Anomalous breaking of scale invariance in a two-dimensional Fermi gas

Abstract

The frequency of the breathing mode of a classical two dimensional Fermi gas in a harmonic confinement is fixed by the scale invariance of the Hamiltonian. Scale invariance is broken on the quantum mechanical level by introducing the two dimensional scattering length as a regulator. This is an example of a quantum anomaly in the field of ultracold atoms and leads to a shift of the frequency of the collective breathing mode of the cloud. In this work, we study this anomalous frequency shift for a two component Fermi gas in the strongly interacting regime. We measure significant shifts away from the scale invariant result that depend strongly on both interactions and temperature. We find qualitative agreement with theoretical calculations at zero temperature.

arXiv comment10 pages, 12 figures

References in corpus (28)

• Observation of scale invariance and universality in two-dimensional Bose gases
• Breathing Modes and Hidden Symmetry of Trapped Atoms in 2D
• Precise characterization of ^6Li Feshbach resonances using trap-sideband resolved RF spectroscopy of weakly bound molecules
• The unitary gas in an isotropic harmonic trap: symmetry properties and applications
• The transverse breathing mode of an elongated Bose-Einstein condensate
• Observation of pair condensation in the quasi-2D BEC-BCS crossover
• BCS-BEC crossover in a two-dimensional Fermi gas
• Scale invariance and viscosity of a two-dimensional Fermi gas
• Anomalies in Quantum Mechanics: the 1/r^2 Potential
• Quantum Anomaly in Molecular Physics
• Equation of State of Ultracold Fermions in the 2D BEC-BCS Crossover Region
• An Example of Quantum Anomaly in the Physics of Ultra-Cold Gases
• Quantum anomaly, universal relations, and breathing mode of a two-dimensional Fermi gas
• Strongly interacting two-dimensional Fermi gases
• Apparent low-energy scale invariance in two-dimensional Fermi gases
• Quantum anomaly and 2D-3D crossover in strongly interacting Fermi gases
• High temperature pairing in a strongly interacting two-dimensional Fermi gas
• Scale breaking and fluid dynamics in a dilute two-dimensional Fermi gas
• Accidental suppression of Landau damping of the transverse breathing mode in elongated Bose-Einstein condensates
• Breathing mode of two-dimensional atomic Fermi gases in harmonic traps
• Electron Capture and Scaling Anomaly in Polar Molecules
• Collective oscillations of a trapped quantum gas in low dimensions
• Imaging the collective excitations of an ultracold gas using statistical correlations
• Collective modes of a two-dimensional spin-1/2 Fermi gas in a harmonic trap
• Breakdown of scale invariance in a quasi-two-dimensional Bose gas due to the presence of the third dimension
• Virial expansion for the Tan contact and Beth-Uhlenbeck formula from 2D SO(2,1) anomalies
• Collective modes of a two-dimensional Fermi gas at finite temperature
• Breathing mode frequency of a strongly interacting Fermi gas across the 2D-3D dimensional crossover

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• Precision Many-Body Study of the Berezinskii-Kosterlitz-Thouless Transition and Temperature-Dependent Properties in the Two-Dimensional Fermi Gas
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• Few-body perspective of a quantum anomaly in two-dimensional Fermi gases
• Effective theory for ultracold strongly interacting fermionic atoms in two dimensions
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