6533b7d7fe1ef96bd12686fa

RESEARCH PRODUCT

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

Päivi TörmäJani-petri MartikainenJani-petri MartikainenT. K. KoponenJami J. Kinnunen

subject

PhysicsCondensed Matter::Quantum GasesOptical latticeCondensed matter physicsPhononCondensed Matter - SuperconductivityCrossoverVan Hove singularityFOS: Physical sciences01 natural sciencesAtomic and Molecular Physics and Optics010305 fluids & plasmasSuperconductivity (cond-mat.supr-con)SuperfluiditySingularitySpeed of soundQuantum mechanicsCondensed Matter::Superconductivity0103 physical sciencesCondensed Matter::Strongly Correlated Electrons010306 general physicsFermi gas

description

We study the sound velocity in cubic and non-cubic three-dimensional optical lattices. We show how the van Hove singularity of the free Fermi gas is smoothened by interactions and eventually vanishes when interactions are strong enough. For non-cubic lattices, we show that the speed of sound (Bogoliubov-Anderson phonon) shows clear signatures of dimensional crossover both in the 1D and 2D limits.

10.1103/physreva.73.033620http://arxiv.org/abs/cond-mat/0512010