Harmonically trapped Fermi gas: Temperature dependence of the Tan contact

Abstract

Ultracold atomic gases with short-range interactions are characterized by a number of universal species-independent relations. Many of these relations involve the two-body Tan contact. Employing the canonical ensemble, we determine the Tan contact for small harmonically trapped two-component Fermi gases at unitarity over a wide range of temperatures, including the zero and high temperature regimes. A cluster expansion that describes the properties of the N-particle system in terms of those of smaller subsystems is introduced and shown to provide an accurate description of the contact in the high temperature regime. Finite-range corrections are quantified and the role of the Fermi statistics is elucidated by comparing results for Fermi, Bose and Boltzmann statistics.

5 figures (several subfigures)

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Cited by in corpus (18)

• Universal few-body physics and cluster formation
• Boiling a Unitary Fermi Liquid
• Theory of radio-frequency spectroscopy of impurities in quantum gases
• Universality of the unitary Fermi gas: A few-body perspective
• Incorporating exact two-body propagators for zero-range interactions into $N$-body Monte Carlo simulations
• Thermodynamics, contact and density profiles of the repulsive Gaudin-Yang model
• Trapped unitary two-component Fermi gases with up to ten particles
• Few-body correlations in two-dimensional Bose and Fermi ultracold mixtures
• Expansion of harmonically trapped interacting particles and time dependence of the contact
• Radio-frequency response and contact of impurities in a quantum gas
• Universal relations and normal phase of an ultracold Fermi gas with coexisting $s$- and $p$-wave interactions
• One-dimensional Fermi polaron in a combined harmonic and periodic potential
• Momentum-resolved spectroscopy of a Fermi liquid
• Critical phenomena in one dimension from a Bethe ansatz perspective
• Abnormal Superfluid Fraction of Harmonically Trapped Few-Fermion Systems
• Finite temperature contact for SU(2) fermions trapped in a 1D harmonic confinement
• Dynamical excitation processes and correlations of three-body two-dimensional mixtures
• Density effects on the interferometry of Efimov states by modulating magnetic fields