Linearity and Quantum Adiabatic Theorem

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dc.creatorWei, Zhaohui
dc.creatorYing, Mingsheng
dc.date2007-01-19
dc.date2007-02-17
dc.date.accessioned2026-07-07T07:47:12Z
dc.date.available2026-07-07T07:47:12Z
dc.descriptionWe show that in a quantum adiabatic evolution, even though the adiabatic approximation is valid, the total phase of the final state indicated by the adiabatic theorem may evidently differ from the actual total phase. This invalidates the application of the linearity and the adiabatic approximation simultaneously. Besides, based on this observation we point out the mistake in the traditional proof for the adiabatic theorem. This mistake is the root of the troubles that the adiabatic theorem has met. We also show that a similar mistake remains in some recent modifications of the traditional adiabatic theorem attempting to eliminate the troubles.
dc.description4 pages, 1 figure. comments are welcome
dc.identifierhttps://arxiv.org/abs/quant-ph/0701135
dc.identifierhttp://arxiv.org/abs/quant-ph/0701135
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124085
dc.subjectQuantum Physics
dc.titleLinearity and Quantum Adiabatic Theorem
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