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Physical Review Letters

Recall and Creation of Spatial Excitation Distributions in Dielectric Media

Jennifer R. Csesznegi, R. Grobe

Published Oct 27, 1997• 31 citations
Publisher

Abstract

We present an analytical theory for the optical properties of a novel three-level medium for which the degree of its initial excitation is a function of the position. The spatial distribution of the excitation can be imaged on the temporal profile of an electromagnetic signal that is created inside the medium when traversed by a cw-laser field. We propose an experimental scheme to generate arbitrary spatial excitations.

DOI
10.1103/physrevlett.79.3162

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We present an analytical theory for the optical properties of a novel three-level medium for which the degree of its initial excitation is a function of the position. The spatial distribution of the excitation can be imaged on the temporal profile of an electromagnetic signal that is created inside the medium when traversed by a cw-laser field. We propose an experimental scheme to generate arbitrary spatial excitations.
We propose an optical scheme to control the degree of excitation of spatially localized regions inside an absorbing three-level medium using two suitably delayed laser pulses. Only selected localized regions inside the medium are changed by the pulses, the remaining medium remains unchanged in its ground state. We present an approximate but analytical theory of the coupled Liouville and Maxwell equations and propose an experimental verification of this control excitation scheme for potassium vapor.
We summarize recent developments in the area of the coherent propagation of laser pulses through dielectric media.We will show that the principle of dynamical adiabaticity opens new avenues to control the non-perturbative .and resonant interaction between two laser pulses and a three-level medium.Examples include the formation of stable wave forms that can travel through optical dielectric media in a loss-free manner with arbitrary pulse shapes, novel possibilities to store optical information in dielectric media in the form of spatially dependent excitations and techniques to exploit this information to control laser pulse envelopes.
Introduction In this chapter we will put the concept of coherence on a more mathematical basis. This will involve the formal definition of a number of functions that are used to describe the coherence properties of optical fields. These include the analytic signal, various correlation functions, and the degree of coherence for describing both temporal and spatial coherence. We shall see that the degree of temporal coherence is quantitatively related to the lineshape function and that the degree of spatial coherence between two points is determined by the size, intensity distribution, and location of an illuminating source. We will use the wave equation, and special solutions to the wave equation called Green's functions, to show how spatial coherence varies from point to point. The chapter will conclude with a discussion of how the intensity fluctuations of a source depend on its coherence properties, and we will examine a specific scheme, namely the Hanbury Brown–Twiss experiment, by means of which this relationship is studied. This discussion will involve a discussion of “photon statistics,” namely the time variation of the “detection” of photons from a source. In a quantum-mechanical context, square-law detectors respond to these quantized excitations of the optical field, which we call photons. In classical coherence theory it is advantageous to represent the real electromagnetic field by a complex quantity, both for its mathematical simplicity and because it serves to emphasize that coherence theory deals with phenomena that are sensitive to the “envelope” or average intensity of the field.
The increasing interest in the study of the interaction of several resonant fields with multilevel quantum systems is due to a wide range of possible applications of various effects observed in the multi-frequency excitation of quantum objects. Among them, we can note color echo holography, information compression in three-level environments, copying of quantum information, and multi-level quantum gates that perform logical operations. In addition, the recording and reproduction of echo holograms in multi-level systems leads to the possibility, along with logical operations, to perform a change in the real-time scale and the sequence of events in the echo-hologram response, the data on which were embedded into the temporal structure of the object laser pulse. The formation of optical transient processes in multilevel systems occurs when the short laser pulses separated in time and resonant of different frequency transitions at the substance have an effect on the system, so that their interaction with each other becomes possible only through the medium and only if the medium has a sufficiently long phase memory. In this situation, each laser pulse transmits information about its wave characteristics to the medium, and this information is retained here until the arrival of the next laser pulses. The formation of optical transient processes in a multilevel system in a solid depends essentially on the degree of correlation of the inhomogeneous broadening on different frequency transitions and different time intervals, in connection with the possible destruction of the reversible phase memory of the system due to a partial mutual fixation energies of transitions. The influence of external spatially inhomogeneous electric fields on the resonant medium can lead to an additional artificially created inhomogeneous broadening. In this case, it is possible to control the phase memory of the system by changing the parameters of external spatially inhomogeneous electric fields, and the most pronounced effect on phase memory is the case of laser excitation of narrow frequency regions of inhomogeneously broadened lines of the resonance transitions. Moreover, the artificially created inhomogeneous broadening by external spatially inhomogeneous electric fields due to the Stark effect can be comparable with the spread of frequencies due to a partial mutual fixation of the transition energies, which leads to a partial restoration of the coherence of the multilevel system. This effect can lead to an increase in the intensity of the response of the stimulated photon echo (SPE) in the three-level system, which is the opposite effect of photon echo locking.