Coupled oscillator model of a trapped Fermi gas at the BEC-BCS crossover

Fuente: arXiv
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Auteur principal: Andreev, Sergueï V.
Format: Preprint
Publié: 2023
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author Andreev, Sergueï V.
author_facet Andreev, Sergueï V.
contents We address theoretically the puzzling discontinuity of the radial quadrupole mode frequency observed in a trapped Fermi gas across the BEC-BCS crossover. We apply the scaling transformation to a two-channel model of a resonant Fermi superfluid and argue that the frequency downshift in the crossover region is due to Feshbach coupling of the molecular Bose-Einstein condensate (BEC) to the surrounding Fermi sea. The Bose and Fermi components of the gas act as coupled macroscopic oscillators. The frequency jump corresponds to the point where the closed-channel molecules are entirely converted into the Fermi sea. This implies linear scaling of the "critical" detuning between the scattering channels with the Fermi energy, which can be readily verified in an experiment.
format Preprint
id arxiv_https___arxiv_org_abs_2309_14909
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Coupled oscillator model of a trapped Fermi gas at the BEC-BCS crossover
Andreev, Sergueï V.
Quantum Gases
Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
Superconductivity
Nuclear Theory
We address theoretically the puzzling discontinuity of the radial quadrupole mode frequency observed in a trapped Fermi gas across the BEC-BCS crossover. We apply the scaling transformation to a two-channel model of a resonant Fermi superfluid and argue that the frequency downshift in the crossover region is due to Feshbach coupling of the molecular Bose-Einstein condensate (BEC) to the surrounding Fermi sea. The Bose and Fermi components of the gas act as coupled macroscopic oscillators. The frequency jump corresponds to the point where the closed-channel molecules are entirely converted into the Fermi sea. This implies linear scaling of the "critical" detuning between the scattering channels with the Fermi energy, which can be readily verified in an experiment.
title Coupled oscillator model of a trapped Fermi gas at the BEC-BCS crossover
topic Quantum Gases
Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
Superconductivity
Nuclear Theory
url https://arxiv.org/abs/2309.14909