A perturbative expansion of the evolution operator associated with time-dependent quantum Hamiltonians

Details A perturbative expansion of the evolution operator associated with time-dependent quantum Hamiltonians A perturbative expansion of the evolution operator associated with time-dependent quantum Hamiltonians

2004-04-09

arxiv.org/abs/quant-ph/0404056v1

Physics

Quantum Physics

34 pages, no figures

Scientific paper

A novel expansion -- which generalizes Magnus expansion -- of the evolution
operator associated with a (in general, time-dependent) perturbed Hamiltonian
is introduced. It is shown that it has a wide range of possible solutions that
can be fitted according to computational convenience. The time-independent and
the adiabatic case are studied in detail.

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