Universal Properties of the Ultra-Cold Fermi Gas

Abstract

We present some general considerations on the properties of a two-component ultra-cold Fermi gas along the BEC-BCS crossover. It is shown that the interaction energy and the ground state energy can be written in terms of a single dimensionless function $h(\xi ,\tau )$, where $\xi =-(k_F{a}_s{)}^{-1}$ and $\tau =T/T_F$. The function $h(\xi ,\tau )$ incorporates all the many-body physics and naturally occurs in other physical quantities as well. In particular, we show that the RF-spectroscopy shift $\bar{\dø}(ξ,τ)$ and the molecular fraction $f_c(\xi ,\tau )$ in the closed channel can be expressed in terms of $h(\xi ,\tau )$ and thus have identical temperature dependence. The conclusions should have testable consequences in future experiments.

References in corpus (20)

• Many-Body Physics with Ultracold Gases
• Theory of ultracold Fermi gases
• Observation of the Pairing Gap in a Strongly Interacting Fermi Gas
• Generalized Virial Theorem and Pressure Relation for a strongly correlated Fermi gas
• Molecular Probe of Pairing in the BEC-BCS Crossover
• Resonantly-paired fermionic superfluids
• Thermodynamics of the BCS-BEC crossover
• Exact Relations for a Strongly-interacting Fermi Gas from the Operator Product Expansion
• Critical Temperature and Thermodynamics of Attractive Fermions at Unitarity
• Strongly paired fermions: Cold atoms and neutron matter
• Theory of RF-spectroscopy of strongly interacting Fermions
• Large-N expansion for unitary superfluid Fermi gases
• Fermi gas near unitarity around four and two spatial dimensions
• Coherence and clock shifts in ultracold Fermi gases with resonant interactions
• Pairing and Superfluid Properties of Dilute Fermion Gases at Unitarity
• Thermodynamics of a Trapped Unitary Fermi Gas
• Competition between final-state and pairing-gap effects in the radio-frequency spectra of ultracold Fermi atoms
• Final-state effects in the radio frequency spectrum of strongly interacting fermions
• BEC-BCS Crossover in the Epsilon Expansion
• Quasiparticles, coherence and nonlinearity: exact simulations of RF-spectroscopy of strongly interacting one-dimensional Fermi gases

Cited by in corpus (36)

• Verification of universal relations in a strongly interacting Fermi gas
• Time dependent impurity in ultracold fermions: orthogonality catastrophe and beyond
• Number of closed-channel molecules in the BEC-BCS crossover
• Two-dimensional dynamics of expansion of a degenerate Bose gas
• Measurement of the Homogeneous Contact of a Unitary Fermi gas
• Universal Relations for Identical Bosons from 3-Body Physics
• Universal contact for a Tonks-Girardeau gas at finite temperature
• Universal contact of strongly interacting fermions at finite temperatures
• Temperature and coupling dependence of the universal contact intensity for an ultracold Fermi gas
• Dynamic spin response of a strongly interacting Fermi gas
• Short-range correlations and entropy in ultracold atomic Fermi gases
• Breakdown of Tan's relation in lossy one-dimensional Bose gases
• Breathing mode of two-dimensional atomic Fermi gases in harmonic traps
• Large-momentum distribution of a polarized Fermi gas and p-wave contacts
• High-momentum distribution with subleading $k^{-3}$ tail in the odd-wave interacting one-dimensional Fermi gases
• Universal Tan relations for quantum gases in one dimension
• Critical behaviours of contact near phase transitions
• Cold Atom Quantum Simulator for Dilute Neutron Matter
• Bose Gases Near Resonance: renormalized interactions in a condensate
• Short range asymptotic behavior of the wave-functions of interacting spin-half fermionic atoms with spin-orbit coupling: a model study
• Correlation functions of one-dimensional strongly interacting two-component gases
• Expansion of harmonically trapped interacting particles and time dependence of the contact
• P-Wave Contact Tensor -- Universal Properties of Axisymmetry-Broken P-Wave Fermi Gases
• Tan contact and universal high momentum behavior of the fermion propagator in the BCS-BEC crossover
• Sigature of the universal super Efimov Effect: three-body contact in two dimensional Fermi gases
• Excitation picture of an interacting Bose gas
• Short-range correlations in dilute atomic Fermi gases with spin-orbit coupling
• Quantum critical behavior and thermodynamics of the repulsive one-dimensional Hubbard model in a magnetic field
• The self-energy of an impurity in an ideal Fermi gas to second order in the interaction strength
• Spin-incoherent one-dimensional spin-1 Bose Luttinger liquid
• P-wave contacts of quantum gases in quasi-one-dimensional and quasi-two-dimensional traps
• Photo-excitation measurement of Tan's contact for a strongly interacting Fermi gas
• Universal Relations for Fermions with Large Scattering Length
• Universal scattering phase shift in the presence of spin-orbit coupling
• An Effective Series Expansion to the Equation of State of Unitary Fermi Gases
• BEC-BCS Crossover with Feshbach Resonance for a Three-Hyperfine-Species Model