Quantum Statistics of Linear and Nonlinear Optical Phenomena

Abstract

The quantum statistical properties of radiation represent an important branch of modern physics with rapidly increasing applications in spectroscopy, quantum generators of radiation, optical communication, etc. They have also an increasing role in fields other than pure physics, such as biophysics, psychophysics, biology, etc.The present monograph represents an extension and continuation of the previous monograph of this author entitled Coherence of Light (Van Nostrand Reinhold Company, London 1972, translated into Russian in the Publishing House Mir, Moscow 1974) and of a review chapter in Progress in Optics, Vol. 18 (E. Wolf (Ed.), North-Holland Publishing Company, Amsterdam 1980), published just recently.It applies the fundamental tools of the coherent-state technique, as described in Coherence of Light, to particular studies of the quantum statistical properties of radiation in its interaction with matter. In particular, nonlinear optical processes are considered, and purely quantum phenomena such as antibunching of photons are discussed. This book will be useful to research workers in the fields of quantum optics and electronics, quantum generators, optical communication and solid-state physics, as well as to students of physics, optical engineering and opto-electronics.It is a great pleasure for me to thank sincerely many people who have teen engaged in this research or supported it for many years. I wish to thank Professor B. Havelka, the founder of the Laboratory of Optics of Palacky University in Olomouc, for his support, and my co-workers Drs. R. Horak, L. Mista and V. Pei'inova, who contributed very much to the subject. Professors M. C. Teich and P.

Manipulation of photons in a cavity by dispersive atom-field coupling: Quantum-nondemolition measurements and generation of ‘‘Schrödinger cat’’ states

“…!P k; nn+ I!, (47) which means that the magnitude of the average electric A. Evolution of p""' Analytical considerations Using Eqs. (24) and (34), the following recursion relations are obtained for p""whenv =vo ( Fig. 11 the evolution of the phase distribution for the measuring sequence whose photon-number distribution is shown in Fig.…”

“…Other mechanisms for generating "Schrodinger cats" of the electromagnetic field have been discussed in several papers over the past couple of years [8,32,33] [34] and apply it to the study of the Fig. 13(c) Fig.…”

Continuously coupled parametric generators and their quantum statistics

“…To detect quadrature fluctuations, one can adopt the homodyne detection technique, where fast oscillations of a field are eliminated by means of a local oscillator and the following principal squeeze variances for the j-th single mode [9] Aj = 5-t-1 (A/)JABj) -…”

Probability distribution of an integral quadratic functional on the trajectories of a complex-valued Ornstein-Uhlenbeck process

“…(the tilde sign specifies below the random nature of the quantities) is a component of many problems in control theory of stochastic systems, detection theory, statistical decision-making theory [1][2][3], statistical communication theory [4], processes optimization [5], and problems in quantum optics, statistical radiophysics [6,7], theory of passage of high-energy particles in unordered media [8], and statistical fracture theory [9]. Here, functionals are defined on the trajectories of stationary ergodic processes { }( ) x t and depend on the time parameter T. Problems where the stationary process { }( ) x t is Gaussian and the additive functional is a quadratic function of the process trajectory are of special importance.…”