CONTINUUM-LIMIT, GALILEAN INVARIANCE, AND SOLITONS IN THE QUANTUM EQUIVALENT OF THE NOISY BURGERS-EQUATION

被引：40

作者：

FOGEDBY, HC ^{[1
]}

ERIKSSON, AB ^{[1
]}

MIKHEEV, LV ^{[1
]}

机构：

[1] NORDITA,DK-2100 COPENHAGEN 0,DENMARK

来源：

PHYSICAL REVIEW LETTERS | 1995年 / 75卷 / 10期

关键词：

D O I：

10.1103/PhysRevLett.75.1883

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A continuum limit of the non-Hermitian spin-1/2 chain, conjectured recently to belong to the universality class of the noisy Burgers or, equivalently, Kardar-Parisi-Zhang equation, is obtained and analyzed. The Galilean invariance of the Burgers equation is explicitly realized in the operator algebra. In the quasiclassical limit we find nonlinear soliton excitations exhibiting the omega proportional to k(z) dispersion relation with dynamical exponent z = 3/2.

引用

页码：1883 / 1886

页数：4

共 22 条

[1]

[Anonymous], 1987, PHASE TRANSITIONS CR

[2]

Burgers JM., 1974, NONLINEAR DIFFUSION, DOI DOI 10.1007/978-94-010-1745-9

[3]

DHAR D, 1987, PHASE TRANSIT, V9, P51, DOI 10.1080/01411598708241334

[4] CLASSICAL AND QUANTUM ASPECTS OF THE CONTINUOUS HEISENBERG CHAIN AT T=0 [J].