Adiabatic theorems for linear and nonlinear Hamiltonians

Details Adiabatic theorems for linear and nonlinear Hamiltonians Adiabatic theorems for linear and nonlinear Hamiltonians

2009-05-25

arxiv.org/abs/0905.3990v1

Phys. Rev. A 79 (2009) 052117-7

Physics

Quantum Physics

Scientific paper

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.

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