Chin. Phys. Lett.  2009, Vol. 26 Issue (3): 030302    DOI: 10.1088/0256-307X/26/3/030302
GENERAL |
A Solved Model to Show Insufficiency of Quantitative Adiabatic Condition
LIU Long-Jiang, LIU Yu-Zhen, TONG Dian-Min
Department of Physics, Shandong University, Ji'nan 250100
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LIU Long-Jiang, LIU Yu-Zhen, TONG Dian-Min 2009 Chin. Phys. Lett. 26 030302
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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.
Keywords: 03.65.Ta      03.65.Vf     
Received: 22 December 2008      Published: 19 February 2009
PACS:  03.65.Ta (Foundations of quantum mechanics; measurement theory)  
  03.65.Vf (Phases: geometric; dynamic or topological)  
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https://cpl.iphy.ac.cn/10.1088/0256-307X/26/3/030302       OR      https://cpl.iphy.ac.cn/Y2009/V26/I3/030302
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LIU Long-Jiang
LIU Yu-Zhen
TONG Dian-Min
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