Adiabatic Condition for Nonlinear Systems

Details Adiabatic Condition for Nonlinear Systems Adiabatic Condition for Nonlinear Systems

2006-05-23

arxiv.org/abs/quant-ph/0605202v1

Physics

Quantum Physics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.98.050406

We revisit the adiabatic criterion in stimulated Raman adiabatic passage for the three-level $\Lambda$-system, and compare the situation with and without nonlinearity. In linear systems, the adiabatic condition is derived with the help of the instantaneous eigenvalues and eigenstates of the Hamiltonian, a procedure that breaks down in the presence of nonlinearity. Using an explicit example relevant to photoassociation of atoms into diatomic molecules, we demonstrate that the proper way to derive the adiabatic condition for the nonlinear systems is through a linearization procedure.

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