Breathing mode frequency of a strongly interacting Fermi gas across the 2D-3D dimensional crossover

Abstract

We address the interplay between dimension and quantum anomaly on the breathing mode frequency of a strongly interacting Fermi gas harmonically trapped at zero temperature. Using a beyond mean-field, Gaussian pair fluctuation theory, we employ periodic boundary conditions to simulate the dimensionality of the system and impose a local density approximation, with two different schemes, to model different trapping potentials in the tightly-confined axial direction. By using a sum-rule approach, we compute the breathing mode frequency associated with a small variation of the trapping frequency along the weakly-confined transverse direction, and describe its behavior as functions of the dimensionality, from two- to three-dimensions, and of the interaction strength. We compare our predictions with previous calculations on the two-dimensional breathing mode anomaly and discuss their possible observation in ultracold Fermi gases of ${}^6$Li and ${}^{40}$K atoms.

arXiv comment10 pages, 4 figures

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Cited by in corpus (9)

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• Quantum Dynamics of Cold Atomic Gas with $SU(1,1)$ Symmetry
• Pseudogap regime of a strongly interacting two-dimensional Fermi gas with and without confinement-induced effect range of interactions
• P-wave contacts of quantum gases in quasi-one-dimensional and quasi-two-dimensional traps
• Dimensional crossover in ultracold Fermi gases from Functional Renormalisation
• Dimensionality-induced BCS-BEC crossover in layered superconductors
• Thermodynamic contacts and breathing mode physics of 1D p-wave Fermi gases in the high temperature limit
• Spatial and Temporal Periodic Density Patterns in Driven Bose-Einstein Condensates