Quasiclassical molecular dynamics for the dilute Fermi gas at unitarity

Abstract

We study the dilute Fermi gas at unitarity using molecular dynamics with an effective quantum potential constructed to reproduce the quantum two-body density matrix at unitarity. Results for the equation of state, the pair correlation function and the shear viscosity are presented. These quantities are well understood in the dilute, high temperature, limit. Using molecular dynamics we determine higher order corrections in the diluteness parameter $n{\lambda }^3$, where $n$ is the density and $\lambda$ is the thermal de Broglie wave length. In the case of the contact density, which parameterizes the short distance behavior of the correlation function, we find that the results of molecular dynamics interpolates between the truncated second and third order virial expansion, and are in excellent agreement with existing T-matrix calculations. For the shear viscosity we reproduce the expected scaling behavior at high temperature, $\eta \sim 1/{\lambda }^3$, and we determine the leading density dependent correction to this result.

23 pages, 7 figures

References in corpus (19)

• Many-Body Physics with Ultracold Gases
• Theory of ultracold Fermi gases
• Universal Quantum Viscosity in a Unitary Fermi Gas
• Strongly Correlated Quantum Fluids: Ultracold Quantum Gases, Quantum Chromodynamic Plasmas, and Holographic Duality
• Viscosity and scale invariance in the unitary Fermi gas
• Virial expansion for a strongly correlated Fermi gas
• Theory of RF-spectroscopy of strongly interacting Fermions
• Shear viscosity of a superfluid Fermi gas in the unitarity limit
• Shear viscosity and damping for a Fermi gas in the unitarity limit
• Momentum Distribution and Contact of the Unitary Fermi gas
• Thermodynamics of balanced and slightly spin-imbalanced Fermi gases at unitarity
• Universal contact of strongly interacting fermions at finite temperatures
• Temperature and coupling dependence of the universal contact intensity for an ultracold Fermi gas
• Short-range correlations and entropy in ultracold atomic Fermi gases
• Spin diffusion in Fermi gases
• Shear Viscosity of a Unitary Fermi Gas
• Pair correlations of an expanding superfluid Fermi gas
• Microscopic Approach to Shear Viscosities in Superfluid Gases: From BCS to BEC
• Universality in a 2-component Fermi System at Finite Temperature

Cited by in corpus (2)

• Finite-range effects in the unitary Fermi polaron
• Second order fluid dynamics for the unitary Fermi gas from kinetic theory