Time Averaged Quantum Dynamics and the Validity of the Effective Hamiltonian Model

Details Time Averaged Quantum Dynamics and the Validity of the Effective Hamiltonian Model Time Averaged Quantum Dynamics and the Validity of the Effective Hamiltonian Model

2010-07-11

arxiv.org/abs/1007.1789v2

Physics

Quantum Physics

7 pages, 2 figures

Scientific paper

10.1103/PhysRevA.82.052106

We develop a technique for finding the dynamical evolution in time of an averaged density matrix. The result is an equation of evolution that includes an Effective Hamiltonian, as well as decoherence terms in Lindblad form. Applying the general equation to harmonic Hamiltonians, we confirm a previous formula for the Effective Hamiltonian together with a new decoherence term which should in general be included, and whose vanishing provides the criteria for validity of the Effective Hamiltonian approach. Finally, we apply the theory to examples of the AC Stark Shift and Three- Level Raman Transitions, recovering a new decoherence effect in the latter.

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