Validity of Quantum Adiabatic Theorem

Details Validity of Quantum Adiabatic Theorem Validity of Quantum Adiabatic Theorem

2004-10-15

arxiv.org/abs/quant-ph/0410118v2

Physics

Quantum Physics

Reference [6] has been published as "Phys. Rev. Lett. 93, 160408(2004)" recently. It was quoted as "quant-ph/0404022 v6"

Scientific paper

The consistency of quantum adiabatic theorem has been doubted recently. It is shown in the present paper that the difference between the adiabatic solution and the exact solution to the Schrodinger equation with a slowly changing driving Hamiltonian is small; while the difference between their time derivatives is not small. This explains why substituting the adiabatic solution back into Schrodinger equation leads to "inconsisitency" of the adiabatic theorem. Physics is determined completely by the state vector, and not by its time drivative. Therefore the quantum adiabatic theorem is physically correct.

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