Stochastic Properties of Interacting Quantum Fields

Hünkar Kayhan, Aliekber Aktağ, Güllü Elik +1 more

In this study, we continue to consider stochastic processes in the atom‐field interaction for two atoms‐two fields interaction subject to random phase telegraph noise. An exact solution to the system is obtained by Jaynes‐Cumming Model to study the entanglement properties of the three‐partite entanglement of two atoms‐field sub‐system. The fidelity is adopted to evaluate the entanglement properties. We observe that two atoms‐field subsystem interaction does not entangle under the noise.

C. V. Heer

T. M. Samols

Denis V. Juriev

This paper contains a summary of mathematical researches of stochastic properties of the long time behavior of a continuously observed (and interactively controlled) quantum--field top. Applications to interactively controlled stochastic computer-graphic dynamical systems are also discussed.

N. G. van Kampen

Luis de la Peña, Ana Marı́a Cetto

In this chapter, which covers part of the course given at ELAF, a straight-forward procedure is presented that leads from the basic postulates of stochastic electrodynamics to the usual formalism of quantum theory. The theory thus developed is called linear stochastic electrodynamics, to underline that one of its basic features is the (asymptotic) linear response of atomic systems to the background field. The chapter starts with a brief discussion of some open questions in quantum theory and of the possibility to find an answer to them by resorting to the zeropoint radiation field as the source of the quantum behavior of matter. The basic properties of this field are discussed, and a brief enumeration is made of some of the positive results and vital shortcomings of standard stochastic electrodynamics. After identifying the source of these shortcomings in the assumption that the background field is not altered by its interaction with matter, linear stochastic electrodynamics is developed and shown to lead, under certain approximations, to a consistent picture of both matter and field quantization. In the concluding part, it is shown that also the electron spin can be considered to be generated by the interaction of the particle with the zeropoint field; in particular, the two-valuedness of the spin projection is associated with the existence of just two independent states of polarization of the field.