Mobile impurities in integrable models

Abstract

We use a mobile impurity or depleton model to study elementary excitations in one-dimensional integrable systems. For Lieb-Liniger and bosonic Yang-Gaudin models we express two phenomenological parameters characterising renormalised inter- actions of mobile impurities with superfluid background: the number of depleted particles, $N$ and the superfluid phase drop $\pi J$ in terms of the corresponding Bethe Ansatz solution and demonstrate, in the leading order, the absence of two-phonon scattering resulting in vanishing rates of inelastic processes such as viscosity experienced by the mobile impurities

arXiv comment25 pages, minor corrections made to the manuscript

References in corpus (33)

• Quantum dynamics of a single, mobile spin impurity
• One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
• Quantum dynamics of impurities in a 1D Bose gas
• Dynamics of dark solitons in elongated Bose-Einstein condensates
• Quantum transport through a Tonks-Girardeau gas
• Dynamics of single neutral impurity atoms immersed in an ultracold gas
• Bloch oscillations in the absence of a lattice
• The Fermi Edge Singularity and Boundary Condition Changing Operators
• Spin dynamics in a one-dimensional ferromagnetic Bose gas
• Exact edge singularities and dynamical correlations in spin-1/2 chains
• Phenomenology of One-Dimensional Quantum Liquids Beyond the Low-Energy Limit
• Spectral function of spinless fermions on a one-dimensional lattice
• Exact exponents of edge singularities in dynamic correlation functions of 1D Bose gas
• Quantum flutter of supersonic particles in one-dimensional quantum liquids
• Polarization of interacting bosons with spin
• Dynamics of a heavy particle in a Luttinger liquid
• Dynamics and Bloch oscillations of mobile impurities in one-dimensional quantum liquids
• Form factor approach to the asymptotic behavior of correlation functions in critical models
• Bloch oscillations in one-dimensional spinor gas
• Quantum Flutter: Signatures and Robustness
• Critical velocity of a mobile impurity in one-dimensional quantum liquids
• Dynamics of a one-dimensional spinor Bose liquid: a phenomenological approach
• Quantum Breathing of an Impurity in a One-dimensional Bath of Interacting Bosons
• Threshold singularities in the dynamic response of gapless integrable models
• Quantum decay of dark solitons in one dimensional Bose systems
• Edge exponent in the dynamic spin structure factor of the Yang-Gaudin model
• Scattering of hole excitations in a one-dimensional spinless quantum liquid
• Photo-Solitonic Effect
• Equilibration of a spinless Luttinger liquid
• The New Identity for the Scattering Matrx of Exactly Solvable Models
• Quantum impurities: from mobile Josephson junctions to depletons
• The mobility and diffusion of a particle coupled to a Luttinger liquid
• A nonlinear indentity for the scattering phase of integrable models

Cited by in corpus (7)

• Coalescence of Two Impurities in a Trapped One-dimensional Bose Gas
• Effective approach to impurity dynamics in one-dimensional trapped Bose gases
• Non-Equilibrium Steady State generated by a moving defect: the supersonic threshold
• Long-distance and large-time asymptotic behaviour of dynamic correlation functions in the massless regime of the XXZ spin-1/2 chain
• Exact spectral function of a Tonks-Girardeau gas in a lattice
• Exact Dynamical Correlations of Hard-Core Anyons in One-Dimensional Lattices
• One-dimensional Fermi polaron after a kick: two-sided singularity of the momentum distribution, Bragg reflection and other exact results