Logarithmic current fluctuations in nonequilibrium quantum spin chains

被引：75

作者：

Antal, T. ^{[1
]}

Krapivsky, P. L. ^{[2
,3
,4
]}

Rakos, A. ^{[5
]}

机构：

[1] Harvard Univ, Program Evolutionary Dynam, Cambridge, MA 02138 USA

[2] Boston Univ, Dept Phys, Boston, MA 02215 USA

[3] Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA

[4] Los Alamos Natl Lab, Ctr Nonlinear Studies, Los Alamos, NM 87545 USA

[5] Hungarian Acad Sci, Res Grp Condensed Matter Phys, H-1111 Budapest, Hungary

来源：

PHYSICAL REVIEW E | 2008年 / 78卷 / 06期

关键词：

current fluctuations; spin systems;

D O I：

10.1103/PhysRevE.78.061115

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

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.

引用

页数：8

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