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Elementary Exponential Error Estimates for the Adiabatic Approximation

✍ Scribed by George A. Hagedorn; Alain Joye

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
101 KB
Volume
267
Category
Article
ISSN
0022-247X

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✦ Synopsis

We present an elementary proof that the quantum adiabatic approximation is correct up to exponentially small errors for Hamiltonians that depend analytically on the time variable. Our proof uses optimal truncation of a straightforward asymptotic expansion. We estimate the terms of the expansion with standard Cauchy estimates.

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