Kinetics of mobile impurities and correlation functions in one-dimensional superfluids at finite temperature

Abstract

We scrutinize the hydrodynamic approach for calculating dynamical correlations in one-dimensional superfluids near integrability and calculate the characteristic time scale τ beyond which this approach is valid. For time scales shorter than τ hydrodynamics fails and we develop an approach based on kinetics of fermionic quasiparticles described as mobile impurities. New universal results for the dynamical structure factor relevant to experiments in ultracold atomic gases are obtained.

5 pages, 2 figures. Supplemental material included. Version 3: Minor typos corrected

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Cited by in corpus (24)

• Kardar-Parisi-Zhang universality from soft gauge modes
• Non-Equilibrium Universality in the Heating Dynamics of Interacting Luttinger Liquids
• The spatial coherence of weakly interacting one-dimensional non-equilibrium Bosonic quantum fluids
• High-temperature spin dynamics in the Heisenberg chain: Magnon propagation and emerging KPZ-scaling in the zero-magnetization limit
• Determination of topological edge quantum numbers of fractional quantum Hall phases
• Prethermalization and Thermalization of a Quenched Interacting Luttinger Liquid
• Dynamic structure factor and drag force in a one-dimensional strongly-interacting Bose gas at finite temperature
• Relaxation in Luttinger liquids: Bose-Fermi duality
• Electrical and Thermal Transport in Inhomogeneous Luttinger Liquids
• Dynamic criticality far-from-equilibrium: one-loop flow of Burgers-Kardar-Parisi-Zhang systems with broken Galilean invariance
• Viscous Dissipation in One-Dimensional Quantum Liquids
• Kinetic Theory for Interacting Luttinger Liquids
• Thermal Transport in One Dimensional Electronic Fluid
• Thermal conductivity of the degenerate one-dimensional Fermi gas
• Equilibration in a chiral Luttinger liquid
• Second sound in systems of one-dimensional fermions
• Hybrid sound modes in one-dimensional quantum liquids
• Anomalous Hydrodynamics in One Dimensional Electronic Fluid
• Propagation and attenuation of sound in one-dimensional quantum liquids
• Equilibration of Quasi-One-Dimensional Fermi Gases
• Relaxation of the degenerate one-dimensional Fermi gas
• Plasmon localization and relaxation, and thermal transport in one-dimensional conductors
• Long lifetimes of ultra-hot particles in interacting Fermi systems
• Spin correlation functions and quasiparticle decay