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arXiv:0811.3079

Out-of-equilibrium bosons on a one-dimensional optical random lattice

Thierry Platini, Rosemary J. Harris, Dragi Karevski

Published Nov 19, 2008• 0 citations
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Abstract

We study the transport properties of a one-dimensional hard-core boson lattice gas coupled to two particle reservoirs at different chemical potentials generating a current flow through the system. In particular, the influence of random fluctuations of the underlying lattice on the stationary state properties is investigated. We show analytically that the steady-state density presents a linear profile. The local steady-state current obeys the Fourier law $j=-κ(τ)\nabla ρ$ where $τ$ is a typical timescale of the lattice fluctuations and $\nabla ρ$ the density gradient imposed %on the system by the reservoirs.

DOI
10.48550/arxiv.0811.3079

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