First and second sound in two-dimensional bosonic and fermionic superfluids

Abstract

We review our theoretical results about the sound propagation in two-dimensional (2D) systems of ultracold fermionic and bosonic atoms. In the superfluid phase, characterized by the spontaneous symmetry breaking of the $U(1)$ symmetry, there is the coexistence of first and second sound. In the case of weakly-interacting repulsive bosons, we model the recent measurements of the sound velocities of 39K atoms in 2D obtained in the weakly-interacting regime and around the Berezinskii-Kosterlitz-Thouless (BKT) superfluid-to-normal transition temperature. In particular, we perform a quite accurate computation of the superfluid density and show that it is reasonably consistent with the experiment. For superfluid attractive fermions, we calculate the first and second sound velocities across the whole BCS-BEC crossover. In the low-temperature regime we reproduce the recent measurements of first-sound speed with 6Li atoms. We also predict that only in the finite-temperature BEC regime there is mixing between sound modes.

7 pages, 6 figure, review paper based on previously published results for two dimensional repulsive bosons arXiv:2011.11352 and two-dimensional attractive fermions arXiv:2009.06491

References in corpus (7)

• Extension of Bogoliubov theory to quasi-condensates
• Quantum Fluctuations in the Superfluid State of the BCS-BEC Crossover
• Observation of the Berezinskii-Kosterlitz-Thouless Phase Transition in an Ultracold Fermi Gas
• Observation of pair condensation in the quasi-2D BEC-BCS crossover
• Pairing fluctuations and the superfluid density through the BCS-BEC crossover
• Composite bosons in the 2D BCS-BEC crossover from Gaussian fluctuations
• Sound modes in collisional superfluid Bose gases