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Breathing mode frequencies of a rotating Fermi gas in the BCS-BEC crossover region

2008/05/31 by Theja N. De Silva
Physics and Astronomy · #Advanced Frequency and Time Standards #Anharmonicity #Atomic and Subatomic Physics Research #Atomic physics #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Crossover #Electron #Excitation #Fermi Gamma-ray Space Telescope #Fermi gas #Merge (version control) #Physics #Quantum mechanics #cond-mat.other

paper · pdf · doi:10.1103/physreva.78.023623

published as Phys. Rev. A 78, 023623 (2008) · 6 pages, 8 fiqures. Formalism is modified to include the effect of negative quartic potential

arxiv created 2008/07/22 · openalex publication_date 2008/08/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the breathing mode frequencies of a rotating Fermi gas trapped in a harmonic plus radial quartic potential. We find that as the radial anharmonicity increases, the lowest order radial mode frequency increases while the next lowest order radial mode frequency decreases. Then at a critical anharmonicity, these two modes merge and beyond this merge the cloud is unstable against the oscillations. The critical anharmonicity depends on both rotational frequency and the chemical potential. As a result of the large chemical potential in the BCS regime, even with a weak anharmonicity the lowest order mode frequency increases with decreasing the attractive interaction. For large enough anharmonicities in the weak-coupling BCS limit, we find that the excitation of the breathing mode frequencies make the atomic cloud unstable.

Citations