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.
Abstract：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.
LIU Long-Jiang;LIU Yu-Zhen;TONG Dian-Min. A Solved Model to Show Insufficiency of Quantitative Adiabatic Condition[J]. 中国物理快报, 2009, 26(3): 30302-030302.
LIU Long-Jiang, LIU Yu-Zhen, TONG Dian-Min. A Solved Model to Show Insufficiency of Quantitative Adiabatic Condition. Chin. Phys. Lett., 2009, 26(3): 30302-030302.
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2009, Vol. 26 
