Adiabatic theorems for linear and nonlinear Hamiltonians
- 22 May 2009
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 79 (5), 052117
- https://doi.org/10.1103/physreva.79.052117
Abstract
Conditions for the validity of the quantum adiabatic approximation are analyzed. For the case of linear Hamiltonians, a simple and general sufficient condition is derived, which is valid for arbitrary spectra and any kind of time variation. It is shown that in some cases the found condition is necessary and sufficient. The adiabatic theorem is generalized for the case of nonlinear Hamiltonians.Keywords
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