Long time thermal asymptotics of nonlinear Luttinger liquid from inverse scattering
arXiv:1708.02170
Abstract
I derive a Fredholm determinant for the thermal correlator of vertex operators with a conformally invariant density matrix and nonlinear time evolution. Using the method of nonlinear steepest descent I find the long time asymptotics at finite temperature. The asymptotics display exponentially small corrections in temperature to the finite temperature mobile impurity phenomenology.
arXiv comment18 pages, 1 figure. Submission to SciPost
References in corpus (11)
- Time evolution of local observables after quenching to an integrable model
- One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
- Dynamical Correlations after a Quantum Quench
- Multispinon continua at zero and finite temperature in a near-ideal Heisenberg chain
- Dynamic response of one-dimensional interacting fermions
- Form factor approach to dynamical correlation functions in critical models
- Dynamical structure factor of one-dimensional Bose gases: experimental signatures of beyond-Luttinger liquid physics
- Exact exponents of edge singularities in dynamic correlation functions of 1D Bose gas
- Asymptotic analysis and quantum integrable models
- Low-temperature large-distance asymptotics of the transversal two-point functions of the XXZ chain
- Transverse spectral functions and Dzyaloshinskii-Moriya interactions in XXZ spin chains