Nonlinear Description of Quantum Dynamics. N-level quantum systems

Autor:	Giuseppe Marmo, Dieter Schuch, Hans Cruz-Prado
Rok vydání:	2020
Předmět:	Physics History Nonlinear system Quantum dynamics Quantum mechanics Quantum Computer Science Applications Education
Zdroj:	Journal of Physics: Conference Series. 1612:012010
ISSN:	1742-6596 1742-6588
Popis:	In this work a nonlinear evolution of pure states of a finite dimensional quantum system is introduced, in particular a Riccati evolution equation. It is shown how this class of dynamics is actually a Hamiltonian dynamics in the complex projective space. In this projective space it is shown that there is a nonlinear superposition rule, consistent with its linear counterpart in the Hilbert space. As an example, the developed nonlinear formalism is applied to the semiclassical Jaynes–Cummings model.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5168827fddfd18d71f7e82e90965142e https://doi.org/10.1088/1742-6596/1612/1/012010 Zobrazit plný text záznamu