Exponential decay of the number of excitations in the weakly interacting Bose gas

被引:1
|
作者
Mitrouskas, David [1 ]
Pickl, Peter [2 ]
机构
[1] Inst Sci & Technol Austria ISTA, Campus 1, A-3400 Klosterneuburg, Austria
[2] Univ Tubingen, Fachbereich Math, Morgenstelle 10, D-72076 Tubingen, Germany
关键词
PITAEVSKII; SPECTRUM; BOSONS; STATES;
D O I
10.1063/5.0172199
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We consider N trapped bosons in the mean-field limit with coupling constant lambda N = 1/(N - 1). The ground state of such systems exhibits Bose-Einstein condensation. We prove that the probability of finding l particles outside the condensate wave function decays exponentially in l.
引用
收藏
页数:10
相关论文
共 39 条
  • [1] The Beliaev technique for a weakly interacting Bose gas
    Capogrosso-Sansone, B.
    Giorgini, S.
    Pilati, S.
    Pollet, L.
    Prokof'ev, N.
    Svistunov, B.
    Troyer, M.
    NEW JOURNAL OF PHYSICS, 2010, 12
  • [2] Emergent Pauli Blocking in a Weakly Interacting Bose Gas
    Cataldini, Federica
    Moller, Frederik
    Tajik, Mohammadamin
    Sabino, Joao
    Ji, Si-Cong
    Mazets, Igor
    Schweigler, Thomas
    Rauer, Bernhard
    Schmiedmayer, Joerg
    PHYSICAL REVIEW X, 2022, 12 (04)
  • [3] Dynamics of a Tracer Particle Interacting with Excitations of a Bose-Einstein
    Lampart, Jonas
    Pickl, Peter
    ANNALES HENRI POINCARE, 2022, 23 (08): : 2855 - 2876
  • [4] Low-energy spectrum and dynamics of the weakly interacting Bose gas
    Bossmann, Lea
    JOURNAL OF MATHEMATICAL PHYSICS, 2022, 63 (06)
  • [5] Superfluid to Bose-Glass Transition in a 1D Weakly Interacting Bose Gas
    Fontanesi, Luca
    Wouters, Michiel
    Savona, Vincenzo
    PHYSICAL REVIEW LETTERS, 2009, 103 (03)
  • [6] Dispersion Law for a One-Dimensional Weakly Interacting Bose Gas with Zero Boundary Conditions
    Tomchenko, Maksim
    JOURNAL OF LOW TEMPERATURE PHYSICS, 2024, 216 (3-4) : 483 - 498
  • [7] Decay of Bogoliubov excitations in one-dimensional Bose gases
    Ristivojevic, Zoran
    Matveev, K. A.
    PHYSICAL REVIEW B, 2016, 94 (02)
  • [8] Nonperturbative thermodynamics of an interacting Bose gas
    Floerchinger, S.
    Wetterich, C.
    PHYSICAL REVIEW A, 2009, 79 (06):
  • [9] The interacting Bose gas: A continuing challenge
    Yngvason, Jakob
    PHYSICS OF PARTICLES AND NUCLEI, 2010, 41 (06) : 880 - 884
  • [10] Large Deviations for the Ground State of Weakly Interacting Bose Gases
    Rademacher, Simone
    ANNALES HENRI POINCARE, 2024, : 1239 - 1289