciences Nihon University

• Maruyama Tomoyuki

  College of Bioresource Sciences, Nihon University, Fujisawa, Kanagawa 252-8510, Japan

• NISHIMURA Takushi

  Division of Advanced Sciences, Ochadai Academic Production, Ochanomizu University, Bunkyo, Tokyo 112-8610, Japan

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