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.
arXiv comment13 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 (32)
- Quantum Coherent Atomic Tunneling between Two Trapped Bose-Einstein Condensates
- Observation of the Pairing Gap in a Strongly Interacting Fermi Gas
- BCS-BEC Crossover: From High Temperature Superconductors to Ultracold Superfluids
- Amplitude / Higgs Modes in Condensed Matter Physics
- Quantum Fluctuations in the Superfluid State of the BCS-BEC Crossover
- Collective mode of homogeneous superfluid Fermi gases in the BEC-BCS 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
- Josephson effect in fermionic superfluids across the BEC-BCS crossover
- Ground-state pressure of quasi-2D Fermi and Bose gases
- Equation of State of Ultracold Fermions in the 2D BEC-BCS Crossover Region
- Pairing fluctuations and the superfluid density through the BCS-BEC crossover
- Thermodynamics of an attractive 2D Fermi gas
- Superconductivity in an electron band just above the Fermi level: possible route to BCS-BEC superconductivity
- Quantum fluctuations in the BCS-BEC crossover of two-dimensional Fermi gases
- Extended Thomas-Fermi Density Functional for the Unitary Fermi Gas
- Zero-point energy of ultracold atoms
- 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
- Finite-temperature quantum fluctuations in two-dimensional Fermi superfluids
- Bose Condensate in a Double-Well Trap: Ground State and Elementary Excitations
- Superfluid density and critical velocity near the fermionic Berezinskii-Kosterlitz-Thouless transition
- Superfluidity, Sound Velocity and Quasi Condensation in the 2D BCS-BEC Crossover
- Equation for the superfluid gap obtained by coarse graining the Bogoliubov-de Gennes equations throughout the BCS-BEC crossover
- Composite bosons in the 2D BCS-BEC crossover from Gaussian fluctuations
- Non-Universal Equation of State of the Two-Dimensional Bose Gas
- Comparison of strong-coupling theories for a two-dimensional Fermi gas
- Vortices and antivortices in two-dimensional ultracold Fermi gases
- Derivation of the effective action of a dilute Fermi gas in the unitary limit of the BCS-BEC crossover
- Correcting inconsistencies in the conventional superfluid path integral scheme
- The role of Causality in Tunable Fermi Gas Condensates
- Spontaneous Vortex Production in Driven Condensates with Narrow Feshbach Resonances