dorsal/arxiv
View SchemaValidity of Quantum Adiabatic Theorem
| Authors | Zhaoyan Wu, Hui Yang |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0410118 |
| URL | https://arxiv.org/abs/quant-ph/0410118 |
| DOI | 10.1103/PhysRevA.72.012114 |
Abstract
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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"abstract": "The consistency of quantum adiabatic theorem has been doubted recently. It is\nshown in the present paper that the difference between the adiabatic solution\nand the exact solution to the Schrodinger equation with a slowly changing\ndriving Hamiltonian is small; while the difference between their time\nderivatives is not small. This explains why substituting the adiabatic solution\nback into Schrodinger equation leads to \"inconsisitency\" of the adiabatic\ntheorem. Physics is determined completely by the state vector, and not by its\ntime drivative. Therefore the quantum adiabatic theorem is physically correct.",
"arxiv_id": "quant-ph/0410118",
"authors": [
"Zhaoyan Wu",
"Hui Yang"
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"quant-ph"
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"doi": "10.1103/PhysRevA.72.012114",
"title": "Validity of Quantum Adiabatic Theorem",
"url": "https://arxiv.org/abs/quant-ph/0410118"
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