Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Cambridge University Press eBooks

Enhancing the Index of Refraction in a Nonabsorbing Medium: Phaseonium Versus a Mixture of Two-Level Atoms

Marlan O. Scully, Theodor W. Hänsch, Michael Fleischhauer, Christoph H. Keitel, Shi-Yao Zhu

Published Sep 2, 1993• 0 citations
Publisher

Abstract

. We investigate the possibility of enhancing the refractive properties in a nonabsorbing medium via two fundamentally different schemes. First there is the coherent preparation of three-level atoms where absorption is cancelled due to destructive interference while the refractivity is not hampered in the same way. There also is the possibility of cancelling absorption via a mixture of absorbing and emitting two-level atoms without the need of a coherent preparation. One drawback here, however, is high sensitivity to Doppler broadening, collisions and number fluctuations which makes this scheme practically infeasible. Introduction The various application of atomic coherence in laser physics and quantum optics has recently attracted considerable interest. It has been shown that atomic coherence can lead to absorption cancellation (Alzetta, et al., 1976; and Gray, et al., 1979) and quenching of spontaneous emission noise (Scully, 1985). More recently, the notion of noninversion lasing has received attention, and it was shown that atomic coherence leading to cancellation of absorption does not necessarily influence emission (Harris, 1989; Scully, et al., 1989; and Kocharovskaya and Khanin, 1988). There has been extensive research on many schemes that involve coherence between an upper or lower level laser doublet due to various means: microwave or Raman coherent coupling and spontaneous and incoherent pumping coupling just to name the most important.

DOI
10.1017/cbo9780511524448.008

Related papers

Lasing without inversion and other effects of atomic coherence and interference

Marlan O. Scully, Muhammad Suhail Zubairy

Quantum coherence and correlations in atomic and radiation physics have led to many interesting and unexpected consequences. For example, an atomic ensemble prepared in a coherent superposition of states yields the Hanle effect, quantum beats, photon echo, self-induced transparency, and coherent Raman beats. In fact, in Section 1.4, we saw that the quantum beat effect provides one of the most compelling reasons for quantizing the radiation field. A further interesting consequence of preparing an atomic system in a coherent superposition of states is that, under certain conditions, it is possible for atomic coherence to cancel absorption. Such atomic states are called trapping states †. The observation of nonabsorbing resonances via atomic coherence and interference impacts on the concepts of lasing without inversion (LWI),‡ enhancement of the index of refraction accompanied by vanishing absorption, and electromagnetically induced transparency. In lasing without inversion, the essential idea is the absorption cancellation by atomic coherence and interference. This phenomenon is also the essence of electromagnetically induced transparency. Usually this is accomplished in three-level atomic systems in which there are two coherent routes for absorption that can destructively interfere, thus leading to the cancellation of absorption. A small population in the excited state can thus lead to net gain. A related phenomenon is that of resonantly enhanced refractive index without absorption in an ensemble of phase-coherent atoms ( phaseonium ). In a phaseonium gas with no population in the excited level, the absorption cancellation always coincides with vanishing refractivity.

Cambridge University Press eBooks•Sep 4, 1997•11 citations

Resonantly enhanced refractive index without absorption via atomic coherence

Michael Fleischhauer, Christoph H. Keitel, Marlan O. Scully +3 more

An enhancement of the index of refraction accompanied by vanishing absorption is shown to be possible in an ensemble of phase-coherent atoms (``phaseonium''). A survey of various possible schemes in which coherence is established by certain coherent or incoherent methods is given, and the main results are compared and contrasted. In particular, the influence of processes such as Doppler broadening that degrade coherence is discussed.

Physical Review A•Aug 1, 1992•360 citations

Optical nonlinearities and the Kerr-effect in phaseonium

U. Rathea, Michael Fleischhauer, Marlan O. Scully

Systems with atomic coherence can have interesting optical properties, such as non-absorbing resonances or an index of refraction at a frequency of vanishing absorption many orders of magnitude larger than is otherwise possible. This chapter shows that phaseonium can display a large nonlinear Kerr-effect near the atomic resonance while retaining complete transparency. Near resonance nonlinearities are usually accompanied by a large absorption of the medium. A three-level atom is initially prepared in a coherent superposition of the two lower levels. This can be achieved for example by a coherent pulse excitation. The Kerr-coefficient is defined as the coefficient of the first nonlinear correction to the index of refraction.

CRC Press eBooks•Jul 16, 2021•0 citations

Controlling of spontaneous emission

H. Tajalli, Mostafa Sahrai

Spontaneous emission in atomic system arises due to the interaction of atoms with environmental modes. Atomic coherence and quantum interference are the most important mechanisms for controlling the spontaneous emission. We show that under certain conditions complete quenching of spontaneous emission is possible. By using V type three level system driven by two fields, the phase dependence of quantum interference is investigated. The Fano type and P type interference mechanism in atomic coherence system driven by microwaves are investigated. In particular we find that both phase dependence interference mechanism may be destructive simultaneously and thus lead to spontaneous emission cancellation in different parts of the spectrum. One of the most important applications of this system is the refractive index enhancement.© (2003) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Oct 1, 2003•0 citations

Phaseonium: media of unusual optical properties

Antoni Wójcik, R. Parzyński

In recent years reports on very interesting media showing unusual optical properties have appeared in literature on atomic physics. The source of these properties is quantum interference revealed in the process of interaction of atoms with coherent light. The basis of this process is the fact that if there are at least two possibilities of realization of the process of absorption or emission of light in a given medium leading to the same final state, they interfere with each other. The result of the interference depends on relative phases of the interfering processes. However, for the interference to be observable the above phases must be well determined. The phase coherence of the medium is thus a condition necessary for obtaining the optical properties characteristic of quantum interference. This fact has been underlined by the name phaseonium given to these media by Marlan O. Scully. Recently observed unusual optical properties of a phase-coherent atomic medium (phaseonium) is explained using very simple models.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Aug 14, 1997•0 citations

Coherent control of optical processes in a resonant medium

Christopher O’Brien

The resonant absorption, emission, and scattering of light are the fundamental optical processes that have been used both to probe matter and to manipulate light itself. In the last decade there has been essential progress in coherent control of both linear and nonlinear optical responses based on resonant excitation of atomic coherence in multilevel quantum systems. Some interesting and useful phenomena, resulting from coherent control of absorption and the group index, such as electromagnetically induced transparency, lasing without inversion, and ultra-slow group velocity of light have been widely studied. This work is focused on coherent control of refractive index and resonant fluorescence in multilevel medium. \n \nWe suggest two promising schemes for resonant enhancement of the refractive index with eliminated absorption and propose their implementation in transition element doped crystals with excited state absorption and in a cell of Rb atoms at natural abundance. We show how to use one of these schemes for spatial variation of the refractive index via its periodic resonant increase/decrease, remarkably keeping at the same time zero absorption/gain. It opens the way to production of transparent photonic structures (such as distributed Bragg reflectors, holey fibers, or photonic crystals) in a homogeneous resonant atomic media such as dielectrics with homogeneously distributed impurities, atomic, or molecular gases. These optically produced photonic structures could easily be controlled (including switching on/off, changing amplitude and period of modulation) and would be highly selective in frequency, naturally limited by the width of the optical resonance. \n \nWe also derive the optical fluorescence spectra of a three-level medium driven by two coherent fields at the adjacent transitions in a general case when all three transitions are allowed. We show that coherent driving can efficiently control the distribution of intensities between the fluorescent channels. In particular, the total intensity of fluorescence at the transition which is not driven by the optical fields may essentially exceed the fluorescence intensity at the driven transitions under the condition of two-photon resonance. This counter-intuitive effect is due to depletion of the intermediate state via atomic interference.

•Dec 1, 2011•0 citations
. We investigate the possibility of enhancing the refractive properties in a nonabsorbing medium via two fundamentally different schemes. First there is the coherent preparation of three-level atoms where absorption is cancelled due to destructive interference while the refractivity is not hampered in the same way. There also is the possibility of cancelling absorption via a mixture of absorbing and emitting two-level atoms without the need of a coherent preparation. One drawback here, however, is high sensitivity to Doppler broadening, collisions and number fluctuations which makes this scheme practically infeasible. Introduction The various application of atomic coherence in laser physics and quantum optics has recently attracted considerable interest. It has been shown that atomic coherence can lead to absorption cancellation (Alzetta, et al., 1976; and Gray, et al., 1979) and quenching of spontaneous emission noise (Scully, 1985). More recently, the notion of noninversion lasing has received attention, and it was shown that atomic coherence leading to cancellation of absorption does not necessarily influence emission (Harris, 1989; Scully, et al., 1989; and Kocharovskaya and Khanin, 1988). There has been extensive research on many schemes that involve coherence between an upper or lower level laser doublet due to various means: microwave or Raman coherent coupling and spontaneous and incoherent pumping coupling just to name the most important.
Quantum coherence and correlations in atomic and radiation physics have led to many interesting and unexpected consequences. For example, an atomic ensemble prepared in a coherent superposition of states yields the Hanle effect, quantum beats, photon echo, self-induced transparency, and coherent Raman beats. In fact, in Section 1.4, we saw that the quantum beat effect provides one of the most compelling reasons for quantizing the radiation field. A further interesting consequence of preparing an atomic system in a coherent superposition of states is that, under certain conditions, it is possible for atomic coherence to cancel absorption. Such atomic states are called trapping states †. The observation of nonabsorbing resonances via atomic coherence and interference impacts on the concepts of lasing without inversion (LWI),‡ enhancement of the index of refraction accompanied by vanishing absorption, and electromagnetically induced transparency. In lasing without inversion, the essential idea is the absorption cancellation by atomic coherence and interference. This phenomenon is also the essence of electromagnetically induced transparency. Usually this is accomplished in three-level atomic systems in which there are two coherent routes for absorption that can destructively interfere, thus leading to the cancellation of absorption. A small population in the excited state can thus lead to net gain. A related phenomenon is that of resonantly enhanced refractive index without absorption in an ensemble of phase-coherent atoms ( phaseonium ). In a phaseonium gas with no population in the excited level, the absorption cancellation always coincides with vanishing refractivity.
Systems with atomic coherence can have interesting optical properties, such as non-absorbing resonances or an index of refraction at a frequency of vanishing absorption many orders of magnitude larger than is otherwise possible. This chapter shows that phaseonium can display a large nonlinear Kerr-effect near the atomic resonance while retaining complete transparency. Near resonance nonlinearities are usually accompanied by a large absorption of the medium. A three-level atom is initially prepared in a coherent superposition of the two lower levels. This can be achieved for example by a coherent pulse excitation. The Kerr-coefficient is defined as the coefficient of the first nonlinear correction to the index of refraction.
Spontaneous emission in atomic system arises due to the interaction of atoms with environmental modes. Atomic coherence and quantum interference are the most important mechanisms for controlling the spontaneous emission. We show that under certain conditions complete quenching of spontaneous emission is possible. By using V type three level system driven by two fields, the phase dependence of quantum interference is investigated. The Fano type and P type interference mechanism in atomic coherence system driven by microwaves are investigated. In particular we find that both phase dependence interference mechanism may be destructive simultaneously and thus lead to spontaneous emission cancellation in different parts of the spectrum. One of the most important applications of this system is the refractive index enhancement.© (2003) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.
In recent years reports on very interesting media showing unusual optical properties have appeared in literature on atomic physics. The source of these properties is quantum interference revealed in the process of interaction of atoms with coherent light. The basis of this process is the fact that if there are at least two possibilities of realization of the process of absorption or emission of light in a given medium leading to the same final state, they interfere with each other. The result of the interference depends on relative phases of the interfering processes. However, for the interference to be observable the above phases must be well determined. The phase coherence of the medium is thus a condition necessary for obtaining the optical properties characteristic of quantum interference. This fact has been underlined by the name phaseonium given to these media by Marlan O. Scully. Recently observed unusual optical properties of a phase-coherent atomic medium (phaseonium) is explained using very simple models.
The resonant absorption, emission, and scattering of light are the fundamental optical processes that have been used both to probe matter and to manipulate light itself. In the last decade there has been essential progress in coherent control of both linear and nonlinear optical responses based on resonant excitation of atomic coherence in multilevel quantum systems. Some interesting and useful phenomena, resulting from coherent control of absorption and the group index, such as electromagnetically induced transparency, lasing without inversion, and ultra-slow group velocity of light have been widely studied. This work is focused on coherent control of refractive index and resonant fluorescence in multilevel medium. \n \nWe suggest two promising schemes for resonant enhancement of the refractive index with eliminated absorption and propose their implementation in transition element doped crystals with excited state absorption and in a cell of Rb atoms at natural abundance. We show how to use one of these schemes for spatial variation of the refractive index via its periodic resonant increase/decrease, remarkably keeping at the same time zero absorption/gain. It opens the way to production of transparent photonic structures (such as distributed Bragg reflectors, holey fibers, or photonic crystals) in a homogeneous resonant atomic media such as dielectrics with homogeneously distributed impurities, atomic, or molecular gases. These optically produced photonic structures could easily be controlled (including switching on/off, changing amplitude and period of modulation) and would be highly selective in frequency, naturally limited by the width of the optical resonance. \n \nWe also derive the optical fluorescence spectra of a three-level medium driven by two coherent fields at the adjacent transitions in a general case when all three transitions are allowed. We show that coherent driving can efficiently control the distribution of intensities between the fluorescent channels. In particular, the total intensity of fluorescence at the transition which is not driven by the optical fields may essentially exceed the fluorescence intensity at the driven transitions under the condition of two-photon resonance. This counter-intuitive effect is due to depletion of the intermediate state via atomic interference.