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- W2079689316 abstract "A class of exact analytic solutions of the time-dependent Schrequation is presented for a two-state quantum system coherently driven by a nonresonant external field. The coupling is a linear function of time with a finite duration and the detuning is constant. Four special models are considered in detail, namely the shark, double-shark, tent and zigzag models. The exact solution is derived by rotation of the Landau-Zener propagator at an angle of π/4 and is expressed in terms of Weber's parabolic cylinder function. Approximations for the transition probabilities are derived for all four models by using the asymptotics of the Weber function; these approximations demonstrate various effects of physical interest for each model." @default.
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- W2079689316 date "2008-04-02" @default.
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- W2079689316 title "Exactly soluble two-state quantum models with linear couplings" @default.
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- W2079689316 doi "https://doi.org/10.1088/1751-8113/41/15/155309" @default.
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