Incompatibility of Time-Dependent Bogoliubov-de-Gennes and Ginzburg-Landau Equations

被引：7
|
作者：
Frank, Rupert L. [1 ]
Hainzl, Christian [2 ]
Schlein, Benjamin [3 ]
Seiringer, Robert [4 ]
机构：
[1] CALTECH, Math 253 37, Pasadena, CA 91125 USA
[2] Univ Tubingen, Inst Math, Morgenstelle 10, D-72076 Tubingen, Germany
[3] Univ Zurich, Inst Math, Winterthurerstr 190, CH-8057 Zurich, Switzerland
[4] IST Austria, Campus 1, A-3400 Klosterneuburg, Austria
来源：
LETTERS IN MATHEMATICAL PHYSICS | 2016年 / 106卷 / 07期
基金：
奥地利科学基金会; 美国国家科学基金会;
关键词：
superconductivity; quasi-free states; critical temperature; BCS theory; LOW-DENSITY LIMIT; CRITICAL-TEMPERATURE; FERMION PAIRS; BCS THEORY; SUPERCONDUCTIVITY; WEAK; CONDENSATION; DYNAMICS;
D O I：
10.1007/s11005-016-0847-5
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study the time-dependent Bogoliubov-de-Gennes equations for generic translation-invariant fermionic many-body systems. For initial states that are close to thermal equilibrium states at temperatures near the critical temperature, we show that the magnitude of the order parameter stays approximately constant in time and, in particular, does not follow a time-dependent Ginzburg-Landau equation, which is often employed as a phenomenological description and predicts a decay of the order parameter in time. The full non-linear structure of the equations is necessary to understand this behavior.
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页码：913 / 923
页数：11
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