Quantum Many-Body Fluctuations Around Nonlinear Schrodinger Dynamics

被引：45
作者：
Boccato, Chiara [1 ]
Cenatiempo, Serena [1 ]
Schlein, Benjamin [1 ]
机构：
[1] Univ Zurich, Inst Math, Winterthurerstr 190, CH-8057 Zurich, Switzerland
来源：
ANNALES HENRI POINCARE | 2017年 / 18卷 / 01期
基金：
瑞士国家科学基金会;
关键词：
BOSE-EINSTEIN CONDENSATE; GROSS-PITAEVSKII EQUATION; MEAN-FIELD APPROXIMATION; CENTRAL-LIMIT-THEOREM; RIGOROUS DERIVATION; INTERACTING BOSONS; EXCITATION SPECTRUM;
D O I：
10.1007/s00023-016-0513-6
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider the many-body quantum dynamics of systems of bosons interacting through a two-body potential , scaling with the number of particles N. For , we obtain a norm-approximation of the evolution of an appropriate class of data on the Fock space. To this end, we need to correct the evolution of the condensate described by the one-particle nonlinear Schrodinger equation by means of a fluctuation dynamics, governed by a quadratic generator.
引用
收藏
页码：113 / 191
页数：79
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