## Quantum Fluctuations in Unstable Optical Systems

#A-1495

Quantum Fluctuations in Unstable Optical Systems

**Tech Area / Field**

- PHY-OPL/Optics and Lasers/Physics

**Status****3** Approved without Funding

**Registration date****19.01.2007**

**Leading Institute**

Institute for Physical Research, Armenia, Ashtarak-2

**Collaborators**

- University of Arkansas / Fulbright College of Arts and Sciences, USA, AR, Fayetteville

**Project summary**

The Project we propose will add new knowledge in understanding the behavior of unstable optical systems.The working team is competent in this field of research and is capable of solving the given problem. The manager of the proposed Project, S.T.Gevorgyan has an experience in research into the quantum dynamics of unstable optical systems. His is author or co-author of many works concerning this field of research, in particular, [3,17-19]. We expect that the results of studies of the problem proposed will be interesting for the groups of physicists active in the theory or experiments dealing with unstable optical systems. We guess that the results of our studies will assist the designing of new experiments and may be used for further development of the theory of unstable optical phenomena. The Project corresponds to the goals of ISTC. It gives a possibility for scientists active in the developing of armament to concentrate their effort in the peaceful activity. The Project also promotes the integration of scientists from Armenia into the international scientific community. The duration of the Project is 12 months. The Project consists of one problem that will be solved by two persons: a defense specialist and the manager. There will be, during the overall duration of the Project, an exchange of information and scientific concepts with the foreign collaborator, as well as joint effort for the solution of the problem and publication of joint articles. For solving the proposed problems we intend to employ two techniques of simulation. The first will be as follows. We will obtain in PPR the equation of motion for the P-function of the optical system [20]. With use of the Ito rule we will obtain from the Fokker-Planck equation the system of Langevin equations for the stochastic field amplitudes [20]. From the ensemble of realizations of stochastic amplitudes of the fields we will obtain the distribution function for physical quantities of the system [17]. The second technique will be that of quantum jumps [21]. We will compute the matrix of quantum trajectories of modes of the optical system. The density matrices of system modes we will determine as the mathematical expectation of an ensemble of trajectory matrices. The quantum entropy of the optical system modes will be calculated by means of numerical diagonalization of the mode density matrices. The Wigner functions of the optical system modes will be calculated following the corresponding formulas of the work [22].

*References*

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