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Finite temperature dynamics in gapped 1D models in the sine-Gordon family

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arxiv 2208.08406 v1 pith:M72S6WND submitted 2022-08-17 cond-mat.stat-mech cond-mat.str-elhep-th

Finite temperature dynamics in gapped 1D models in the sine-Gordon family

M\'arton Kormos , D\'aniel V\"or\"os , Gergely Zar\'and This is my paper
classification cond-mat.stat-mech cond-mat.str-elhep-th
keywords sine-gordontimecorrelationdynamicsfamilyfindfinitefunctions
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The sine-Gordon model appears as the low-energy effective field theory of various one-dimensional gapped quantum systems. Here we investigate the dynamics of generic, non-integrable systems belonging to the sine-Gordon family at finite temperature within the semiclassical approach. Focusing on time scales where the effect of nontrivial quasiparticle scatterings becomes relevant, we obtain universal results for the long-time behavior of dynamical correlation functions. We find that correlation functions of vertex operators behave neither ballistically nor diffusively but follow a stretched exponential decay in time. We also study the full counting statistics of the topological current and find that distribution of the transferred charge is non-Gaussian with its cumulants scaling non-uniformly in time.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Finite temperature correlation functions of the sine--Gordon model

    cond-mat.stat-mech 2026-04 unverdicted novelty 7.0

    The sine-Gordon model's finite-temperature correlation functions are evaluated non-perturbatively via the Method of Random Surfaces, with an exact formula derived for N-point functions obeying a selection rule.

  2. Full counting statistics in the sine-Gordon model

    cond-mat.stat-mech 2026-01 conditional novelty 6.0

    Full counting statistics for energy, momentum, and topological charge in the sine-Gordon model, computed via TBA, show fractal coupling dependence for topological charge but smooth behavior for energy and momentum.