Lissajous dynamics of a quantum particle in a tilted two-dimensional discrete lattice

被引：0
|
作者：
Jaczewski, Grzegorz [1 ,2 ]
Sowinski, Tomasz [2 ]
机构：
[1] Univ Warsaw, Fac Phys, Ul Pasteura 5, PL-02093 Warsaw, Poland
[2] Polish Acad Sci, Inst Phys, Aleja Lotnikow 32-46, PL-02668 Warsaw, Poland
来源：
EUROPEAN PHYSICAL JOURNAL PLUS | 2024年 / 139卷 / 11期
关键词：
BLOCH OSCILLATIONS; COHERENT STATES; ELECTRONS;
D O I：
10.1140/epjp/s13360-024-05787-8
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The quantum dynamics of a single particle in a discrete two-dimensional tilted lattice is analyzed from the perspective of the classical-quantum correspondence. Utilizing the fact that tilting the lattice results in oscillatory dynamics, we show how the parameters of the lattice and the initial state of the particle can be tuned so that during evolution the probability distribution does not change its shape, while its center follows the trajectory known in classical mechanics as Lissajous curves.
引用
收藏
页数：8
相关论文
共 50 条
  • [1] Cyclotron-Bloch dynamics of a quantum particle in a two-dimensional lattice
    Kolovsky, Andrey R.
    Mantica, Giorgio
    PHYSICAL REVIEW E, 2011, 83 (04):
  • [2] Induced tunneling and localization for a quantum particle in tilted two-dimensional lattices
    Bulgakov, Evgeny N.
    Kolovsky, Andrey R.
    PHYSICAL REVIEW B, 2014, 89 (03):
  • [3] Realization of discrete quantum billiards in a two-dimensional optical lattice
    Krimer, Dmitry O.
    Khomeriki, Ramaz
    PHYSICAL REVIEW A, 2011, 84 (04):
  • [4] Dynamics of earthquake normal faulting: Two-dimensional lattice particle model
    Shi, BP
    Brune, JN
    Zeng, YH
    Anooshehpoor, A
    BULLETIN OF THE SEISMOLOGICAL SOCIETY OF AMERICA, 2003, 93 (03) : 1179 - 1197
  • [5] On the Discrete Spectrum of the Three-Particle Schrodinger Operator on a Two-Dimensional Lattice
    Muminov, Z. I.
    Aliev, N. M.
    Radjabov, T.
    LOBACHEVSKII JOURNAL OF MATHEMATICS, 2022, 43 (11) : 3239 - 3251
  • [6] Nonlinear dynamics of a two-dimensional lattice
    Chowdhury, ND
    Sanyal, SP
    PRAMANA-JOURNAL OF PHYSICS, 1995, 45 (05): : 377 - 384
  • [7] Two-Dimensional Discrete Gap Breathers in a Two-Dimensional Discrete Diatomic Klein-Gordon Lattice
    Xu Quan
    Qiang Tian
    CHINESE PHYSICS LETTERS, 2009, 26 (07)
  • [8] On the Discrete Spectrum of the Three-Particle Schrödinger Operator on a Two-Dimensional Lattice
    Z. I. Muminov
    N. M. Aliev
    T. Radjabov
    Lobachevskii Journal of Mathematics, 2022, 43 : 3239 - 3251
  • [9] A two-dimensional model for particle sedimentation in narrow tilted channels
    McCaffery, SJ
    Elliott, L
    Ingham, DB
    Unwin, AT
    1996 ICHEME RESEARCH EVENT - SECOND EUROPEAN CONFERENCE FOR YOUNG RESEARCHERS IN CHEMICAL ENGINEERING, VOLS 1 AND 2, 1996, : 427 - 429
  • [10] Two-Dimensional Breather Lattice Solutions and Compact-Like Discrete Breathers and Their Stability in Discrete Two-Dimensional Monatomic β-FPU Lattice
    XU Quan~(1
    Communications in Theoretical Physics, 2009, 51 (01) : 153 - 156
12345