Mean-field quantum dynamics for a mixture of Bose-Einstein condensates

被引：22
|
作者：
Michelangeli, Alessandro [1 ]
Olgiati, Alessandro [1 ]
机构：
[1] SISSA, Int Sch Adv Studies, Via Bonomea 265, I-34136 Trieste, Italy
来源：
ANALYSIS AND MATHEMATICAL PHYSICS | 2017年 / 7卷 / 04期
关键词：
Effective evolution equations; Many-body quantum dynamics; Mixture condensate; Partial trace; Reduced density matrix; Mean-field scaling; Hartree equation; Coupled non-linear Schrodinger equations;
D O I：
10.1007/s13324-016-0147-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the effective time evolution of a large quantum system consisting of a mixture of different species of identical bosons in interaction. If the system is initially prepared so as to exhibit condensation in each component, we prove that condensation persists at later times and we show quantitatively that the many-body Schrodinger dynamics is effectively described by a system of coupled cubic non-linear Schrodinger equations, one for each component.
引用
收藏
页码：377 / 416
页数：40
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