Critical phenomena and quantum statistics in the four-wave interaction

نویسنده

  • G. Yu
چکیده

We develop a theory of intracavity four-wave interaction. As a result of such interaction, two photons of the pump fields produce a pair of photons of the cavity's signal mode with the same frequency. In addition to taking into account the parametric process of photon transformation and dissipation processes, we allow for the effects of phase self-modulation of the signal mode and its cross modulation due to the pump fields. We find an exact steady-state solution of the Fokker-Planck equation for the distribution function of the quasiprobability of the amplitude in the generalized P-representation of the density matrix. This solution is then used to calculate the moments of the signal-mode operators, the distribution function for the number of photons, and the Wigner function. The results are applicable to all oscillating modes, including the threshold and above-threshold regions and the bistable mode. We study critical phenomena and the quantum statistical effects of photon correlation, the squeezing of fluctuations of the quadrature component, and sub-Poisson statistics. We find, in particular, that the pair correlation of photons increases significantly in the threshold region with the bistable oscillating mode present. We also show that squeezing in the threshold region is manifested only in the absence of bistability. Finally, we analyze the threshold characteristics of the nonlinear system and the characteristic features of the transition to nonthreshold behavior at high levels of quantum noise and large nonlinearities. O 1996 American Institute of Physics. [S 1063-776 1 (96)004 1 1 -81

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Statistics of Exciton Emission in a Semiconductor Microcavity: Detuning and Exciton-Exciton Effects

We consider the interaction of quantum light with an ideal semiconductor microcavity. We investigate photon statistics in different conditions and the presence of detuning and exciton-exciton interaction. We show that in the resonant interaction and absence of the exciton-exciton interaction, the state of the whole system can be considered as   coherent state. According to our results, it turns...

متن کامل

Degenerate four waves mixing in multilayer nanoshell

We will present a detailed investigation of intersubband transitions process in core-multi shells quantum dots. The confined wave functions and eigenenergies of electrons in quantum dots have been calculated under the effective-mass approximation by solving a three-dimensional Schrodinger equation. Excellent dependence is found between size effects, time relaxation and degenerate four wave mixi...

متن کامل

Degenerate four waves mixing in multilayer nanoshell

We will present a detailed investigation of intersubband transitions process in core-multi shells quantum dots. The confined wave functions and eigenenergies of electrons in quantum dots have been calculated under the effective-mass approximation by solving a three-dimensional Schrodinger equation. Excellent dependence is found between size effects, time relaxation and degenerate four wave mixi...

متن کامل

Simulation and Design of an Organic Quantum Film Electrooptic Switch

In this paper the simulation and design of a quantum-film electro-optic switch is considered. This photonic device, is made from a new organic dipolar material called MNA or 2-methyl-4 nitroaniline, which possesses a high merit in comparison with it's inorganic counterparts (e.g. LiNbO3, GaAs, InSb, Quartz, etc). Montecarlo method is used to simulate the photon-it-electron interaction in this m...

متن کامل

Exploring the implications of the laws and principles of quantum physics in the field of talent (quantum theory of talent)

The issue of talent-discovering is one of the most important issues in the field of education and research that has always been a concern for educational systems. Studying the issues of identifying and guiding talented students can illuminate a large part of the activities of the executors and practitioners in order to accomplish their mission effectively. On the other hand, quantum physics has...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2010