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CRC Press eBooks

The observation of super-radiance

M. G. Benedict, A. M. Ermolaev, Viktor A. Malyshev, I. V. Sokolov, Evgenii Dmitrievich Trifonov

Published Mar 29, 2018• 0 citations
Publisher

Abstract

For nearly two decades, starting from the prediction of super-radiance by R. H. Dicke in 1954, the subject was generally considered as being mainly of theoretical significance. The situation changed in 1973 when Skribanowitz, Herman, MacGillivray and Feld performed experiments with low-pressure HF gas, and realized conditions where the phase memory time of the radiation centres was longer than the cooperative spontaneous emission time. This chapter describes the numerous super-radiance experiments. It demonstrates that conditions for the experimental realization of super-radiance do exist, that is under appropriate circumstances super-radiance is not suppressed by de-phasing or inhomogeneous relaxation. The experiments can be divided into two classes with respect to the time scale of the relaxation processes. In gases, the relaxation times are typically in the nanosecond range, whereas in solids these processes are faster, by at least one or two orders of magnitude. The chapter gives a description of some of these experiments both in gases and in solids.

DOI
10.1201/9780203737880-3

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This chapter considers super-radiance on an elementary level in the sense that the main notions and concepts of the phenomenon will be treated as they evolved in the course of the early studies starting with the classical works by R. H. Dicke. It considers super-radiance from a system with dimensions small compared with the wavelength of the emission that is the Dicke model. The chapter discusses the results to be obtained are also applicable to the single-mode super-radiance of an extended system. It then considers mainly the cooperative spontaneous emission of a collection of N identical atoms confined within a small volume. If the audience wish to investigate the super-radiance of an extended system, the dimensions of which exceed the emission wavelength, the semiclassical method is more convenient. In essence, the semiclassical approach discussed in the chapter combines the quantum mechanical treatment of the atomic system that uses the density matrix formalism with the classical treatment of the radiation field.

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This introduction presents an overview of the key concepts discussed in the subsequent chapters of this book. The book discusses the main features of super-radiance using some simplified models. It presents a review of experimental work on super-radiance. The book also presents a generalization of the Wigner–Weisskopf approach to the N -atom system using a diagram method of non-stationary perturbation theory. It discusses several correlation functions for the field and the polarization, which characterize the coherence properties of super-radiation. The book uses the semiclassical approach to investigate the influence of de-phasing processes on radiation efficiency, or in other words, the influence of homogeneous and inhomogeneous broadening of the spectral line on the dynamics and spectrum of super-radiance. It considers the boundary value problem for the transmission and reflection of short pulses, taking into account the local field correction. Two effects are of special interest: the population-dependent frequency shift and the possibility of mirror-less bistability of ultra-short electromagnetic pulses.

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arXiv:1602.04374•Journal of the Optical Society of America B•May 12, 2016•161 citations
For nearly two decades, starting from the prediction of super-radiance by R. H. Dicke in 1954, the subject was generally considered as being mainly of theoretical significance. The situation changed in 1973 when Skribanowitz, Herman, MacGillivray and Feld performed experiments with low-pressure HF gas, and realized conditions where the phase memory time of the radiation centres was longer than the cooperative spontaneous emission time. This chapter describes the numerous super-radiance experiments. It demonstrates that conditions for the experimental realization of super-radiance do exist, that is under appropriate circumstances super-radiance is not suppressed by de-phasing or inhomogeneous relaxation. The experiments can be divided into two classes with respect to the time scale of the relaxation processes. In gases, the relaxation times are typically in the nanosecond range, whereas in solids these processes are faster, by at least one or two orders of magnitude. The chapter gives a description of some of these experiments both in gases and in solids.
This chapter considers super-radiance on an elementary level in the sense that the main notions and concepts of the phenomenon will be treated as they evolved in the course of the early studies starting with the classical works by R. H. Dicke. It considers super-radiance from a system with dimensions small compared with the wavelength of the emission that is the Dicke model. The chapter discusses the results to be obtained are also applicable to the single-mode super-radiance of an extended system. It then considers mainly the cooperative spontaneous emission of a collection of N identical atoms confined within a small volume. If the audience wish to investigate the super-radiance of an extended system, the dimensions of which exceed the emission wavelength, the semiclassical method is more convenient. In essence, the semiclassical approach discussed in the chapter combines the quantum mechanical treatment of the atomic system that uses the density matrix formalism with the classical treatment of the radiation field.
This chapter discusses the two sources: the free-electron laser and the electron-hole plasma in semiconductors. It also discusses the atomic nuclei that may super-radiate in the gamma-ray domain may at least in principle be another non-conventional source of super-radiance. The chapter describes an interesting new experiment of De Voe and Brewer, who have directly observed for the first time the effect of two-atom collective emission, just as predicted by R. H. Dicke in 1954 when the whole subject of super-radiance was launched. It then describes the super-radiance effects in synchrotron radiation. The chapter outlines the quantum approach to the problem of free-electron laser. The gamma-ray device is expected to work on a recoilless Mossbauer transition from an excited level pumped from a pure sample of a long-lived isomer. The chapter explains another system that has a continuous energy spectrum and which is a possible source of super-radiance. It is the electron-hole plasma in semiconductors.
This chapter is devoted mainly to the description and theoretical interpretation of super-radiance experiments in a multi-proton spin system. It considers the simplest case of multi-spin super-radiance in a cavity. The spin magnetic moment in a static magnetic field is a perfect realization of the 'two-level' atomic model. In fact, this physical system was the origin of this model, and was extended to a wide class of resonant phenomena, including super-radiance. A refined description of super-radiance of magnetic spins in solids will probably have to take into account the dependence of the relaxation rate on the magnitude of the magnetization, using as a basis the concept of spin temperature. The chapter shows the limitations of the method of Bloch equations for describing NMR effects in solids, as mentioned earlier in the literature. It attempts to observe super-radiance in the radiofrequency domain was reported by P. Bosiger and their group, using a nuclear subsystem of Al atoms in ruby crystals.
This introduction presents an overview of the key concepts discussed in the subsequent chapters of this book. The book discusses the main features of super-radiance using some simplified models. It presents a review of experimental work on super-radiance. The book also presents a generalization of the Wigner–Weisskopf approach to the N -atom system using a diagram method of non-stationary perturbation theory. It discusses several correlation functions for the field and the polarization, which characterize the coherence properties of super-radiation. The book uses the semiclassical approach to investigate the influence of de-phasing processes on radiation efficiency, or in other words, the influence of homogeneous and inhomogeneous broadening of the spectral line on the dynamics and spectrum of super-radiance. It considers the boundary value problem for the transmission and reflection of short pulses, taking into account the local field correction. Two effects are of special interest: the population-dependent frequency shift and the possibility of mirror-less bistability of ultra-short electromagnetic pulses.
General properties of super-radiance--cooperative spontaneous emission of multi-atomic systems are explained on the basis of some simple models. First we consider spontaneous emission of two atoms separated from each other by a distance less than the wavelength. Then the kinetics of super-radiance of N-atomic system in a small volume are described. The main attention we put into super-radiance photon statistics. We show the Poissonian statistics for the main part of super-radiance pulse and demonstrate the special conditions when it can be Sub-Poissonian one.
Recent advances in optical studies of condensed matter systems have led to the emergence of a variety of phenomena that have conventionally been studied in the realm of quantum optics. These studies have not only deepened our understanding of light–matter interactions but have also introduced aspects of many-body correlations inherent in optical processes in condensed matter systems. This paper is concerned with the phenomenon of superradiance (SR), a profound quantum optical process originally predicted by Dicke in 1954. The basic concept of SR applies to a general N body system, where constituent oscillating dipoles couple together through interaction with a common light field and accelerate the radiative decay of the whole system. Hence, the term SR ubiquitously appears in order to describe radiative coupling of an arbitrary number of oscillators in many situations in modern science of both classical and quantum description. In the most fascinating manifestation of SR, known as superfluorescence (SF), an incoherently prepared system of N inverted atoms spontaneously develops macroscopic coherence from vacuum fluctuations and produces a delayed pulse of coherent light whose peak intensity ∝N2. Such SF pulses have been observed in atomic and molecular gases, and their intriguing quantum nature has been unambiguously demonstrated. In this review, we focus on the rapidly developing field of research on SR phenomena in solids, where not only photon-mediated coupling (as in atoms) but also strong Coulomb interactions and ultrafast scattering processes exist. We describe SR and SF in molecular centers in solids, molecular aggregates and crystals, quantum dots, and quantum wells. In particular, we will summarize a series of studies we have recently performed on semiconductor quantum wells in the presence of a strong magnetic field. In one type of experiment, electron-hole pairs were incoherently prepared, but a macroscopic polarization spontaneously emerged and cooperatively decayed, emitting an intense SF burst. In another type of experiment, we observed the SR decay of coherent cyclotron resonance of ultrahigh-mobility 2D electron gases, leading to a decay rate that is proportional to the electron density. These results show that cooperative effects in solid-state systems are not merely small corrections that require exotic conditions to be observed; rather, they can dominate the nonequilibrium dynamics and light emission processes of the entire system of interacting electrons.