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Atomic and nuclear interference phenomena and their applications

Yelena Anatolyevna Kuznetsova

Published Aug 29, 2005• 0 citations
OpenAlex

Abstract

In this work, interference and coherence phenomena, appearing in atomic and\nmolecular ensembles interacting with coherent light sources, as electromagnetically\ninduced transparency (EIT), coherent population trapping (CPT), and slow group\nvelocity of light are investigated. The goal of the project is to make the steps towards\nvarious applications of these phenomena, first, by studying them in solid media (which\nare the most advantageous for applications), second, by suggesting some novel applications\nsuch as CPT-based plasma diagnostics, and realization of new types of\nsolid-state lasers (based on suppression of excited-state absorption via EIT). The\nthird goal of the project is extension of coherence and interference effects well-known\nin optics to the gamma-ray range of frequencies and, correspondingly, from atomic to\nnuclear transitions. A particular technique of chirped pulse compression applied to\nM??ossbauer transitions is considered and the possibility of compression of M??ossbauer\nradiation into ultrashort gamma-ray pulses is analyzed.\nThe theoretical treatment of the interference and coherence effects is based on\nthe semiclassical description of atom-light interaction, which is sufficient for correct\nanalysis of the phenomena considered here. Coherent media are considered in two-,\nthree-, and four-level approximations while their interaction with light is studied both\nanalytically and numerically using the Maxwell-Bloch set of equations.

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The effects of quantum coherence in X-ray optics at nuclear transitions are\ninvestigated from a theoretical point of view. First, we introduce the general concept\nof the decaying dressed states and present a classification of the quantum coherence\neffects in a three-level coherently driven system. Second, we show that the interference\neffects may appear in X-ray radiation at the nuclear transitions under the condition of\nthe nuclear level anti-crossing. This effects are similar to electromagnetically induced\ntransparency, which has been widely studied earlier at the electronic transitions in\noptics. We also suggest a new technique for inhomogeneous line narrowing at nuclear\ntransitions. This technique is based on the combined action of RF and DC fields\nand adopted to be applied in the M¨ossbauer spectroscopy. Numerical simulation of a\nsimple model with the dipole-dipole interaction is presented in order to demonstrate\nthe efficiency of the technique. Finally, we study the possibility to suppress the nuclear\nelastic forward scattering in the synchrotron experiments using trains of pulses. A\nnumerical model is developed to confirm this possibility and the main issue of relative\nphases of consecutive pulses is discussed.

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Optical pulse probing of coherency gradient in Λ-medium

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Quantum coherence and interference in atomic systems can lead to interesting optical phenomena such as nonabsorbing resonances, lasing without inversion, generating an ultrahigh index of refraction without absorption, propagation of light pulses without losses. In the last-named is given the title transparency. Up to now it is known some types of transparency in multi-level resonant media. One of them is electromagnetically induced transparency (EIT). The phenomenon of EIT in the propagation of laser radiation through an absorbing medium has been recently investigated and explained in terms of quantum coherence and interference for multi-level atomic system. For instance in the (Lambda) -system, if the atomic medium is prepared in a quantum superposition of states, matched pulses, i.e., a pair of optical pulses whose amplitude and phase have a well defined relation, propagate without absorption. The mechanism of coherent population trapping is responsible for EIT in a (Lambda) -system. There is another, well known mechanism for creating transparency in a two-state atom: self-induced transparency, or SIT. Here, a single pulse whose area (the integral of its Rabi frequency over time) is 2(pi) is applied to the medium. Such a pulse causes the atoms to cycle smoothly from the ground to the excited state and then back again. In principle, such a pulse can propagate over long distances. SIT can be generalized to multi-level systems and multiple quasi-monochromatic fields. Generalization of SIT in a (Lambda) -system was obtained in reference 2. In this report we present a new type of transparency (combined transparency). This type describes propagation of laser pulse through a (Lambda) -type medium where the initial atomic state is prepared in the form of spatially varying coherent superposition of low-energetic states (initial coherency gradient). The common envelope behaves as usual 2(pi) hyperbolic secant pulse, but the ratio between the components of frequencies transitions 1> yields 3> and 2> yields 3> changes due to coherent Raman scattering so (phi) equals atan(E1/E2) equals (pi) /2-Gz, where z is the coordinate, G is the constant determined by both the incident pulse parameters and the initial coherence between the atomic states. Our solution demonstrates a direct connection of EIT in adiabatic regime to the SIT effects. This type of a transparency is given the title screw-type transparency, because for the given form of incident pulse (pitch of screw) medium is transparent, if medium's the initial coherence gradient is correspondingly prepared (thread on a engine nut). Besides a transparency, this phenomenon contains a transformation of the incident pulse frequency during the process of the propagation. This property of the phenomena can be result in a complete conversion of the frequency.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•May 5, 1999•0 citations
In this work, interference and coherence phenomena, appearing in atomic and\nmolecular ensembles interacting with coherent light sources, as electromagnetically\ninduced transparency (EIT), coherent population trapping (CPT), and slow group\nvelocity of light are investigated. The goal of the project is to make the steps towards\nvarious applications of these phenomena, first, by studying them in solid media (which\nare the most advantageous for applications), second, by suggesting some novel applications\nsuch as CPT-based plasma diagnostics, and realization of new types of\nsolid-state lasers (based on suppression of excited-state absorption via EIT). The\nthird goal of the project is extension of coherence and interference effects well-known\nin optics to the gamma-ray range of frequencies and, correspondingly, from atomic to\nnuclear transitions. A particular technique of chirped pulse compression applied to\nM??ossbauer transitions is considered and the possibility of compression of M??ossbauer\nradiation into ultrashort gamma-ray pulses is analyzed.\nThe theoretical treatment of the interference and coherence effects is based on\nthe semiclassical description of atom-light interaction, which is sufficient for correct\nanalysis of the phenomena considered here. Coherent media are considered in two-,\nthree-, and four-level approximations while their interaction with light is studied both\nanalytically and numerically using the Maxwell-Bloch set of equations.
The project is focused on theoretical and experimental studies of the quantum coherence effects at the atomic and nuclear transitions in solids. The main results are the following. 1. Electromagnetically Induced Transparency (EIT) and all-optical writing and probing of quantum coherence in room temperature solids are demonstrated experimentally in the first time. 2. The method for coherent suppression of excited state absorption in laser crystals is suggested. It opens the prospects for realization of the variety tunable solid state lasers including UV and VUV ranges. 3. High-efficient THz generation by means of resonant three-level mixing based on EIT in solids is predicted. 4. EIT in gamma-ray range of frequencies at the nuclear transitions via the nuclear level crossing is demonstrated experimentally in the first time. 5. Slowing of the gamma-ray photons due to the absorption line doublet is demonstrated in the first time. 6. Modifications of the Mossbauer absorption spectra under the action of laser radiation demonstrated experimentally in the first time. 7. The method for suppression of the inhomogeneous line broadening of the Mossbauer spectra is suggested.
Coherent atomic states prepared by laser field can have quantum interference\nbetween the different transition amplitudes. Therefore, the medium susceptibility\nand optical response can be engineered, leading to many interesting phenomena, such\nas coherent population trapping (CPT), electromagnetically induced transparency\n(EIT), and lasing without inversion (LWI).\nWe studied the coherence effects in various prototype atomic systems, and found\nmany interesting applications. We solved the slow light bandwidth problem by decomposing\nthe pulse and matching each frequency to its EIT window using a magnetic\nfield gradient. We also considered the probe field deflection induced by the driving\nfield distribution in EIT, and showed that even a broadband pulse can be deflected\nwithout serious spreading. In the fast light area, we examined the effects of noise and\nparameter deviations in a bichromatic Raman type white light cavity. Taking advantage\nof the adjustable absorption of EIT, we showed that EIT in a laser cavity can\nhave either first-order or second-order phase transitions. Last but not least, we show\nthat the adiabatic population transfer can be used to reverse the weak measurement\nof an arbitrary field with finite photon number.
Atomic coherence and interference manifested by electromagentically induced transparency (EIT) and coherent population trapping (CPT) plays an important role in the current studies of atom-photon interactions and has found numerous applications in optical physics. EIT is created in a three-level atomic system by a coupling field and results in destructive interference between two excitation paths of a weak probe laser interacting with the atomic medium. This leads to suppressed linear absorption and rapidly varying atomic dispersion for the probe laser near the atomic resonance, which provides the platform for a variety of applications such as nonlinear optics at low light levels, slow light manipulation, and quantum state engineering for photons and atoms. Here we extend the simple three-level EIT system to more complicated and versatile configurations in a multi-level atomic system coupled by multiple laser fields. We show that with multiple excitation paths provided by different laser fields, phase-dependent quantum interference is induced: either constructive or destructive interference can be realized by varying the relative phases among the laser fields. Two specific examples are discussed. One is a three-level system coupled by bichromatic coupling and probe fields, in which the phase dependent interference between the resonant two-photon Raman transitions can be initiated and controlled. Another is a four-level system coupled by two coupling fields and two probe fields, in which a double-EIT configuration is created by the phase-dependent interference between three-photon and one-photon excitation processes. We analyze the coherently coupled multi-level atomic system and discuss the control parameters for the onset of constructive or destructive quantum interference. We describe two experiments performed with cold Rb atoms that can be approximately treated as the coherently coupled three-level and four-level atomic systems respectively. The experimental results show the phase-dependent quantum coherence and interference in the multi-level Rb atomic system, and agree with the theoretical calculations based on the coherently coupled three-level or four-level model system.
The appearance of quantum interference in the microscopic world is one of the deepest mysteries at the very root of quantum mechanics. When light interacts with atoms, it can induce transitions by way of distinct but indistinguishable pathways and yield unexpected and often counter-intuitive results. Electromagnetically Induced Transparency (EIT), Coherent Population Trapping (CPT), and Lasing Without Inversion (LWI) are modern examples of phenomena where the traditional rules that govern absorption and dispersion undergo major revisions. Spectacular consequences of this new state of affairs include the ability of a light beam to propagate through a normally absorbing medium with little or no absorption, or to undergo amplification even if the active medium is not prepared in a state of population inversion. Light signals have been shown to travel with strongly subluminal group velocities of only a handful of meters per second and, even, to propagate at speed greater than the ordinary speed of light, but without violation of causality or of the established rules that control the transfer of optical information through space. Three-level atoms can interact with two coherent electromagnetic fields according to three different systems, known as Cascade, Lambda and Vee systems. The propagation of a weak probe field can be deeply affected by the presence of a second stronger beam, the so-called coupling field. Transparency windows, splitting of emission and absorption lines and enormously enhanced dispersion have been documented in numerous experiments. In this thesis we explore the physical origin of the transparency induced in these systems by the simultaneous interplay of the coupling and probe fields. We focus our attention on the Cascade system and study its two configurations, Cascade-EIT and Cascade-AT. We develop a variety of complementary approaches for the description of these two configurations, some semiclassical and others fully quantum mechanical. We prove the existence of quantum interference in Electromagnetically Induced Transparency and also the surprising absence of interference in a closely related phenomenon, known as the Autler-Townes effect. Finally we complement the traditional machinery of theoretical quantum optics with techniques borrowed from quantum scattering theory, and offer what we believe is the most convincing physical evidence for the appearance, or for the absence, of quantum interference effects.
The effects of quantum coherence in X-ray optics at nuclear transitions are\ninvestigated from a theoretical point of view. First, we introduce the general concept\nof the decaying dressed states and present a classification of the quantum coherence\neffects in a three-level coherently driven system. Second, we show that the interference\neffects may appear in X-ray radiation at the nuclear transitions under the condition of\nthe nuclear level anti-crossing. This effects are similar to electromagnetically induced\ntransparency, which has been widely studied earlier at the electronic transitions in\noptics. We also suggest a new technique for inhomogeneous line narrowing at nuclear\ntransitions. This technique is based on the combined action of RF and DC fields\nand adopted to be applied in the M¨ossbauer spectroscopy. Numerical simulation of a\nsimple model with the dipole-dipole interaction is presented in order to demonstrate\nthe efficiency of the technique. Finally, we study the possibility to suppress the nuclear\nelastic forward scattering in the synchrotron experiments using trains of pulses. A\nnumerical model is developed to confirm this possibility and the main issue of relative\nphases of consecutive pulses is discussed.
Quantum coherence and interference in atomic systems can lead to interesting optical phenomena such as nonabsorbing resonances, lasing without inversion, generating an ultrahigh index of refraction without absorption, propagation of light pulses without losses. In the last-named is given the title transparency. Up to now it is known some types of transparency in multi-level resonant media. One of them is electromagnetically induced transparency (EIT). The phenomenon of EIT in the propagation of laser radiation through an absorbing medium has been recently investigated and explained in terms of quantum coherence and interference for multi-level atomic system. For instance in the (Lambda) -system, if the atomic medium is prepared in a quantum superposition of states, matched pulses, i.e., a pair of optical pulses whose amplitude and phase have a well defined relation, propagate without absorption. The mechanism of coherent population trapping is responsible for EIT in a (Lambda) -system. There is another, well known mechanism for creating transparency in a two-state atom: self-induced transparency, or SIT. Here, a single pulse whose area (the integral of its Rabi frequency over time) is 2(pi) is applied to the medium. Such a pulse causes the atoms to cycle smoothly from the ground to the excited state and then back again. In principle, such a pulse can propagate over long distances. SIT can be generalized to multi-level systems and multiple quasi-monochromatic fields. Generalization of SIT in a (Lambda) -system was obtained in reference 2. In this report we present a new type of transparency (combined transparency). This type describes propagation of laser pulse through a (Lambda) -type medium where the initial atomic state is prepared in the form of spatially varying coherent superposition of low-energetic states (initial coherency gradient). The common envelope behaves as usual 2(pi) hyperbolic secant pulse, but the ratio between the components of frequencies transitions 1> yields 3> and 2> yields 3> changes due to coherent Raman scattering so (phi) equals atan(E1/E2) equals (pi) /2-Gz, where z is the coordinate, G is the constant determined by both the incident pulse parameters and the initial coherence between the atomic states. Our solution demonstrates a direct connection of EIT in adiabatic regime to the SIT effects. This type of a transparency is given the title screw-type transparency, because for the given form of incident pulse (pitch of screw) medium is transparent, if medium's the initial coherence gradient is correspondingly prepared (thread on a engine nut). Besides a transparency, this phenomenon contains a transformation of the incident pulse frequency during the process of the propagation. This property of the phenomena can be result in a complete conversion of the frequency.