Exact Large-Scale Fluctuations of the Phase Field in the Sine-Gordon Model

Del Vecchio, Giuseppe Del Vecchio; Kormos, Márton; Doyon, Benjamin; Bastianello, Alvise

doi:10.1103/physrevlett.131.263401

Cited by 5 publications

(1 citation statement)

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“…In particular, the sine-Gordon model is realised in atom chip experiments [23] in which generalised hydrodynamics can be investigated [85,86] due to the ability of phase imprinting and of designing arbitrary inhomogeneous optical potentials [87,88]. Using ballistic fluctuation theory [89][90][91], GHD can also access fluctuations and full distribution functions of conserved charges and currents. Additionally, dynamical correlation functions of vertex operators can also be computed.…”

Section: Discussionmentioning

confidence: 99%

Thermodynamic Bethe Ansatz and generalised hydrodynamics in the sine-Gordon model

Nagy,

Takács,

Kormos

2024

SciPost Phys.

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We set up a hydrodynamic description of the non-equilibrium dynamics of sine-Gordon quantum field theory for generic coupling. It is built upon an explicit form of the Bethe Ansatz description of general thermodynamic states, with the structure of the resulting coupled integral equations encoded in terms of graphical diagrams. The resulting framework is applied to derive results for the Drude weights of charge and energy. Quantities associated with the charge universally have fractal dependence on the coupling, which is notably absent from those associated with energy, a feature explained by the different roles played by reflective scattering in transporting these quantities. We then present far-from-equilibrium results, including explicit time evolution starting from bipartite initial states and dynamical correlation functions. Our framework can be applied to explore numerous other aspects of non-equilibrium dynamics, which opens the way to a wide array of theoretical studies and potential novel experimental predictions.

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