Logarithmic current fluctuations in nonequilibrium quantum spin chains

T. Antal, P. L. Krapivsky, A. Rakos

Research output: Contribution to journalArticlepeer-review


We study zero-temperature quantum spin chains, which are characterized by a nonvanishing current. For the XX model starting from the initial state parallel to center dot up arrow up arrow up arrow down arrow down arrow down arrow center dot > 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 subleading constant term. We then argue that the logarithmic growth remains valid for the XXZ model in the critical region.

Original languageEnglish
Article number061115
Pages (from-to)-
Number of pages8
JournalPhysical Review E - Statistical, Nonlinear and Soft Matter Physics
Issue number6
Publication statusPublished - Dec 2008


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