arXiv:0805.0350

Accuracy of the quantum adiabatic theorem in its original form

Andrew Das Arulsamy

Published May 5, 2008• 1 citation

Abstract

An explicit proof is developed to reinforce the accuracy of the quantum adiabatic theorem in its original form without any inconsistency and/or violation. Based on this proof, we discuss physical implications that give rise to the violation of the quantum adiabatic approximation. We show that such a violation can be obtained if and only if one violates the adiabatic criterion itself or due to the existence of degeneracy at a later time. Subsequently, comparison of our proof with respect to other recently developed proofs and counter-examples are analyzed and discussed.

DOI: 10.48550/arxiv.0805.0350

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