Viscous Drude weight of dual Bose and Fermi gases in one dimension
arXiv:2210.09712 · doi:10.1103/PhysRevA.106.063317
Abstract
We continue to study frequency-dependent complex bulk viscosities of one-dimensional Bose and Fermi gases with contact interactions, which exhibit the weak-strong duality according to our recent work. Here we show that they are contributed to by Drude peaks divergent at zero frequency as typical for transport coefficients of quantum integrable systems in one dimension. In particular, their Drude weights are evaluated based on the Kubo formula in the high-temperature limit at arbitrary coupling as well as in the weak-coupling and strong-coupling limits at arbitrary temperature, where systematic expansions in terms of small parameters are available. In all three limits, the Drude peaks are found at higher orders compared to the finite regular parts.
arXiv comment8 pages, 8 figures; published version
References in corpus (23)
- Transport and conservation laws
- Finite-temperature transport in one-dimensional quantum lattice models
- Kubo formulas for viscosity: Hall viscosity, Ward identities, and the relation with conductivity
- Integrability and ideal conductance at finite temperatures
- Fermion-Boson Duality of One-dimensional Quantum Particles with Generalized Contact Interaction
- Viscosity and scale invariance in the unitary Fermi 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
- Universal One-dimensional Atomic Gases Near Odd-wave Resonance
- Scale breaking and fluid dynamics in a dilute two-dimensional Fermi gas
- High-temperature expansion of the viscosity in interacting quantum gases
- Viscosity spectral functions of resonating fermions in the quantum virial expansion
- 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
- Transport in one-dimensional integrable quantum systems
- Hydrodynamics with spacetime-dependent scattering length
- Viscous Dissipation in One-Dimensional Quantum Liquids
- Bulk viscosity of resonating fermions revisited: Kubo formula, sum rule, and the dimer and high-temperature limits
- Microscopic derivation of the Boltzmann equation for transport coefficients of resonating fermions at high temperature
- Thermal conductivity of a weakly interacting Bose gas in quasi-one-dimension
- Viscous Properties of a Degenerate One-Dimensional Fermi Gas
- Bulk viscosity of dual Bose and Fermi gases in one dimension