Anderson localization in the time domain

被引:36
作者
Sacha, Krzysztof [1 ,2 ]
Delande, Dominique [3 ]
机构
[1] Uniwersytet Jagiellonski, Inst Fiz Imienia Mariana Smoluchowskiego, Ulica Prof Stanislawa Lojasiewicza 11, PL-30348 Krakow, Poland
[2] Uniwersytet Jagiellonski, Mark Kac Complex Syst Res Ctr, Ulica Prof Stanislawa Lojasiewicza 11, PL-30348 Krakow, Poland
[3] PSL Res Univ, Sorbonne Univ, Univ Paris 06, Lab Kastler Brossel,CNRS,ENS,Coll France, 4 Pl Jussieu, F-75005 Paris, France
关键词
QUANTUM; TRANSITION; DIFFUSION; LATTICES; ABSENCE;
D O I
10.1103/PhysRevA.94.023633
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
In analogy with the usual Anderson localization taking place in time-independent disordered quantum systems where the disorder acts in configuration space, systems exposed to temporally disordered potentials can display Anderson localization in the time domain. We demonstrate this phenomenon with one-dimensional examples where a temporally disordered potential induces localization during the quantum evolution of wave packets, in contrast with a fully delocalized classical dynamics. This is an example of a time crystal phenomenon, i.e., a crystalline behavior in the time domain.
引用
收藏
页数:6
相关论文
共 50 条
  • [1] Anderson localization and Mott insulator phase in the time domain
    Sacha, Krzysztof
    SCIENTIFIC REPORTS, 2015, 5
  • [2] Anderson localization in atomic mixtures
    Ziegler, K.
    Fialko, O.
    14TH INTERNATIONAL CONFERENCE ON TRANSPORT IN INTERACTING DISORDERED SYSTEMS (TIDS-14), 2012, 376
  • [3] Anderson localization in correlated fermionic mixtures
    Fialko, O.
    Ziegler, K.
    EPL, 2009, 85 (06)
  • [4] Singular Behavior of Eigenstates in Anderson's Model of Localization
    Johri, S.
    Bhatt, R. N.
    PHYSICAL REVIEW LETTERS, 2012, 109 (07)
  • [5] NUMERICAL SIMULATION OF ANDERSON LOCALIZATION
    Sepehrinia, Reza
    Sheikhan, Ameneh
    COMPUTING IN SCIENCE & ENGINEERING, 2011, 13 (03) : 74 - 82
  • [6] MATHEMATICAL ASPECTS OF ANDERSON LOCALIZATION
    Spencer, Thomas
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2010, 24 (12-13): : 1621 - 1639
  • [7] Fifty years of Anderson localization
    Lagendijk, Ad
    van Tiggelen, Bart
    Wiersma, Diederik S.
    PHYSICS TODAY, 2009, 62 (08) : 24 - 29
  • [8] Anderson complexes: Bound states of atoms due to Anderson localization
    Matus, Pawel
    Giergiel, Krzysztof
    Sacha, Krzysztof
    PHYSICAL REVIEW A, 2021, 103 (02)
  • [9] Three-Dimensional Localized-Delocalized Anderson Transition in the Time Domain
    Delande, Dominique
    Morales-Molina, Luis
    Sacha, Krzysztof
    PHYSICAL REVIEW LETTERS, 2017, 119 (23)
  • [10] Anderson localization in a two-dimensional random gap model
    Hill, A.
    Ziegler, K.
    PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2014, 56 : 172 - 176