2005/12/31 by T. Koponen, J. -P. Martikainen, J.-P. Martikainen +4
Physics and Astronomy · #Acoustics #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Condensed matter physics #Crossover #Fermi Gamma-ray Space Telescope #Fermi gas #Lattice (music) #Optical lattice #Physics #Quantum mechanics #Quantum, superfluid, helium dynamics #Superfluidity #cond-mat.supr-con
paper · pdf · doi:10.1103/physreva.73.033620
published as Phys. Rev. A 73, 033620 (2006) · 16 pages, 9 figures, replaced with the published version
openalex publication_date 2006/03/24 · arxiv created 2006/03/27 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.