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First- and second-sound-like modes at finite temperature in trapped Fermi gases from BCS to BEC

2007/04/30 by Yan He, Qijin Chen, Chih-Chun Chien +1
Physics and Astronomy · #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #Condensation #Condensed matter physics #Crossover #Fermi Gamma-ray Space Telescope #Mode (computer interface) #Physics #Quantum mechanics #Quantum, superfluid, helium dynamics #Thermodynamics #Unitarity #cond-mat.quant-gas #cond-mat.str-el #cond-mat.supr-con

paper · pdf · doi:10.1103/physreva.76.051602

published as Phys. Rev. A 76, 051602(R) (2007) · 4 pages, 3 figures, replaced with revised version

arxiv created 2007/07/16 · openalex publication_date 2007/11/08 · arxiv updated 2011/09/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We determine the temperature (T) dependence of first- and second-sound-like mode frequencies for trapped Fermi gases undergoing the BCS to Bose--Einstein condensation (BEC) crossover. Our results are based on numerical solution of the two-fluid equations in conjunction with a microscopic calculation of thermodynamical variables. As in experiment and at unitarity, we show that the lowest radial breathing mode is T independent. At finite T, higher-order breathing modes strongly mix with second sound. Their complex T dependence should provide an alternative way of measuring the transition temperature Tc.

Citations