Tunable zero and first sounds in ultracold Fermi gases with Rabi coupling

Year: 2017

Authors: Lepori L., Salasnich L.

Autors Affiliation: Univ Padua, Dipartimento Fis Astron Galileo Galilei, Via Marzolo 8, I-35131 Padua, Italy; Univ Padua, CNISM, Via Marzolo 8, I-35131 Padua, Italy; Univ Aquila, Dipartimento Sci Fis & CHim, Via Vetoio, I-67010 Coppito, Italy; INFN, Lab Nazl Gran Sasso, Via G Acitelli 22, I-67100 Assergi, AQ, Italy; CNR INO, Via Nello Carrara 1, I-50019 Sesto Fiorentino, Italy.

Abstract: We consider a weakly-interacting fermionic gas of alkali-metal atoms characterized by two hyperfine states which are Rabi coupled. By using a Born approximation for the repulsive interaction we determine the zero-temperature equation of state of this Fermi gas in D spatial dimensions (D = 1, 2, 3). Then, adopting the Landau-Vlasov equation and hydrodynamic equtions, we investigate the speed of first sound and zero sound. We show that the two sounds, which occur respectively in collisional and collisionless regimes, crucially depend on the interplay between interaction strength and Rabi coupling. Finally, we discuss for some experimentally relevant cases the effect of a trapping harmonic potential on the density profles of the fermionic system.

Journal/Review: JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

Volume: 2017      Pages from: 43107-1  to: 43107-16

More Information: The authors thank Roberto Onofrio, Flavio Toigo, and Andrea Trombettoni for useful discussions and acknowledge the University of Padova. LS acknowledges for partial support the 2016 BIRD project ’Superfluid properties of Fermi gases in optical potentials’ of the University of Padova.
KeyWords: cold atoms; quantum gases; quantum quenches
DOI: 10.1088/1742-5468/aa6580

Citations: 1
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