Longitudinal waves in electrically polarized quantum Fermi gas: quantum hydrodynamics approximation

2012/09/19 by P. A. Andreev, Andreev, P. A.
Physics and Astronomy · #FOS: Physical sciences #Quantum Gases (cond-mat.quant-gas) #Quantum Physics (quant-ph) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.quant-gas #cond-mat.stat-mech #quant-ph

paper · pdf · doi:10.48550/arxiv.1209.4196

6 pages, 3 figures

arxiv created 2012/09/19 · arxiv updated 2012/09/20

Abstract

The method of many-particle quantum hydrodynamics has been recently developed, particularly this method has been used for an electrically polarized Bose-Einstein condensate. In this paper, we present the development of this method for an electrically polarized three dimensional Fermi gas. We derive corresponding dynamical equations: equation polarization and equation of polarization current evolution as well as the Euler and continuity equations. We study dispersion dependencies of collective excitations in a polarized Fermi gas and consider interference of an equilibrium polarization on dispersion properties.

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