Logarithmic current fluctuations in non-equilibrium quantum spin chains

Details Logarithmic current fluctuations in non-equilibrium quantum spin chains Logarithmic current fluctuations in non-equilibrium quantum spin chains

2008-08-26

arxiv.org/abs/0808.3514v2

Physical Review E 78, 061115 (2008)

Physics

Condensed Matter

Statistical Mechanics

9 pages, 4 figures, minor alterations

Scientific paper

10.1103/PhysRevE.78.061115

We study zero-temperature quantum spin chains which are characterized by a non-vanishing current. For the XX model starting from the initial state |... + + + - - - ...> we derive an exact expression for the variance of the total spin current. We show that asymptotically the variance exhibits an anomalously slow logarithmic growth; we also extract the sub-leading constant term. We then argue that the logarithmic growth remains valid for the XXZ model in the critical region.

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