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.
Entropy production in one-dimensional quantum fluids
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abstract
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.
fields
cond-mat.stat-mech 1years
2019 1verdicts
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The fate of quantum shock waves at late times
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.