Localization of solitons: linear response of the mean-field ground state to weak external potentials

被引：9
|
作者：
Mueller, C. A. [1 ]
机构：
[1] Natl Univ Singapore, Ctr Quantum Technol, Singapore 117543, Singapore
来源：
APPLIED PHYSICS B-LASERS AND OPTICS | 2011年 / 102卷 / 03期
基金：
新加坡国家研究基金会;
关键词：
ANDERSON LOCALIZATION; QUANTUM; PROPAGATION; SCATTERING; DISORDER; TRAPS; WAVES;
D O I：
10.1007/s00340-011-4425-3
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
Two aspects of bright matter-wave solitons in weak external potentials are discussed. First, we briefly review recent results on the Anderson localization of an entire soliton in disordered potentials, as a paradigmatic showcase of genuine quantum dynamics beyond simple perturbation theory. Second, we calculate the linear response of the mean-field soliton shape to a weak, but otherwise arbitrary, external potential, with a detailed application to lattice potentials.
引用
收藏
页码：459 / 467
页数：9
相关论文
共 25 条
  • [21] An adaptive Euler-Maruyama scheme for McKean-Vlasov SDEs with super-linear growth and application to the mean-field FitzHugh-Nagumo model
    Reisinger, Christoph
    Stockinger, Wolfgang
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 400
  • [22] Response of the Shockley surface state to an external electrical field: A density-functional theory study of Cu(111)
    Berland, K.
    Einstein, T. L.
    Hyldgaard, P.
    PHYSICAL REVIEW B, 2012, 85 (03)
  • [23] Understanding the nature of mean-field semiclassical light-matter dynamics: An investigation of energy transfer, electron-electron correlations, external driving, and long-time detailed balance
    Li, Tao E.
    Chen, Hsing-Ta
    Nitzan, Abraham
    Subotnik, Joseph E.
    PHYSICAL REVIEW A, 2019, 100 (06)
  • [24] Linear instability and nondegeneracy of ground state for combined power-type nonlinear scalar field equations with the Sobolev critical exponent and large frequency parameter
    Akahori, Takafumi
    Ibrahim, Slim
    Kikuchi, Hiroaki
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2020, 150 (05) : 2417 - 2441
  • [25] Magnetic Field Induced Orbital Polarization in Cubic YbInNi4: Determining the Quartet Ground State Using X-Ray Linear Dichroism
    Willers, T.
    Cezar, J. C.
    Brookes, N. B.
    Hu, Z.
    Strigari, F.
    Koerner, P.
    Hollmann, N.
    Schmitz, D.
    Bianchi, A.
    Fisk, Z.
    Tanaka, A.
    Tjeng, L. H.
    Severing, A.
    PHYSICAL REVIEW LETTERS, 2011, 107 (23)
123