Adiabatic theorems for linear and nonlinear Hamiltonians
Quantum Physics
2015-05-13 v1 Quantum Gases
High Energy Physics - Phenomenology
Mathematical Physics
math.MP
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
Cite
@article{arxiv.0905.3990,
title = {Adiabatic theorems for linear and nonlinear Hamiltonians},
author = {V. I. Yukalov},
journal= {arXiv preprint arXiv:0905.3990},
year = {2015}
}