Closed hierarchy of correlations in Markovian open quantum systems

Autor: Bojan Žunkovič
Jazyk: angličtina
Rok vydání: 2014
Předmět:
Zdroj: New Journal of Physics, Vol 16, Iss 1, p 013042 (2014)
Druh dokumentu: article
ISSN: 1367-2630
DOI: 10.1088/1367-2630/16/1/013042
Popis: We study the Lindblad master equation in the space of operators and provide simple criteria for closeness of the hierarchy of equations for correlations. We separately consider the time evolution of closed and open systems and show that open systems satisfying the closeness conditions are not necessarily of Gaussian type. In addition, we show that dissipation can induce the closeness of the hierarchy of correlations in interacting quantum systems. As an example we study an interacting optomechanical model, the Fermi–Hubbard model, and the Rabi model, all coupled to a fine-tuned Markovian environment and obtain exact analytic expressions for the time evolution of two-point correlations.
Databáze: Directory of Open Access Journals