A Solved Model to Show Insufficiency of Quantitative Adiabatic Condition  

作　　者：刘龙江 刘玉真 仝殿民 

机构地区：[1]Department of Physics, Shandong University, Ji'nan 250100

出　　处：《Chinese Physics Letters》2009年第3期17-20,共4页中国物理快报（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant Nos 10675076 and 10875072.

摘　　要：The adiabatic theorem is a useful tool in processing quantum systems slowly evolving, but its practical application depends on the quantitative condition expressed by Hamiltonian＇s eigenvalues and eigenstates, which is usually taken as a sufficient condition. Recently, the sufficiency of the condition was questioned, and several counterexamples have been reported. Here we present a new solved model to show the insufficiency of the traditional quantitative adiabatic condition.The adiabatic theorem is a useful tool in processing quantum systems slowly evolving, but its practical application depends on the quantitative condition expressed by Hamiltonian＇s eigenvalues and eigenstates, which is usually taken as a sufficient condition. Recently, the sufficiency of the condition was questioned, and several counterexamples have been reported. Here we present a new solved model to show the insufficiency of the traditional quantitative adiabatic condition.

分 类 号：O413.1[理学—理论物理]