Fourth- and fifth-order virial expansion of harmonically trapped fermions at unitarity
arXiv:2104.14440 · doi:10.1103/PhysRevResearch.3.033099
Abstract
By generalizing our automated algebra approach from homogeneous space to harmonically trapped systems, we have calculated the fourth- and fifth-order virial coefficients of universal spin-1/2 fermions in the unitary limit, confined in an isotropic harmonic potential. We present results for said coefficients as a function of trapping frequency (or, equivalently, temperature), which compare favorably with previous Monte Carlo calculations (available only at fourth order) as well as with our previous estimates in the untrapped limit (high temperature, low frequency). We use our estimates of the virial expansion, together with resummation techniques, to calculate the compressibility and spin susceptibility.
arXiv comment5 pages, 3 figures
References in corpus (40)
- Many-Body Physics with Ultracold Gases
- Theory of ultracold Fermi gases
- Universality in Few-body Systems with Large Scattering Length
- Revealing the Superfluid Lambda Transition in the Universal Thermodynamics of a Unitary Fermi Gas
- Exploring the Thermodynamics of a Universal Fermi Gas
- Universal Thermodynamics of Degenerate Quantum Gases in the Unitarity Limit
- Observation of pseudogap behavior in a strongly interacting Fermi gas
- Normal state of a polarized Fermi gas at unitarity
- The BCS-BEC crossover: From ultra-cold Fermi gases to nuclear systems
- Virial expansion for a strongly correlated Fermi gas
- BCS-BEC crossover at finite temperature in the broken-symmetry phase
- Virial expansion for a strongly correlated Fermi system and its application to ultracold atomic Fermi gases
- Pairing in a two-component ultracold Fermi gas: phases with broken space symmetries
- Three attractively interacting fermions in a harmonic trap: Exact solution, ferromagnetism, and high-temperature thermodynamics
- Natural and unnatural parity states of small trapped equal-mass two-component Fermi gases at unitarity and fourth-order virial coefficient
- Virial expansion with Feynman diagrams
- Pseudogaps in strongly interacting Fermi gases
- Resummation of diagrammatic series with zero convergence radius for strongly correlated fermions
- A new field theoretic method for the virial expansion
- Three s-wave interacting fermions under anisotropic harmonic confinement: Dimensional crossover of energetics and virial coefficients
- Pseudogap phenomena in ultracold atomic Fermi gases
- Third virial coefficient of the unitary Bose gas
- High-temperature limit of the resonant Fermi gas
- Emergence of a pseudogap in the BCS-BEC crossover
- Absence of a four-body Efimov effect in the 2 + 2 fermionic problem
- Path integral Monte Carlo determination of the fourth-order virial coefficient for unitary two-component Fermi gas with zero-range interactions
- Universality of the unitary Fermi gas: A few-body perspective
- The pseudogap regime in the unitary Fermi gas
- The third virial coefficient of a two-component unitary Fermi gas across an Efimov-effect threshold
- Pairing and the spin susceptibility of the polarized unitary Fermi gas in the normal phase
- The fourth- and fifth-order virial coefficients from weak-coupling to unitarity
- Virial coefficients of 1D and 2D Fermi gases by stochastic methods and a semiclassical lattice approximation
- Virial coefficients of trapped and un-trapped three-component fermions with three-body forces in arbitrary spatial dimensions
- The virial expansion of attractively interacting Fermi gases in 1D, 2D, and 3D, up to fifth order
- The interaction-sensitive states of a trapped two-component ideal Fermi gas and application to the virial expansion of the unitary Fermi gas
- Leading- and next-to-leading order semiclassical approximation to the first seven virial coefficients of spin-1/2 fermions across spatial dimensions
- Virial expansion of a harmonically trapped Fermi gas across a narrow Feshbach resonance
- Third- and fourth-order virial coefficients of harmonically trapped fermions in a semiclassical approximation
- Thermodynamics of rotating quantum matter in the virial expansion
- Second-order virial expansion for an atomic gas in a harmonic waveguide