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RESEARCH PRODUCT
Driven harmonic oscillators in the adiabatic Magnus approximation
S. KlarsfeldJ. A. Oteosubject
Physics[PHYS.NUCL]Physics [physics]/Nuclear Theory [nucl-th]Time evolution01 natural sciencesAtomic and Molecular Physics and Optics010305 fluids & plasmasAdiabatic theoremsymbols.namesakeClassical mechanicsQuantum harmonic oscillatorMagnus expansionQuantum mechanics0103 physical sciencessymbols010306 general physicsAdiabatic processHamiltonian (quantum mechanics)Eigenvalues and eigenvectorsHarmonic oscillatordescription
The time evolution of driven harmonic oscillators is determined by applying the Magnus expansion in the basis set of instantaneous eigenstates of the total Hamiltonian. It is shown that the first-order approximation already provides transition probabilities close to the exact values even in the intermediate regime.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1993-03-01 | Physical Review A |