Collisionless sound of bosonic superfluids in lower dimensions
Year: 2021
Authors: Salasnich L.; Sattin F.
Autors Affiliation: Dipartimento di Fisica e Astronomia Galileo Galilei, CNISM, Universita di Padova, Via Marzolo 8, Padova, 35131, Italy; Istituto Nazionale di Ottica (INO), Consiglio Nazionale Delle Ricerche (CNR), via Nello Carrara 1, Sesto Fiorentino, 50125, Italy; Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Padova, Via Marzolo 8, Padova, 35131, Italy; Consorzio RFX (CNR ENEA, INFN, Universita di Padova, Acciaierie Venete SpA), Corso Stati Uniti 4, Padova, 35127, Italy
Abstract: The superfluidity of low-temperature bosons is well established in the collisional regime. In the collisionless regime, however, the presence of superfluidity is not yet fully clarified, in particular in lower spatial dimensions. Here, we compare the Vlasov-Landau equation, which does not take into account the superfluid nature of the bosonic system, with the Andreev-Khalatnikov equations, which instead explicitly contain a superfluid velocity. We show that recent experimental data of the sound mode in a two-dimensional collisionless Bose gas of Rb-87 atoms are in good agreement with both theories, but the sound damping is better reproduced by the Andreev-Khalatnikov equations below the Berezinskii-Kosterlitz-Thouless critical temperature T-c, while above T-c the Vlasov-Landau results are closer to the experimental ones. For one-dimensional bosonic fluids, where experimental data are not yet available, we find larger differences between the sound velocities predicted by the two transport theories and, also in this case, the existence of a superfluid velocity reduces the sound damping.
Journal/Review: PHYSICAL REVIEW A
Volume: 103 (4) Pages from: 043324-1 to: 043324-6
KeyWords: HELIUMDOI: 10.1103/PhysRevA.103.043324