Abstract
We examine the breathing mode of a strongly interacting two-dimensional Fermi gas and the role of temperature on the anomalous breaking of scale invariance. By calculating the equation of state with different many-body T-matrix theories and the virial expansion, we obtain a hydrodynamic equation of the harmonically trapped Fermi gas (with trapping frequency ω0) through the local density approximation. By solving the hydrodynamic equations, we determine the breathing mode frequencies as a function of interaction strength and temperature. We find that the breathing mode anomaly depends sensitively on both interaction strength and temperature. In particular, in the strongly interacting regime, we predict a significant downshift of the breathing mode frequency, below the scale invariant value of 2ω0, for temperatures of the order of the Fermi temperature.
Original language | English |
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Article number | 053612 |
Number of pages | 9 |
Journal | Physical Review A |
Volume | 97 |
Issue number | 5 |
DOIs | |
Publication status | Published - 17 May 2018 |
Externally published | Yes |