Please use this identifier to cite or link to this item: http://hdl.handle.net/10497/17198
Title: Sufficiency criterion for the validity of the adiabatic approximation
Authors: Tong, D. M.
Singh, K.
Kwek, Leong Chuan
Oh, Choo Hiap
Issue Date: 2007
Citation: Tong, D. M., Singh, K., Kwek, L. C., & Oh, C. H. (2007). Sufficiency criterion for the validity of the adiabatic approximation. Physical Review Letters, 98(15), 150402.
Abstract: We examine the quantitative condition which has been widely used as a criterion for the adiabatic approximation but was recently found insufficient. Our results indicate that the usual quantitative condition is sufficient for a special class of quantum mechanical systems. For general systems, it may not be sufficient, but it along with additional conditions is sufficient. The usual quantitative condition and the additional conditions constitute a general criterion for the validity of the adiabatic approximation, which is applicable to all N−dimensional quantum systems. Moreover, we illustrate the use of the general quantitative criterion in some physical models.
Description: This is the original draft, prior to peer-review, of a manuscript published in Physical Review Letters. The published version is available online at http://dx.doi.org/10.1103/PhysRevLett.98.150402
URI: http://hdl.handle.net/10497/17198
ISSN: 0031-9007
Other Identifiers: 10.1103/PhysRevLett.98.150402
Appears in Collections:Journal Articles

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