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.

Tunable zero and first sounds in ultracold Fermi gases with Rabi coupling / Lepori, Luca; Salasnich, Luca. - In: JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT. - ISSN 1742-5468. - 2017:4(2017), p. 043107.043107. [10.1088/1742-5468/aa6580]

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

LEPORI, LUCA;
2017-01-01

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.
2017
Tunable zero and first sounds in ultracold Fermi gases with Rabi coupling / Lepori, Luca; Salasnich, Luca. - In: JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT. - ISSN 1742-5468. - 2017:4(2017), p. 043107.043107. [10.1088/1742-5468/aa6580]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11381/2939514
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