Scattering of hole excitations in a one-dimensional spinless quantum liquid
arXiv:1204.5827 · doi:10.1103/PhysRevB.86.045136
Abstract
Luttinger liquid theory accounts for the low energy boson excitations of one-dimensional quantum liquids, but disregards the high energy excitations. The most important high energy excitations are holes which have infinite lifetime at zero temperature. At finite temperatures they can be scattered by thermally excited bosons. We describe the interaction of the hole with the bosons by treating it as a mobile impurity in a Luttinger liquid. This approach enables us to evaluate the scattering probability at arbitrary interaction strength. In general, the result is expressed in terms of the hole spectrum, its dependence on the density and momentum of the fluid, and the parameters of the Luttinger liquid Hamiltonian. In the special case of Galilean invariant systems the scattering probability is expressed in terms of only the hole spectrum and its dependence on the fluid density. We apply our results to the problem of equilibration of one-dimensional quantum liquids.
References in corpus (11)
- Universal theory of nonlinear Luttinger liquids
- Dynamic response of one-dimensional interacting fermions
- Spin dynamics in a one-dimensional ferromagnetic Bose gas
- Fermi-Luttinger liquid: Spectral function of interacting one-dimensional fermions
- Spectral function of spinless fermions on a one-dimensional lattice
- Phenomenology of One-Dimensional Quantum Liquids Beyond the Low-Energy Limit
- Breakdown of integrability in a quasi-one-dimensional ultracold bosonic gas
- Threshold singularities in the dynamic response of gapless integrable models
- Relaxation of a high-energy quasiparticle in a one-dimensional Bose gas
- Equilibration of a one-dimensional Wigner crystal
- Rate of equilibration of a one-dimensional Wigner crystal
Cited by in corpus (29)
- One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
- Phonon-mediated Casimir interaction between mobile impurities in one-dimensional quantum liquids
- Decay of fermionic quasiparticles in one-dimensional quantum liquids
- Impurity states in the one-dimensional Bose gas
- Decay of Bogoliubov excitations in one-dimensional Bose gases
- Dynamics of a Mobile Impurity in a One-Dimensional Bose Liquid
- Decay of Bogoliubov quasiparticles in a nonideal one-dimensional Bose gas
- Effective mass of elementary excitations in Galilean-invariant integrable models
- Thermal Transport in One Dimensional Electronic Fluid
- Thermal conductivity of the degenerate one-dimensional Fermi gas
- Microscopic theory of the friction force exerted on a quantum impurity in one-dimensional quantum liquids
- Fate of classical solitons in one-dimensional quantum systems
- Interaction-induced backscattering in short quantum wires
- Two-fluid dynamics of one-dimensional quantum liquids in the absence of Galilean invariance
- Equilibration of a one-dimensional quantum liquid
- Anomalous Hydrodynamics in One Dimensional Electronic Fluid
- Entropy production in one-dimensional quantum fluids
- Solitons in a one-dimensional Wigner crystal
- Propagation and attenuation of sound in one-dimensional quantum liquids
- Scattering of charge and spin excitations and equilibration of a one-dimensional Wigner crystal
- Mobile impurities in integrable models
- Thermal radiation as a probe of one-dimensional electron liquids
- Dissipative dynamics of a heavy impurity in a Bose gas in the strong coupling regime
- Damping of elementary excitations in one-dimensional dipolar Bose gases
- Nonequilibrium Spectroscopy of Topological Edge Liquids
- Thermometry with a Dissipative Heavy Impurity
- Kinetic processes in Fermi-Luttinger liquids
- Brownian scattering of a spinon in a Luttinger liquid
- Viscous dissipation in a gas of one-dimensional fermions with generic dispersion