Bulk viscosity of dual Bose and Fermi gases in one dimension

Abstract

One-dimensional Bose and Fermi gases with contact interactions are known to exhibit the weak-strong duality, where the equilibrium thermodynamic properties of one system at weak coupling are identical to those of the other system at strong coupling. Here, we show that such duality extends beyond the thermodynamics to the frequency-dependent complex bulk viscosity, which is provided by the contact-contact response function. In particular, we confirm that the bulk viscosities of the Bose and Fermi gases agree in the high-temperature limit, where the systematic expansion in terms of fugacity is available at arbitrary coupling. We also compute their bulk viscosities perturbatively in the weak-coupling limit at arbitrary temperature, which via the duality serve as those of the Fermi and Bose gases in the strong-coupling limit.

7 pages, 6 figures; published version + extra equations

References in corpus (10)

• Many-Body Physics with Ultracold Gases
• Dynamical density-density correlations in the one-dimensional Bose gas
• Viscosity and scale invariance in the unitary Fermi gas
• Apparent low-energy scale invariance in two-dimensional Fermi gases
• Polarizability and dynamic structure factor of the one-dimensional Bose gas near the Tonks-Girardeau limit at finite temperatures
• Quantum droplet of one-dimensional bosons with a three-body attraction
• The Dynamic Structure Factor of the 1D Bose Gas near the Tonks-Girardeau Limit
• Hydrodynamic tails and a fluctuation bound on the bulk viscosity
• Field-theoretical aspects of one-dimensional Bose and Fermi gases with contact interactions
• Comparative study of one-dimensional Bose and Fermi gases with contact interactions from the viewpoint of universal relations for correlation functions

Cited by in corpus (5)

• Thermal conductivity of a weakly interacting Bose gas in quasi-one-dimension
• Bulk viscosity of resonantly interacting fermions in the quantum virial expansion
• Viscous Flow in a 1D Spin-Polarized Fermi Gas: the Role of Integrability on Viscosity
• Universal thermalization dynamics in (1+1)d QFTs
• Viscous Drude weight of dual Bose and Fermi gases in one dimension