Thermodynamic Properties of Universal Fermi Gases
arXiv:1206.0237 · doi:10.1103/PhysRevA.87.013602
Abstract
We develop a simple, mean-field-like theory for the normal phase of a unitary Fermi gas by deriving a self-consistent equation for its self-energy via a momentum-dependent coupling constant for both attractive and repulsive universal fermions. For attractive universal fermions in the lower branch of a Feshbach resonance, we use zero-temperature Monte Carlo results as a starting point for one-step iteration in order to derive an analytical expression for the momentum-dependent self-energy. For repulsive universal fermions in the upper branch of a Feshbach resonance, we iteratively calculate the momentum-dependent self-energy via our self-consistent equation. Lastly, for the case of population imbalance, we propose an ansatz for higher order virial expansion coefficents. Overall, we find that our theory is in good agreement with currently available, high temperature experimental data.
7 pages, 6 figures; http://link.aps.org/doi/10.1103/PhysRevA.87.013602
References in corpus (38)
- Theory of ultracold Fermi gases
- Observation of a Strongly-Interacting Degenerate Fermi Gas of Atoms
- Pairing and Phase Separation in a Polarized Fermi Gas
- Fermionic Superfluidity with Imbalanced Spin Populations and the Quantum Phase Transition to the Normal State
- Revealing the Superfluid Lambda Transition in the Universal Thermodynamics of a Unitary Fermi Gas
- Large momentum part of fermions with large scattering length
- Energetics of a strongly correlated Fermi gas
- Exploring the Thermodynamics of a Universal Fermi Gas
- The Unitary Fermi Gas: From Monte Carlo to Density Functionals
- Generalized Virial Theorem and Pressure Relation for a strongly correlated Fermi gas
- Universal phase diagram of a strongly interacting Fermi gas with unbalanced spin populations
- Measurement of interaction energy near a Feshbach resonance in a 6Li Fermi gas
- Pure Gas of Optically Trapped Molecules Created from Fermionic Atoms
- Measurement of positive and negative scattering lengths in a Fermi gas of atoms
- Itinerant Ferromagnetism in a Fermi Gas of Ultracold Atoms
- Fermi systems with long scattering lengths
- Normal state of highly polarized Fermi gases: simple many-body approaches
- Normal state of a polarized Fermi gas at unitarity
- Critical Temperature and Thermodynamics of Attractive Fermions at Unitarity
- Feynman diagrams versus Fermi-gas Feynman emulator
- Ultra-cold Polarized Fermi Gases
- Spectral Functions and rf Response of Ultracold Fermionic Atoms
- Virial Theorem and Universality in a Unitary Fermi Gas
- Decay of an ultracold fermionic lithium gas near a Feshbach resonance
- Itinerant ferromagnetism of a repulsive atomic Fermi gas: a quantum Monte Carlo study
- Elastic and inelastic collisions of 6Li in magnetic and optical traps
- Thermodynamic Measurements in a Strongly Interacting Fermi Gas
- The Finite Temperature Pairing Gap of a Unitary Fermi Gas by Quantum Monte Carlo Calculations
- Quantum mechanical limitations to spin diffusion in the unitary Fermi gas
- Renormalization Group Theory for the Imbalanced Fermi Gas
- Repulsive Fermi gas in a harmonic trap: Ferromagnetism and spin textures
- The Equation of State of the Unitary Fermi Gas: An Update on Lattice Calculations
- The Nature and Properties of a Repulsive Fermi Gas in the "Upper Branch"
- Virial expansion for a strongly correlated Fermi gas with imbalanced spin populations
- Hartree shift in unitary Fermi gases
- Quantum quench dynamics of the Bose-Hubbard model at finite temperatures
- The universal equation of state of a unitary fermionic gas
- S-matrix approach to quantum gases in the unitary limit II: the three-dimensional case