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Advances in physics theories and applications

Dynamics of Electromagnetically Induced Transparency in Orthogonal States

Sitotaw Eshete

Published Jan 1, 2018• 0 citations
OpenAlex

Abstract

According to our work, we assert that the dynamics of electromagnetically induced transparency in lambda type atomic system by taking the basics in line with the quantum mechanical aspects. We wonder that incorporating the condition for electromagnetically induced transparency to happen is a meaningful arm to generating a conclusion for a considerable quantum optical system; lambda type atomic system. In this work, mainly quantum interference of light generated from an atomic system has been studied significantly. Accordingly, the mathematical result shows that the quantum interference is due to spontaneous decay rate of the atom from the upper energy state to two ground energy states and sufficiently affects the transparency of the medium. To have such transparency we must have initially the atom in the upper physical state. Keywords: Electromagnetically induced transparency, Orthogonal states, Interference, Light, Lambda system.

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Optical pulse probing of coherency gradient in Λ-medium

Igor V. Kazinets, I. E. Mazets, Boris G. Matisov

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

Interference between competing pathways in the interaction of three-level atoms and radiation

Tony Abi-Salloum, Lorenzo M. Narducci

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.

•Jun 1, 2006•0 citations

Optomechanical electromagnetically induced transparency in inverted atomic configurations: a comparative view

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Abstract We study electromagnetically induced transparency (EIT), which is affected by cavity optomechanics in different atomic configurations ( V and Λ ). The cavity mode is depicted as a probe field, and a classical driving field is applied to the atomic medium as the control laser in each system. Interaction between the cavity mode, atomic media and the oscillating mirror of the cavity can change the susceptibility of the atomic ensemble. Equations of motion demonstrate a system of nonlinear equations for each system. Nonlinearity of equations is a result of interaction between the cavity mode and atomic transitions. The equations are solved via a perturbation method. The results show two different aspects of atom-assisted optomechanics in V -type system: a common transparency window and an amplifying process in a transparency window that does not occur in the Λ configuration, notable as a considerable difference between the proposed systems. It is shown that classical field detuning leads to different changes in the susceptibility of both systems; other values of cavity detuning, except in the resonant case, can guarantee the occurrence of EIT in the system. For the initial value of the cavity field, a negative region appears in absorption spectrum of the V -type atomic ensemble. Meanwhile, the Λ configuration does not show a such process. According to our results, in the appearance of the transparency window, the position of movable mirror changes significantly.

Laser Physics•Jan 23, 2017•16 citations

Explanations of the Physics Mechanism on Electromagnetically Induced Transparency

Wang Yu-ping

The physics mechanism of electromagnetically induced transparency in a Λ-type three-level atomic system was investigated by means of the semiclassical theory.The electromagnetically induced transparency is an effect of quantum interference between two laser-induced channels when the laser field interacts with an atom.The explanations of these phenomena are given by using the dark state,the dressed states and the density-matrix equations.

Journal of Yibin University•Jan 1, 2013•0 citations

APPLICATION OF ELECTROMAGNETICALLY INDUCED TRANSPARENCY (EIT) IN QUANTUM COMMUNICATION: A REVIEW

I.I. BABAYO, A.M LIMAN, A.B AHMED

Electromagnetically induced transparency is a promising approach to implement quantumcommunication in quantum system. In this study, quantum coherence and interference in theexcitation pathways of a three-level Λ atomic system leads to the formation of new states of matter(i.e. the dark state). This state decouples itself from the excitation beams leading to phenomenasuch as coherent population trapping (CPT), electromagnetically induced transparency (EIT).Taking into account quantum coherence and interference in an optically dense electromagneticallyinducedtransparent medium, we investigate the non-destructive storage and retrieval of singlephotonquantum states in the dark state of this dense ensemble of gas phase medium. The storageand retrieval process is based on the intracavity electromagnetically induced transparency by whichproperties of a cavity filled with three-level Λ-type atoms are manipulated by an external control field.We demonstrate the peculiar case for the storage and retrieval of time-entangled periodic input pulses(a soliton train) in the dark state by adiabatic photon transfer under conditions of dynamicalimpedance matching. These multiplexed photon states are expected to allow sharing quantuminformation among many users, and are currently of very high demand for applications in longdistanceand multiplexed quantum communication.

BIMA JOURNAL OF SCIENCE AND TECHNOLOGY GOMBE•Jun 13, 2021•0 citations

APPLICATION OF ELECTROMAGNETICALLY INDUCED TRANSPARENCY (EIT) IN QUANTUM COMMUNICATION: A REVIEW

I.I. BABAYO, A.M LIMAN, A.B AHMED

Electromagnetically induced transparency is a promising approach to implement quantumcommunication in quantum system. In this study, quantum coherence and interference in theexcitation pathways of a three-level Λ atomic system leads to the formation of new states of matter(i.e. the dark state). This state decouples itself from the excitation beams leading to phenomenasuch as coherent population trapping (CPT), electromagnetically induced transparency (EIT).Taking into account quantum coherence and interference in an optically dense electromagneticallyinducedtransparent medium, we investigate the non-destructive storage and retrieval of singlephotonquantum states in the dark state of this dense ensemble of gas phase medium. The storageand retrieval process is based on the intracavity electromagnetically induced transparency by whichproperties of a cavity filled with three-level Λ-type atoms are manipulated by an external control field.We demonstrate the peculiar case for the storage and retrieval of time-entangled periodic input pulses(a soliton train) in the dark state by adiabatic photon transfer under conditions of dynamicalimpedance matching. These multiplexed photon states are expected to allow sharing quantuminformation among many users, and are currently of very high demand for applications in longdistanceand multiplexed quantum communication.

BIMA JOURNAL OF SCIENCE AND TECHNOLOGY GOMBE•Jun 13, 2021•0 citations
According to our work, we assert that the dynamics of electromagnetically induced transparency in lambda type atomic system by taking the basics in line with the quantum mechanical aspects. We wonder that incorporating the condition for electromagnetically induced transparency to happen is a meaningful arm to generating a conclusion for a considerable quantum optical system; lambda type atomic system. In this work, mainly quantum interference of light generated from an atomic system has been studied significantly. Accordingly, the mathematical result shows that the quantum interference is due to spontaneous decay rate of the atom from the upper energy state to two ground energy states and sufficiently affects the transparency of the medium. To have such transparency we must have initially the atom in the upper physical state. Keywords: Electromagnetically induced transparency, Orthogonal states, Interference, Light, Lambda system.
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.
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.
Abstract We study electromagnetically induced transparency (EIT), which is affected by cavity optomechanics in different atomic configurations ( V and Λ ). The cavity mode is depicted as a probe field, and a classical driving field is applied to the atomic medium as the control laser in each system. Interaction between the cavity mode, atomic media and the oscillating mirror of the cavity can change the susceptibility of the atomic ensemble. Equations of motion demonstrate a system of nonlinear equations for each system. Nonlinearity of equations is a result of interaction between the cavity mode and atomic transitions. The equations are solved via a perturbation method. The results show two different aspects of atom-assisted optomechanics in V -type system: a common transparency window and an amplifying process in a transparency window that does not occur in the Λ configuration, notable as a considerable difference between the proposed systems. It is shown that classical field detuning leads to different changes in the susceptibility of both systems; other values of cavity detuning, except in the resonant case, can guarantee the occurrence of EIT in the system. For the initial value of the cavity field, a negative region appears in absorption spectrum of the V -type atomic ensemble. Meanwhile, the Λ configuration does not show a such process. According to our results, in the appearance of the transparency window, the position of movable mirror changes significantly.
Electromagnetically induced transparency is a promising approach to implement quantumcommunication in quantum system. In this study, quantum coherence and interference in theexcitation pathways of a three-level Λ atomic system leads to the formation of new states of matter(i.e. the dark state). This state decouples itself from the excitation beams leading to phenomenasuch as coherent population trapping (CPT), electromagnetically induced transparency (EIT).Taking into account quantum coherence and interference in an optically dense electromagneticallyinducedtransparent medium, we investigate the non-destructive storage and retrieval of singlephotonquantum states in the dark state of this dense ensemble of gas phase medium. The storageand retrieval process is based on the intracavity electromagnetically induced transparency by whichproperties of a cavity filled with three-level Λ-type atoms are manipulated by an external control field.We demonstrate the peculiar case for the storage and retrieval of time-entangled periodic input pulses(a soliton train) in the dark state by adiabatic photon transfer under conditions of dynamicalimpedance matching. These multiplexed photon states are expected to allow sharing quantuminformation among many users, and are currently of very high demand for applications in longdistanceand multiplexed quantum communication.
Electromagnetically induced transparency is a promising approach to implement quantumcommunication in quantum system. In this study, quantum coherence and interference in theexcitation pathways of a three-level Λ atomic system leads to the formation of new states of matter(i.e. the dark state). This state decouples itself from the excitation beams leading to phenomenasuch as coherent population trapping (CPT), electromagnetically induced transparency (EIT).Taking into account quantum coherence and interference in an optically dense electromagneticallyinducedtransparent medium, we investigate the non-destructive storage and retrieval of singlephotonquantum states in the dark state of this dense ensemble of gas phase medium. The storageand retrieval process is based on the intracavity electromagnetically induced transparency by whichproperties of a cavity filled with three-level Λ-type atoms are manipulated by an external control field.We demonstrate the peculiar case for the storage and retrieval of time-entangled periodic input pulses(a soliton train) in the dark state by adiabatic photon transfer under conditions of dynamicalimpedance matching. These multiplexed photon states are expected to allow sharing quantuminformation among many users, and are currently of very high demand for applications in longdistanceand multiplexed quantum communication.