Markovian evolution of Gaussian states in the semiclassical limit

Autor:	Brodier, O., de Almeida, A. M. Ozorio
Rok vydání:	2008
Předmět:	Quantum Physics
Druh dokumentu:	Working Paper
Popis:	We derive an approximate Gaussian solution of the Lindblad equation in the semiclassical limit, given a general Hamiltonian and linear coupling with the environment. The theory is carried out in the chord representation and describes the evolved quantum characteristic function, which gives direct access to the Wigner function and the position representation of the density operator by Fourier transforms. The propagation is based on a system of non-linear equations taking place in a double phase space, which coincides with Heller's theory of unitary evolution of Gaussian wave packets when the Lindbladian part is zero. Comment: 10 pages. Reason for replacement: the article was split into two parts: the first part about WKB was incomplete and led to an other article; the second part about Gaussian states remains in this replaced version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0808.2258 Zobrazit plný text záznamu View this record from Arxiv