Comment on "Quantitative Condition is Necessary in Guaranteeing the Validity of the Adiabatic Approximation" [arXiv:1004.3100]

Abstract

Recently, the authors of Ref.1[arXiv:1004.3100] claimed that they have proven the traditional adiabatic condition is a necessary condition. Here, it is claimed that there are some mistakes and an artificial over-strong constraint in [1], making its result inconvincible.

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References in corpus (2)

• The quantitative condition is necessary in guaranteeing the validity of the adiabatic approximation
• Adiabatic Condition and Quantum Geometric Potential

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• Oscillating potential well in complex plane and the adiabatic theorem
• A necessary condition for quantum adiabaticity applied to the adiabatic Grover search
• Validation of Quantum Adiabaticity through Non-Inertial Frames and Its Trapped-Ion Realization