Critical Temperature and Thermodynamics of Attractive Fermions at Unitarity

Abstract

The unitarity regime of the BCS-BEC crossover can be realized by diluting a system of two-component lattice fermions with an on-site attractive interaction. We perform a systematic-error-free finite-temperature simulations of this system by diagrammatic determinant Monte Carlo. The critical temperature in units of Fermi energy is found to be T_c / E_F = 0.152(7). We also report the behavior of the thermodynamic functions, and discuss the issues of thermometry of ultracold Fermi gases.

4+1 pages, 4 figures, published version + erratum

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Cited by in corpus (53)

• Many-Body Physics with Ultracold Gases
• Theory of ultracold Fermi gases
• Continuous-time Monte Carlo methods for quantum impurity models
• Thermodynamics of the BCS-BEC crossover
• Phase diagram of a two-component Fermi gas with resonant interactions
• Number of closed-channel molecules in the BEC-BCS crossover
• Universal Properties of the Ultra-Cold Fermi Gas
• Virial expansion for a strongly correlated Fermi gas
• Quantum Monte Carlo Simulations of the BCS-BEC Crossover at Finite Temperature
• The potential energy of a ${}^{40}$K Fermi gas in the BCS-BEC crossover
• Determination of the Fermion Pair Size in a Resonantly Interacting Superfluid
• Large-N expansion for unitary superfluid Fermi gases
• The Shear Viscosity to Entropy Density Ratio of Trapped Fermions in the Unitarity Limit
• Shear viscosity of a superfluid Fermi gas in the unitarity limit
• Critical Temperature Curve in the BEC-BCS Crossover
• Virial theorems for trapped cold atoms
• Renormalization Group Theory for the Imbalanced Fermi Gas
• Superfluidity and phase transitions in a resonant Bose gas
• Particle-hole fluctuations in the BCS-BEC Crossover
• Thermodynamics of a Trapped Unitary Fermi Gas
• Pairing and Superfluid Properties of Dilute Fermion Gases at Unitarity
• The ground state energy at unitarity
• Universal contact of strongly interacting fermions at finite temperatures
• Comparative study of strong coupling theories of a trapped Fermi gas at unitarity
• Renormalisation Flow and Universality for Ultracold Fermionic Atoms
• Thermodynamics of a trapped unitary Fermi gas
• Two-particle scattering on the lattice: Phase shifts, spin-orbit coupling, and mixing angles
• Spin diffusion in Fermi gases
• Superfluid Expansion of a Strongly Interacting Fermi Gas
• Unitary Fermi gas at finite temperature in the epsilon expansion
• Sign-free stochastic mean-field approach to strongly correlated phases of ultracold fermions
• Three fermions in a box at the unitary limit: universality in a lattice model
• Dilute neutron matter on the lattice at next-to-leading order in chiral effective field theory
• BCS-BEC crossover in dense relativistic matter: Collective excitations
• Variational theory of two-fluid hydrodynamic modes at unitarity
• Universality in a 2-component Fermi System at Finite Temperature
• Low-temperature thermodynamics of the unitary Fermi gas: superfluid fraction, first sound and second sound
• Precision benchmark calculations for four particles at unitarity
• Comparative study of the finite-temperature thermodynamics of a unitary Fermi gas
• Superfluidity and excitations at unitarity
• Temperature-dependent errors in nuclear lattice simulations
• Fermionic ground state at unitarity and Haldane Exclusion Statistics
• Fermions at unitarity and Haldane Exclusion Statistics
• The virial equation of state for unitary fermion thermodynamics with non-Gaussian correlations
• Polarized fermions in the unitarity limit
• $D$-dimensions Dirac fermions BEC-BCS cross-over thermodynamics
• Superfluid to insulator phase transition in a unitary Fermi gas
• Density functional theory of the trapped Fermi gas in the unitary regime
• The Fermionic Density-functional at Feshbach Resonance
• Unitary Fermi gas in the epsilon expansion
• Flow and critical velocity of an imbalanced Fermi gas through an optical potential
• From Trapped Atoms to Liberated Quarks
• Effective Field Theory and the Nuclear Many Body Problem