DYNAMICAL LOCALIZATION OF RANDOM QUANTUM WALKS ON THE LATTICE

被引:0
|
作者
Joye, A. [1 ]
机构
[1] UJF Grenoble 1, CNRS Inst Fourier, UMR 5582, F-38402 Grenoble, France
关键词
Quantum walk; random environment; dynamical localization; fractional moments method; LARGE DISORDER; SPACE; MODEL;
D O I
暂无
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
This note describes recent results on the localization properties of Random Quantum Walks on the d-dimensional lattice in a regime analogous to the large disorder regime by means of the Fractional Moments Method adapted to the unitary framework.
引用
收藏
页码:486 / 494
页数:9
相关论文
共 50 条
  • [41] Quantum walks on a random environment
    Yin, Yue
    Katsanos, D. E.
    Evangelou, S. N.
    PHYSICAL REVIEW A, 2008, 77 (02):
  • [42] Open Quantum Random Walks
    S. Attal
    F. Petruccione
    C. Sabot
    I. Sinayskiy
    Journal of Statistical Physics, 2012, 147 : 832 - 852
  • [43] QUANTUM RANDOM-WALKS
    ACCARDI, L
    WATSON, GS
    LECTURE NOTES IN MATHEMATICS, 1989, 1396 : 73 - 88
  • [44] Hyperfinite quantum random walks
    Gudder, S
    CHAOS SOLITONS & FRACTALS, 1996, 7 (05) : 669 - 679
  • [45] Open Quantum Random Walks
    Attal, S.
    Petruccione, F.
    Sabot, C.
    Sinayskiy, I.
    JOURNAL OF STATISTICAL PHYSICS, 2012, 147 (04) : 832 - 852
  • [46] Quantum Random Walks and Thermalisation
    Belton, Alexander C. R.
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2010, 300 (02) : 317 - 329
  • [47] QUANTUM RANDOM-WALKS
    AHARONOV, Y
    DAVIDOVICH, L
    ZAGURY, N
    PHYSICAL REVIEW A, 1993, 48 (02): : 1687 - 1690
  • [48] On algebraic and quantum random walks
    Ellinas, D
    QUANTUM PROBABILITY AND INFINITE DIMENSIONAL ANALYSIS, 2005, 18 : 174 - 200
  • [49] Aperiodic quantum random walks
    Ribeiro, P
    Milman, P
    Mosseri, R
    PHYSICAL REVIEW LETTERS, 2004, 93 (19) : 190503 - 1
  • [50] Localization for controlled random walks and martingales
    Gurel-Gurevich, Ori
    Peres, Yuval
    Zeitouni, Ofer
    ELECTRONIC COMMUNICATIONS IN PROBABILITY, 2014, 19 : 1 - 8