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

共 44 条

[1] Off equilibrium dynamics in disordered quantum spin chain [J].

Abriet, S ;

Karevski, D .

EUROPEAN PHYSICAL JOURNAL B, 2002, 30 (01) :77-82

[2] Exact correlation amplitude for the S=1/2 Heisenberg antiferromagnetic chain [J].

Affleck, I .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (20) :4573-4581

[3] ANISOTROPIC FERROMAGNETIC QUANTUM DOMAINS [J].

ALCARAZ, FC ;

SALINAS, SR ;

WRESZINSKI, WF .

PHYSICAL REVIEW LETTERS, 1995, 75 (05) :930-933

[4] Nonequilibrium steady state in a quantum system: One-dimensional transverse ising model with energy current [J].

Antal, T ;

Racz, Z ;

Sasvari, L .

PHYSICAL REVIEW LETTERS, 1997, 78 (02) :167-170

[5] Transport in the XX chain at zero temperature:: Emergence of flat magnetization profiles [J].

Antal, T ;

Rácz, Z ;

Rákos, A ;

Schütz, GM .

PHYSICAL REVIEW E, 1999, 59 (05) :4912-4918

[6] Isotropic transverse XY chain with energy and magnetization currents [J].

Antal, T ;

Racz, Z ;

Rakos, A ;

Schutz, GM .

PHYSICAL REVIEW E, 1998, 57 (05) :5184-5189

[7] EXACT TIME-DEPENDENT ANALYSIS FOR ONE-DIMENSIONAL XY MODEL [J].

BAROUCH, E ;

DRESDEN, M .

PHYSICAL REVIEW LETTERS, 1969, 23 (03) :114-+

[8] Long-time tails and anomalous slowing down in the relaxation of spatially inhomogeneous excitations in quantum spin chains [J].

Berim, GO ;

Berim, SI ;

Cabrera, GG .

PHYSICAL REVIEW B, 2002, 66 (09) :1-12

[9] Shot noise in mesoscopic conductors [J].

Blanter, YM ;

Büttiker, M .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2000, 336 (1-2) :1-166

[10] Current fluctuations in nonequilibrium diffusive systems: An additivity principle [J].

Bodineau, T ;

Derrida, B .

PHYSICAL REVIEW LETTERS, 2004, 92 (18) :180601-1

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