Virial expansion with Feynman diagrams

Abstract

We present a field theoretic method for the calculation of the second and third virial coefficients b2 and b3 of 2-species fermions interacting via a contact interaction. The method is mostly analytic. We find a closed expression for b3 in terms of the 2 and 3-body T-matrices. We recover numerically, at unitarity, and also in the whole BEC-BCS crossover, previous numerical results for the third virial coefficient b3.

References in corpus (6)

• Theory of ultracold Fermi gases
• Observation of Bose-Einstein Condensation of Molecules
• Virial expansion for a strongly correlated Fermi gas
• A new field theoretic method for the virial expansion
• Superfluid equation of state of dilute composite bosons
• Universality in a 2-component Fermi System at Finite Temperature

Cited by in corpus (49)

• The BCS-BEC crossover: From ultra-cold Fermi gases to nuclear systems
• Virial expansion for a strongly correlated Fermi system and its application to ultracold atomic Fermi gases
• Thermodynamics of an attractive 2D Fermi gas
• Visualizing Efimov Correlations in the Bose Polaron
• Natural and unnatural parity states of small trapped equal-mass two-component Fermi gases at unitarity and fourth-order virial coefficient
• Pseudogaps in strongly interacting Fermi gases
• Pair Correlations in the Two-Dimensional Fermi Gas
• Contact and Momentum Distribution of the Unitary Fermi Gas
• High-temperature expansion of the viscosity in interacting quantum gases
• Pairing effects in the non-degenerate limit of the two-dimensional Fermi gas
• S-matrix formulation of thermodynamics with N-body scatterings
• The contact in the unitary Fermi gas across the superfluid phase transition
• High-temperature limit of the resonant Fermi gas
• Third virial coefficient of the unitary Bose gas
• Thermodynamics of the two-component Fermi gas with unequal masses at unitarity
• Efimov correlations in strongly interacting Bose gases
• Path integral Monte Carlo determination of the fourth-order virial coefficient for unitary two-component Fermi gas with zero-range interactions
• Absence of a four-body Efimov effect in the 2 + 2 fermionic problem
• High-temperature expansion for interacting fermions
• Enhancing the Efimov correlation in Bose polarons with large mass imbalance
• Breakdown of the Fermi polaron description near Fermi degeneracy at unitarity
• The third virial coefficient of a two-component unitary Fermi gas across an Efimov-effect threshold
• Virial expansion coefficients in the harmonic approximation
• Pairing and the spin susceptibility of the polarized unitary Fermi gas in the normal phase
• Short-distance properties of Coulomb systems
• Virial expansion for the Tan contact and Beth-Uhlenbeck formula from 2D SO(2,1) anomalies
• Momentum distribution of a dilute unitary Bose gas with three-body losses
• The fourth- and fifth-order virial coefficients from weak-coupling to unitarity
• Collective modes of a two-dimensional Fermi gas at finite temperature
• Virial coefficients of 1D and 2D Fermi gases by stochastic methods and a semiclassical lattice approximation
• High Temperature Virial Expansion to Universal Quench Dynamics
• The virial expansion of attractively interacting Fermi gases in 1D, 2D, and 3D, up to fifth order
• Leading- and next-to-leading order semiclassical approximation to the first seven virial coefficients of spin-1/2 fermions across spatial dimensions
• Atom-dimer scattering amplitude for fermionic mixtures with different masses: s-wave and p-wave contributions
• Exact Quantum Virial Expansion for the Optical Response of Doped Two-Dimensional Semiconductors
• Fourth- and fifth-order virial expansion of harmonically trapped fermions at unitarity
• Beyond Gaussian pair fluctuation theory for strongly interacting Fermi gases
• Lee-Yang cluster expansion approach to the BCS-BEC crossover: BCS and BEC limits
• Third- and fourth-order virial coefficients of harmonically trapped fermions in a semiclassical approximation
• Universal relations and normal-state properties of a Fermi gas with laser-dressed mixed-partial-wave interactions
• Virial coefficients for Bose and Fermi trapped gases beyond the unitary limit: an S-Matrix approach
• Microscopic derivation of the Boltzmann equation for transport coefficients of resonating fermions at high temperature
• Spectral density, Levinson's theorem, and the extra term in the second virial coefficient for 1D delta-function potential
• Bulk viscosity of resonantly interacting fermions in the quantum virial expansion
• Quantum Bose and Fermi gases with large negative scattering length in the 2-body S-matrix approximation
• Second-order virial expansion for an atomic gas in a harmonic waveguide
• Peaks and widths of radio-frequency spectra: An analysis of the phase diagram of ultra-cold Fermi gases
• Toward an automated-algebra framework for high orders in the virial expansion of quantum matter
• The thermal index of neutron-star matter in the virial approximation