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Entropy production in one-dimensional quantum fluids

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arxiv 1906.11191 v1 pith:WPWJJY7H submitted 2019-06-26 cond-mat.mes-hall cond-mat.str-el

Edvin G. Idrisov , Thomas L. Schmidt This is my paper · ORCID
classification cond-mat.mes-hallcond-mat.str-el
keywords entropyproductionquantumderiveone-dimensionalarbitrarybasiscollisions
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We study nonequilibrium thermodynamic properties of a driven one-dimensional quantum fluid by combining nonlinear Luttinger liquid theory with the quantum kinetic equation. In particular, we derive an entropy production consistent with the laws of thermodynamics for a system subject to an arbitrary perturbation varying slowly in space and time. Working in a basis of weakly interacting fermionic quasiparticles, we show that the leading contribution to the entropy production results from three-particle collisions, and we derive its scaling law at low temperatures.

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  1. The fate of quantum shock waves at late times

    cond-mat.stat-mech 2019-08 accept novelty 6.0 of 10

    At late times, a weak non-integrable interaction makes a quantum shock decay exponentially and adds a universal low-energy correction that changes the density profile in a window behind the shock front.

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