Radio-frequency spectroscopy and the dimensional crossover in interacting

Year: 2024

Authors: Maki J., Dale C.J., Thywissen J.H., Zhang S.Z.

Autors Affiliation: Univ Trento, Pitaevskii BEC Ctr, CNR INO, I-38123 Trento, Italy; Univ Trento, Dipartimento Fis, I-38123 Trento, Italy; Univ Toronto, Dept Phys, Toronto, ON M5S 1A7, Canada; Univ Toronto, CQIQC, Toronto, ON M5S 1A7, Canada; Univ Hong Kong, Dept Phys, Hong Kong, Peoples R China; Univ Hong Kong, Hong Kong Inst Quantum Sci & Technol, Hong Kong, Peoples R China.

Abstract: Low-dimensional ultracold gases are created in the laboratory by confining three-dimensional (3D) gases inside highly anisotropic trapping potentials. Such trap geometries not only provide access to simulating 1D and 2D physics, but also can be used to study how the character of excitations cross over to three dimensions at higher energy. In this work we study the signature in radio-frequency (rf) spectroscopy for both the 1D-to-3D and the 2D-to-3D crossovers, in spin-polarized Fermi gases. We solve the two-body scattering T matrix in the presence of strong harmonic confinement and use it to evaluate both the high-frequency rf transfer rate and the two-body bound-state energies. These general expressions are then compared both to the low-dimensional limit and to the 3D limit. We find that in order to understand the dimensional crossover for spin-polarized Fermi gases with p-wave interactions, one needs to take into account an emergent s-wave interaction.

Journal/Review: PHYSICAL REVIEW A

Volume: 110 (5)      Pages from: 53314-1  to: 53314-15

More Information: The authors would like to thank K. G. S. Xie for useful discussions. This work was supported by HK GRF Grants No. 17313122 and No. 17306024, CRF Grants No. C6009-20G and No. C7012-21G, and a RGC Fellowship Award No. HKU RFS2223-7S03 and by NSERC. J.M. was supported in part by the Provincia di Autonoma di Trento.
KeyWords: Quantum Heat Engines; Fluctuation Theorems; Work; Power
DOI: 10.1103/PhysRevA.110.053314