A new perturbative expansion of the time evolution operator associated with a quantum system

Details A new perturbative expansion of the time evolution operator associated with a quantum system A new perturbative expansion of the time evolution operator associated with a quantum system

2005-08-02

arxiv.org/abs/quant-ph/0508017v1

J.Opt.B Quant.Semiclass.Opt. 7 (2005) S507-S522

Physics

Quantum Physics

32 pages; modified version with examples of my previous paper quant-ph/0404056; to appear on the J. of Optics B: Quantum and S

Scientific paper

10.1088/1464-4266/7/12/011

A novel expansion of the evolution operator associated with a -- in general, time-dependent -- perturbed quantum Hamiltonian is presented. It is shown that it has a wide range of possible realizations that can be fitted according to computational convenience or to satisfy specific requirements. As a remarkable example, the quantum Hamiltonian describing a laser-driven trapped ion is studied in detail.

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