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Theory of controlled quantum dynamics

Salvatore De Martino·Silvio De Siena·Fabrizio Illuminati
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Abstract

We introduce a general formalism, based on the stochastic formulation of quantum mechanics, to obtain localized quasi-classical wave packets as dynamically controlled systems, for arbitrary anharmonic potentials. The control is in general linear, and it amounts to introduce additional quadratic and linear time-dependent terms to the given potential. In this way one can construct for general systems either coherent packets moving with constant dispersion, or dynamically squeezed packets whose spreading remains bounded for all times. In the standard operatorial framework our scheme corresponds to a suitable generalization of the displacement and scaling operators that generate the coherent and squeezed states of the harmonic oscillator.

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Salvatore De Martino, Silvio De Siena, Fabrizio Illuminati. 1997-02-20. Theory of controlled quantum dynamics. https://doi.org/10.1088/0305-4470/30/11/035

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