Work

Logarithmic current fluctuations in nonequilibrium quantum spin chains

Year: 2008

Type: article

Abstract: We study zero-temperature quantum spin chains, which are characterized by a nonvanishing current. For the XX model starting from the initial state mid R:cdots, three dots, centered upward arrow upward arrow upward arrow downward arrow downward arrow downward arrowcdots, three dots, centered 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.

Source: Physical Review E

DOI: 10.1103/physreve.78.061115

Authors: T. Antal, P. L. Krapivsky, A. Rákos

Institutions: Harvard University, Boston University, Los Alamos National Laboratory, Hungarian Academy of Sciences

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: bronze

Funders: Harvard University, Hungarian Scientific Research Fund, National Institutes of Health, National Institute of General Medical Sciences

Awards: G6928218994, G9000246346