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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Physical principles of realization of quantum evaluations in technique of a photon echo

Ivan I. Popov

Published Apr 20, 2004• 0 citations
Publisher

Abstract

This work is dedicated to investigation the properties and opportunities of photon echo with the purpose of development the physical principle of embodying the optical evaluations on a superposition state of the group of excited particles of resonant gas, which could serve as a basis for increasing of features of quantum information processing regime which is supposed in work. One of the possible physical representations of a quaternion in the signal of photon echo is offered. The principle of the optical echo-processor operation is described to fulfill the operations with quantities which are introduced by quaternions. The example of optical transformation of quaternion quantity in the optical echo-processor is given.

DOI
10.1117/12.562207

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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Apr 20, 2004•1 citation
This work is dedicated to investigation the properties and opportunities of photon echo with the purpose of development the physical principle of embodying the optical evaluations on a superposition state of the group of excited particles of resonant gas, which could serve as a basis for increasing of features of quantum information processing regime which is supposed in work. One of the possible physical representations of a quaternion in the signal of photon echo is offered. The principle of the optical echo-processor operation is described to fulfill the operations with quantities which are introduced by quaternions. The example of optical transformation of quaternion quantity in the optical echo-processor is given.
The effect of the rotating of the photon echo polarization vector is offered for a construction of the opto-electronic current transformer. As an active medium that allows get the photon echo the vapors of molecular iodine are used. The theoretical model of the opto-electronic current transformer is discussed. The results of investigation of photon echo (PE), excited by complexly coded laser pulses in molecular Iodine vapors under action of the homogeneous longitudinal magnetic field are given in this work. The recording possibility of special information by exciting pulses on a pair of quantum levels of resonant gas (molecular Iodine vapors) in technique PE is shown experimentally. In this shown experiment the information has two by two values of two relevant features and is represented by the amplitude-time shape and direction of linear polarization vector of radiation. The possibility of using the detected features of formation PE under the action of magnetic field for development the physical principles of the quantum control and for optical information processing introduced by hypercomplex number - quaternion - is shown.
The photon echo application for optical digital processing of discrete images by the method of managing operators was examined. Photon echo is the pulse of light which is emitted spontaneously from a system of atoms previously irradiated by two or more coherent light pulses with length and power of 102divided by10-1 ps and 104divided by105 kW, respectively. These systems of resonant atoms are crystals with various paramagnetic activators. By using photon echo, the resonant systems are able to store and retrieve wave-front and temporal form of one of the excitation pulses. The photon echo application for information processing allows one to solve a number of problems with high efficiency. Different photon echo generating conditions can be utilized practically in all processor components, which creates certain prospects for using this effect in optical computing purposes.
Mathematical formalism of photon echo exciting at interaction of two-level quantum system with an electromagnetic field within the framework of quaternion algebra is offered. The rotation quaternion is used instead of density operator for representation of interaction dynamics of an exterior field with two-level atom, where the components of rotation quaternion are the coordinates of Bloch vector. Liouville fon-Neumann equation for density matrix evolution is substituted by the differential quaternion equation in a quaternion model. The expression for rotation quaternion appropriating to an unitary operator of rotation in matrix representation is obtained. It is shown that the solution of the differential quaternion equation does not require the difficult mathematical operation connected to an evaluation of an exponent from a matrix. The expression for a quaternion superoperator is obtained.