Nonzero orbital angular momentum superfluidity in ultracold Fermi gases

2006/02/06 by M. Iskin, C. A. R. Sá de Melo
Physics and Astronomy · #Angular momentum #Angular momentum coupling #Atomic and Subatomic Physics Research #Bose–Einstein condensate #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Cooper pair #Fermi gas #Fermion #Feshbach resonance #Pairing #Physics #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Quasiparticle #Scattering #Scattering length #Superconductivity #Superfluidity #Total angular momentum quantum number #cond-mat.other #cond-mat.supr-con

paper · pdf · doi:10.1103/physreva.74.013608

published as Phys. Rev. A 74, 013608 (2006) · 28 pages and 24 figures

arxiv created 2006/02/06 · openalex publication_date 2006/07/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We analyze the evolution of superfluidity for nonzero orbital angular momentum channels from the Bardeen-Cooper-Schrieffer (BCS) to the Bose-Einstein condensation (BEC) limit in three dimensions. First, we analyze the low-energy scattering properties of finite range interactions for all possible angular momentum channels. Second, we discuss ground-state (T=0) superfluid properties including the order parameter, chemical potential, quasiparticle excitation spectrum, momentum distribution, atomic compressibility, ground-state energy, and low-energy collective excitations. We show that a quantum phase transition occurs for nonzero angular momentum pairing, unlike the s-wave case where the BCS to BEC evolution is just a crossover. Third, we present a Gaussian fluctuation theory near the critical temperature (T=T_c), and we analyze the number of bound, scattering, and unbound fermions as well as the chemical potential. Finally, we derive the time-dependent Ginzburg-Landau functional near T_c, and compare the Ginzburg-Landau coherence length with the zero-temperature average Cooper pair size.

Citations

• Prospect of creating a composite Fermi–Bose superfluid
• Observation of resonance condensation of fermionic atom pairs
• Vortices and superfluidity in a strongly interacting Fermi gas
• Emergence of a molecular Bose–Einstein condensate from a Fermi gas
• BCS-BEC crossover at finite temperature in the broken-symmetry phase
• Cooper pairing with finite angular momentum via a central attraction: From the BCS to the Bose limits
• Weakly Bound Dimers of Fermionic Atoms
• Anisotropic Fermi Superfluid viap-Wave Feshbach Resonance
• BCS-BEC Crossover at Finite Temperature for Superfluid Trapped Fermi Atoms
• Probing many-body states of ultracold atoms via noise correlations
• Observation of Bose-Einstein Condensation of Molecules
• Resonance Superfluidity in a Quantum Degenerate Fermi Gas