Controlled quantum evolutions and transitions

Autor:	Fabrizio Illuminati, S. De Martino, S. De Siena, N. Cufaro Petroni
Rok vydání:	1999
Předmět:	Physics Quantum Physics Mixed states Anharmonicity General Physics and Astronomy FOS: Physical sciences Statistical and Nonlinear Physics Quantum state Quantum mechanics Quantum Physics (quant-ph) Quantum Mathematical Physics Harmonic oscillator Stationary state
DOI:	10.48550/arxiv.quant-ph/9910070
Popis:	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. Comment: 24 pages, 4 figures
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c40392483eeb0ba69bcb9953d6fb0fb7 Zobrazit plný text záznamu