Goldstone and Higgs Hydrodynamics in the BCS-BEC Crossover
arXiv:1706.05555 · doi:10.3390/condmat2020022
Abstract
We discuss the derivation of a low-energy effective field theory of phase (Goldstone) and amplitude (Higgs) modes of the pairing field from a microscopic theory of attractive fermions. The coupled equations for Goldstone and Higgs fields are critically analyzed in the Bardeen-Cooper-Schrieffer (BCS) to Bose-Einstein condensate (BEC) crossover both in three spatial dimensions and in two spatial dimensions. The crucial role of pair fluctuations is investigated, and the beyond-mean-field Gaussian theory of the BCS-BEC crossover is compared with available experimental data of the two-dimensional ultracold Fermi superfluid.
13 pages, 3 figures, to be published in the Special Issue "Control and Enhancement of Quantum Coherence in Nanostructured Materials" (Eds. A. Perali and A. Ricci) of the open-access journal Condensed Matter
References in corpus (10)
- Observation of the Pairing Gap in a Strongly Interacting Fermi Gas
- Amplitude / Higgs Modes in Condensed Matter Physics
- Quantum Fluctuations in the Superfluid State of the BCS-BEC Crossover
- Equation of state of a superfluid Fermi gas in the BCS-BEC crossover
- Observation of the Berezinskii-Kosterlitz-Thouless Phase Transition in an Ultracold Fermi Gas
- Pairing fluctuations and the superfluid density through the BCS-BEC crossover
- Macroscopic Periodic Tunneling of Fermi Atoms in the BCS-BEC Crossover
- Effective Nonlinear Schrödinger Equations for Cigar-Shaped and Disk-Shaped Fermi Superfluids at Unitarity
- Composite bosons in the 2D BCS-BEC crossover from Gaussian fluctuations
- Non-Universal Equation of State of the Two-Dimensional Bose Gas