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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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| Cite this article: |
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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.
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| Keywords:
03.65.Ta
03.65.Vf
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Received: 22 December 2008
Published: 19 February 2009
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| PACS: |
03.65.Ta
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(Foundations of quantum mechanics; measurement theory)
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03.65.Vf
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(Phases: geometric; dynamic or topological)
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