Quantum theory of open systems based on stochastic differential equations of generalized Langevin (non-Wiener) type

Journal Article · Sat Sep 15 04:00:00 EDT 2012 · Journal of Experimental and Theoretical Physics

DOI:https://doi.org/10.1134/S1063776112070035· OSTI ID:22069352

It is shown that the effective Hamiltonian representation, as it is formulated in author's papers, serves as a basis for distinguishing, in a broadband environment of an open quantum system, independent noise sources that determine, in terms of the stationary quantum Wiener and Poisson processes in the Markov approximation, the effective Hamiltonian and the equation for the evolution operator of the open system and its environment. General stochastic differential equations of generalized Langevin (non-Wiener) type for the evolution operator and the kinetic equation for the density matrix of an open system are obtained, which allow one to analyze the dynamics of a wide class of localized open systems in the Markov approximation. The main distinctive features of the dynamics of open quantum systems described in this way are the stabilization of excited states with respect to collective processes and an additional frequency shift of the spectrum of the open system. As an illustration of the general approach developed, the photon dynamics in a single-mode cavity without losses on the mirrors is considered, which contains identical intracavity atoms coupled to the external vacuum electromagnetic field. For some atomic densities, the photons of the cavity mode are 'locked' inside the cavity, thus exhibiting a new phenomenon of radiation trapping and non-Wiener dynamics.

• OSTI ID: 22069352
• Journal Information: Journal of Experimental and Theoretical Physics, Journal Name: Journal of Experimental and Theoretical Physics Journal Issue: 3 Vol. 115; ISSN JTPHES; ISSN 1063-7761
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
APPROXIMATIONS
DENSITY MATRIX
DIFFERENTIAL EQUATIONS
ELECTROMAGNETIC FIELDS
EXCITED STATES
HAMILTONIANS
KINETIC EQUATIONS
MARKOV PROCESS
MIRRORS
PHOTONS
QUANTUM MECHANICS
QUANTUM OPERATORS
TRAPPING