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.

arXiv comment7 pages, 6 figures; published version + extra equations

References in corpus (31)

• Many-Body Physics with Ultracold Gases
• One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
• Kubo formulas for viscosity: Hall viscosity, Ward identities, and the relation with conductivity
• Fermion-Boson Duality of One-dimensional Quantum Particles with Generalized Contact Interaction
• Dynamical density-density correlations in the one-dimensional Bose gas
• Viscosity and scale invariance in the unitary Fermi gas
• One-particle dynamical correlations in the one-dimensional Bose gas
• Vanishing bulk viscosities and conformal invariance of unitary Fermi gas
• Viscosity of strongly interacting quantum fluids: spectral functions and sum rules
• Virial expansion for a strongly correlated Fermi system and its application to ultracold atomic Fermi gases
• 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
• Thermalization in a quasi-1D ultracold bosonic gas
• One-dimensional three-boson problem with two- and three-body interactions
• Current response, structure factor and hydrodynamic quantities of a two- and three-dimensional Fermi gas from the operator-product expansion
• Universal One-dimensional Atomic Gases Near Odd-wave Resonance
• The Dynamic Structure Factor of the 1D Bose Gas near the Tonks-Girardeau Limit
• Scale breaking and fluid dynamics in a dilute two-dimensional Fermi gas
• Bulk viscosity and contact correlations in attractive Fermi gases
• High-temperature expansion of the viscosity in interacting quantum gases
• Universal bound states of one-dimensional bosons with two- and three-body attractions
• Viscosity spectral functions of resonating fermions in the quantum virial expansion
• Hydrodynamic tails and a fluctuation bound on the bulk viscosity
• A Pure Confinement Induced Trimer in One-Dimensional Atomic Waveguides
• 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
• Hydrodynamics with spacetime-dependent scattering length
• Viscosity Sum Rules at Large Scattering Lengths
• Bulk viscosity of resonating fermions revisited: Kubo formula, sum rule, and the dimer and high-temperature limits
• The Role of the Effective Range in Resonantly Interacting Fermi Gases: How Breaking Scale Symmetry Affects the Bulk Viscosity

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