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
  • [1] Localization of solitons: linear response of the mean-field ground state to weak external potentials
    C. A. Müller
    Applied Physics B, 2011, 102 : 459 - 467
  • [2] Phase diagram in an external magnetic field beyond a mean-field approximation
    Skokov, V.
    PHYSICAL REVIEW D, 2012, 85 (03):
  • [3] Stability of inhomogeneous states in mean-field models with an external potential
    Bachelard, R.
    Staniscia, F.
    Dauxois, T.
    De Ninno, G.
    Ruffo, S.
    JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2011,
  • [4] Mean-field analog of the Hong-Ou-Mandel experiment with bright solitons
    Sun, Zhi-Yuan
    Kevrekidis, Panayotis G.
    Krueger, Peter
    PHYSICAL REVIEW A, 2014, 90 (06):
  • [5] Full distribution of the ground-state energy of potentials with weak disorder
    Smith, Naftali R.
    PHYSICAL REVIEW E, 2024, 110 (06)
  • [6] Balancing long-range interactions and quantum pressure: Solitons in the Hamiltonian mean-field model
    Plestid, Ryan
    O'Delll, D. H. J.
    PHYSICAL REVIEW E, 2019, 100 (02)
  • [7] Forward approximation as a mean-field approximation for the Anderson and many-body localization transitions
    Pietracaprina, Francesca
    Ros, Valentina
    Scardicchio, Antonello
    PHYSICAL REVIEW B, 2016, 93 (05)
  • [8] Constraining mean-field models of the nuclear matter equation of state at low densities
    Voskresenskaya, M. D.
    Typel, S.
    NUCLEAR PHYSICS A, 2012, 887 : 42 - 76
  • [9] Ground-state properties of the disordered spin-1 Bose-Hubbard model: A stochastic mean-field theory study
    Warnes, Jesus Herazo
    Miranda, Eduardo
    PHYSICAL REVIEW B, 2012, 85 (21)
  • [10] THE MEAN-FIELD APPROXIMATION AND THE NON-LINEAR SCHRODINGER FUNCTIONAL FOR TRAPPED BOSE GASES
    Lewin, Mathieu
    Phan Thanh Nam
    Rougerie, Nicolas
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 368 (09) : 6131 - 6157
123