Strong-coupling corrections to ground-state properties of a superfluid Fermi gas

Abstract

We theoretically present an economical and convenient way to study ground-state properties of a strongly interacting superfluid Fermi gas. Our strategy is that complicated strong-coupling calculations are used only to evaluate quantum fluctuation corrections to the chemical potential $\mu$. Then, without any further strong-coupling calculations, we calculate the compressibility, sound velocity, internal energy, pressure, and Tan's contact, from the calculated $\mu$ without loss of accuracy, by using exact thermodynamic identities. Using a recent precise measurement of $\mu$ in a superfluid ${}^6$Li Fermi gas, we show that an extended $T$-matrix approximation (ETMA) is suitable for our purpose, especially in the BCS-unitary regime, where our results indicate that many-body corrections are dominated by superfluid fluctuations. Since precise determinations of physical quantities are not always easy in cold Fermi gas physics, our approach would greatly reduce experimental and theoretical efforts toward the understanding of ground-state properties of this strongly interacting Fermi system.

arXiv comment12 pages, 5 figures, accepted by Physical Review A

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• Polaron Problems in Ultracold Atoms: Role of a Fermi Sea across Different Spatial Dimensions and Quantum Fluctuations of a Bose Medium
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• Thermal crossover, transition, and coexistence in Fermi polaronic spectroscopies
• Dynamical instability of a driven-dissipative electron-hole condensate in the BCS-BEC-crossover region
• The ${}^1$S${}_0$ pairing gap in neutron matter
• Cold Atom Quantum Simulator for Dilute Neutron Matter
• Effective field theory for dilute Fermi systems at fourth order
• Precursor of Superfluidity in a Strongly Interacting Fermi Gas with Negative Effective Range
• QCD-like phase diagram with Efimov trimers and Cooper pairs in resonantly interacting SU(3) Fermi gases
• Non-Hermitian topological Fermi superfluid near the $p$-wave unitary limit
• Role of the effective range in the density-induced BEC-BCS crossover
• Collisional dynamics of polaronic clouds immersed in a Fermi sea
• Generalized Crossover in Interacting Fermions within the Low-Energy Expansion
• Weak-coupling to unitarity crossover in Bose-Fermi mixtures: Mixing-demixing and spontaneous symmetry breaking in trapped systems
• Goldstino spectrum in an ultracold Bose-Fermi mixture with explicitly broken supersymmetry
• Spin susceptibility and effects of a harmonic trap in the BCS-BEC crossover regime of an ultracold Fermi gas
• Brueckner $G$-matrix approach to two-dimensional Fermi gases with the finite-range attractive interaction
• Dominant Andreev Reflection through Nonlinear Radio-Frequency Transport
• Multi-body correlations in SU(3) Fermi gases
• Spin-dipole mode in a trapped Fermi gas near unitarity
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• Anderson-Bogoliubov collective excitations in superfluid Fermi gases at nonzero temperatures
• Effects of dilute neutron matter on the neutron star crust equation of state
• Finite-range effect in the two-dimensional density-induced BCS-BEC crossover
• Normal-state Properties of a Unitary Bose-Fermi Mixture: A Combined Strong-coupling Approach with Universal Thermodynamics