Quantum many-body interactions in the presence of disordered potentials

被引:0
作者
Ogul, Riza [1 ]
机构
[1] Selcuk Univ, Dept Phys, Fac Sci, Konya, Turkey
来源
TURKISH JOURNAL OF PHYSICS | 2018年 / 42卷 / 02期
关键词
Quantum kinetics; density matrices; disordered potentials; mean field;
D O I
10.3906/fiz-1710-18
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The time evolution of the quantum nonequilibrium states of many-body particles is described with a set of hierarchies of quantum kinetic equations with quantum wave functions. A collision term is obtained in terms of two-body interactions in the mean-field with a disordered potential, which is proposed for the first time. The implications and the limits of applicability of the resulting kinetic equations are discussed.
引用
收藏
页码:191 / 197
页数:7
相关论文
共 27 条
[1]  
Akkermans E., 2006, MESOSCOPIC PHYS ELEC
[2]   Breakdown of the superfluidity of a matter wave in a random environment [J].
Albert, M. ;
Paul, T. ;
Pavloff, N. ;
Leboeuf, P. .
PHYSICAL REVIEW A, 2010, 82 (01)
[3]   ABSENCE OF DIFFUSION IN CERTAIN RANDOM LATTICES [J].
ANDERSON, PW .
PHYSICAL REVIEW, 1958, 109 (05) :1492-1505
[4]   SEMICLASSICAL MECHANICS IN PHASE SPACE - STUDY OF WIGNERS FUNCTION [J].
BERRY, MV .
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1977, 287 (1343) :237-271
[5]   Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques [J].
Blakie, P. B. ;
Bradley, A. S. ;
Davis, M. J. ;
Ballagh, R. J. ;
Gardiner, C. W. .
ADVANCES IN PHYSICS, 2008, 57 (05) :363-455
[6]   Wave chaos in the nonequilibrium dynamics of the Gross-Pitaevskii equation [J].
Brezinova, Iva ;
Collins, Lee A. ;
Ludwig, Katharina ;
Schneider, Barry I. ;
Burgdoerfer, Joachim .
PHYSICAL REVIEW A, 2011, 83 (04)
[7]   QUANTUM COLLISION-THEORY WITH PHASE-SPACE DISTRIBUTIONS [J].
CARRUTHERS, P ;
ZACHARIASEN, F .
REVIEWS OF MODERN PHYSICS, 1983, 55 (01) :245-285
[8]  
FISHER MPA, 1989, PHYS REV B, V40, P546, DOI 10.1063/1.38820
[9]  
Gardiner C. W., 2004, QUANTUM NOISE
[10]   Quantum kinetic theory: A quantum kinetic master equation for condensation of a weakly interacting Bose gas without a trapping potential [J].
Gardiner, CW ;
Zoller, P .
PHYSICAL REVIEW A, 1997, 55 (04) :2902-2921