Microscopic theory of the friction force exerted on a quantum impurity in one-dimensional quantum liquids
arXiv:1912.08123 · doi:10.1103/PhysRevB.101.104503
Abstract
We study the motion of a slow quantum impurity in one-dimensional environments focusing on systems of strongly interacting bosons and weakly interacting fermions. While at zero temperature the impurity motion is frictionless, at low temperatures finite friction appears. The dominant process is the scattering of the impurity off two fermionic quasiparticles. We evaluate the friction force and show that, at low temperatures, it scales either as the fourth or the sixth power of temperature, depending on the system parameters. This is a result of the scattering of the impurity off two fermionic quasiparticles that are situated around different Fermi points. It is the dominant process at low temperatures. We also evaluate the contribution to the friction force originating from the scattering of the impurity off two fermionic quasiparticles that are situated around different Fermi points. It behaves as the tenth power of temperature.
arXiv comment12 pages and one figure; to appear in Physical Review B
References in corpus (57)
- Feshbach Resonances in Ultracold Gases
- Single-Spin Addressing in an Atomic Mott Insulator
- Observation of Fermi Polarons in a Tunable Fermi Liquid of Ultracold Atoms
- Quantum dynamics of a single, mobile spin impurity
- One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
- Metastability and Coherence of Repulsive Polarons in a Strongly Interacting Fermi Mixture
- Observation of Attractive and Repulsive Polarons in a Bose-Einstein Condensate
- Attractive and repulsive Fermi polarons in two dimensions
- Bose polarons in the strongly interacting regime
- Froehlich Polaron and Bipolaron: Recent Developments
- A trapped single ion inside a Bose-Einstein condensate
- Quantum dynamics of impurities in a 1D Bose gas
- Ultrafast many-body interferometry of impurities coupled to a Fermi sea
- Collective Oscillations of an Imbalanced Fermi Gas: Axial Compression Modes and Polaron Effective Mass
- Dynamics of a cold trapped ion in a Bose-Einstein condensate
- Motion of a heavy impurity through a Bose-Einstein condensate
- Repulsive Fermi polarons in a resonant mixture of ultracold Li atoms
- Suppression and enhancement of impurity scattering in a Bose-Einstein condensate
- Quantum transport through a Tonks-Girardeau gas
- Fermion-Boson Duality of One-dimensional Quantum Particles with Generalized Contact Interaction
- Dynamics of single neutral impurity atoms immersed in an ultracold gas
- Fermi-Bose mapping for one-dimensional Bose gases
- Bloch oscillations in the absence of a lattice
- Spin dynamics in a one-dimensional ferromagnetic Bose gas
- Fermion-Mediated Interactions Between Bosonic Atoms
- Breakdown of superfluidity of an atom laser past an obstacle
- Quench Dynamics and Orthogonality Catastrophe of Bose Polarons
- Spin waves in a one-dimensional spinor Bose gas
- Coalescence of Two Impurities in a Trapped One-dimensional Bose Gas
- Dynamics of a heavy particle in a Luttinger liquid
- Dynamics and Bloch oscillations of mobile impurities in one-dimensional quantum liquids
- Bloch oscillations in one-dimensional spinor gas
- Dynamics of excitations in a one-dimensional Bose liquid
- Quantum Flutter: Signatures and Robustness
- Fermionic Quasiparticle Representation of Tomonaga-Luttinger Hamiltonian
- Exact calculation of spectral properties of a particle interacting with a one dimensional fermionic system
- Momentum relaxation of a mobile impurity in a one-dimensional quantum gas
- Excitation spectrum of the Lieb-Liniger model
- Dynamics of a one-dimensional spinor Bose liquid: a phenomenological approach
- Quantum Breathing of an Impurity in a One-dimensional Bath of Interacting Bosons
- Drag force on an impurity below the superfluid critical velocity in a quasi-one-dimensional Bose-Einstein condensate
- Kinetic theory for a mobile impurity in a degenerate Tonks-Girardeau gas
- Spectral functions of strongly interacting isospin-1/2 bosons in one dimension
- Theory of superfluidity and drag force in the one-dimensional Bose gas
- Dispersion relation and spectral function of an impurity in a one-dimensional quantum liquid
- Scattering of hole excitations in a one-dimensional spinless quantum liquid
- From non equilibrium quantum Brownian motion to impurity dynamics in 1D quantum liquids
- Motion of a distinguishable impurity in the Bose gas: Arrested expansion without a lattice and impurity snaking
- The Casimir-like effect in a one-dimensional Bose gas
- Induced pairing of fermionic impurities in a one-dimensional strongly correlated Bose gas
- Field-theoretical approach to the Casimir-like interaction in a one-dimensional Bose gas
- Quantum impurities: from mobile Josephson junctions to depletons
- Impurity states in the one-dimensional Bose gas
- Relaxation of weakly interacting electrons in one dimension
- Dynamics of a Mobile Impurity in a One-Dimensional Bose Liquid
- Fluctuation-induced potential for an impurity in a semi-infinite one-dimensional Bose gas
- Quasiparticle decay in a one-dimensional Bose-Fermi mixture
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