Nonzero orbital angular momentum superfluidity in ultracold Fermi gases

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 ($T=T_{\mathrm{c}}$), 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 $T_{\mathrm{c}}$, and compare the Ginzburg-Landau coherence length with the zero temperature average Cooper pair size.

28 pages and 24 figures

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Cited by in corpus (20)

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• p-Wave superfluid and phase separation in atomic Bose-Fermi mixture
• The evolution from BCS to BEC superfluidity in the presence of disorder
• Quantum phases of Fermi-Fermi mixtures in optical lattices
• Trapped p-wave superfluids: a local density approach
• BCS-BEC quantum phase transition and collective excitations in two-dimensional Fermi gases with p- and d-wave pairings
• A Novel Route to Reach a $p$-wave Superfluid Fermi Gas
• P-wave Pairing in Two-Component Fermi Systems with Unequal Population near Feshbach Resonance
• Isothermal sweep theorems for ultra-cold quantum gases in a canonical ensemble
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• Pairing in Asymmetrical Fermi Systems with Intra- and Inter-Species Correlations
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• Supersolid Phase in the Diluted Holstein Model
• Matter-wave interference in s-wave and p-wave Fermi condensates
• BCS and BEC p-wave pairing in Bose-Fermi gases
• Pairing properties of an odd-frequency superfluid Fermi gas
• Topological phase transitions on a triangular optical lattice with non-Abelian gauge fields
• Leggett mode in a two-component Fermi gas with dipolar interactions
• Appropriate conditions to realize a $p$-wave superfluid state starting from a spin-orbit coupled $s$-wave superfluid Fermi gas