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Title: Sound velocity and dimensional crossover in a superfluid Fermi gas in an optical lattice

Abstract

We study the sound velocity in cubic and noncubic three-dimensional optical lattices. We show how the van Hove singularity of the free Fermi gas is smoothed by interactions and eventually vanishes when interactions are strong enough. For noncubic lattices, we show that the speed of sound (Bogoliubov-Anderson phonon) shows clear signatures of dimensional crossover both in the one- and two-dimensional limits.

Authors:
; ;  [1];  [1]
  1. Nanoscience Center, Department of Physics, P.O. Box 35, FI-40014, University of Jyvaeskylae (Finland)
Publication Date:
OSTI Identifier:
20786978
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 73; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevA.73.033620; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; FERMI GAS; FERMIONS; PHONONS; SINGULARITY; SOUND WAVES; SUPERFLUIDITY; THREE-DIMENSIONAL CALCULATIONS; TWO-DIMENSIONAL CALCULATIONS; VELOCITY

Citation Formats

Koponen, T, Kinnunen, J, Toermae, P, Martikainen, J -P, and Department of Physical Sciences, P.O. Box 64, FI-00014 University of Helsinki. Sound velocity and dimensional crossover in a superfluid Fermi gas in an optical lattice. United States: N. p., 2006. Web. doi:10.1103/PHYSREVA.73.0.
Koponen, T, Kinnunen, J, Toermae, P, Martikainen, J -P, & Department of Physical Sciences, P.O. Box 64, FI-00014 University of Helsinki. Sound velocity and dimensional crossover in a superfluid Fermi gas in an optical lattice. United States. https://doi.org/10.1103/PHYSREVA.73.0
Koponen, T, Kinnunen, J, Toermae, P, Martikainen, J -P, and Department of Physical Sciences, P.O. Box 64, FI-00014 University of Helsinki. 2006. "Sound velocity and dimensional crossover in a superfluid Fermi gas in an optical lattice". United States. https://doi.org/10.1103/PHYSREVA.73.0.
@article{osti_20786978,
title = {Sound velocity and dimensional crossover in a superfluid Fermi gas in an optical lattice},
author = {Koponen, T and Kinnunen, J and Toermae, P and Martikainen, J -P and Department of Physical Sciences, P.O. Box 64, FI-00014 University of Helsinki},
abstractNote = {We study the sound velocity in cubic and noncubic three-dimensional optical lattices. We show how the van Hove singularity of the free Fermi gas is smoothed by interactions and eventually vanishes when interactions are strong enough. For noncubic lattices, we show that the speed of sound (Bogoliubov-Anderson phonon) shows clear signatures of dimensional crossover both in the one- and two-dimensional limits.},
doi = {10.1103/PHYSREVA.73.0},
url = {https://www.osti.gov/biblio/20786978}, journal = {Physical Review. A},
issn = {1050-2947},
number = 3,
volume = 73,
place = {United States},
year = {Wed Mar 15 00:00:00 EST 2006},
month = {Wed Mar 15 00:00:00 EST 2006}
}