Physics – Quantum Physics
Scientific paper
1999-10-15
J. Phys. A 32, 7489-7508 (1999)
Physics
Quantum Physics
24 pages, 4 figures
Scientific paper
10.1088/0305-4470/32/43/305
We study the nonstationary solutions of Fokker-Planck equations associated to either stationary or nonstationary quantum states. In particular we discuss the stationary states of quantum systems with singular velocity fields. We introduce a technique that allows to realize arbitrary evolutions ruled by these equations, to account for controlled quantum transitions. The method is illustrated by presenting the detailed treatment of the transition probabilities and of the controlling time-dependent potentials associated to the transitions between the stationary, the coherent, and the squeezed states of the harmonic oscillator. Possible extensions to anharmonic systems and mixed states are briefly discussed and assessed.
de Martino Salvatore
Illuminati Fabrizio
Petroni Nicola Cufaro
Siena Silvio de
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