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

International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems

Quantum Stochastic Theory of Optical Bistability

H. J. Carmichael, Sarben Sarkar

Published Jan 1, 1985• 0 citations
Publisher

Abstract

Quantum-statistical theories attracted considerable attention in the early history of optical bistability.(1) More recently, there has been less activity in this area; perhaps due partially to the lack of experimental work, and partially to the increasing interest in instabilities and chaos. It has now been demonstrated, however, that experiments which come very close to realizing the theoretical ideal—two-level homogeneously broadened atoms in a ring cavity— can be performed with quantitative precision. (2) Moreover, the rising importance of optical chaos is reason for directing attention towards, rather than away from, quantum-statistical studies, since there questions concerning quantum chaos might be addressed.

DOI
10.1364/idlnos.1985.wd3

Related papers

Dynamic Instabilities In Optical Bistability

Mark G. Raizen, Luis A. Orozco, Albert T. Rosenberger +1 more

An experimental study is presented of dynamic instabilities in optical bistability with two-state atoms in a cavity. The basic conceptual simplicity of the system as well as the degree to which it has been quantitatively characterized allows precise comparisons between theory and experiment. Instability boundaries in the parameter space of atomic and cavity detunings, of atomic cooperativity and of intracavity intensity are discussed and compared with theory.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Jan 8, 1987•1 citation

Frontiers in quantum optics

Sarben Sarkar, Edward R. Pike

The field of quantum optics has progressed rapidly in the last twenty five years with the advent of the laser. Over much of this period the phenomena studied could be described adequately by semiclassical treatments. Quite recently however, there has been a revival of interest in genuinely quantum mechanical effects. The Malvern Symposium of December 1985 brought together world experts for a meeting which concentrated largely on these quantum effects. The presentations in this unique meeting combine review material with the very latest results and so will be of value to students of quantum optics and measurement theory at all levels. The first articles cover the exciting topic of the generation of squeezed states of light in the laboratory, and their possible uses. Experimental success has been long sought and very recently attained. The reader will find presented the state of the art in this field. Next to lasing itself, optical bistability has been the most widely studied phenomenon in quantum optics, largely for its technological promise. However, it also provides a fundamental system to study quuantum effects. Recent theoretical studies of optical bistability with small numbers of atoms are surveyed. In such situations quantum features such as antibunching become significant, and the articles in this volume should be a guide to those venturing into this challenging area. In other articles discussions of fluctuations from other noise sources and instabilities in optical bistabilty are presented in a clear and interesting way. Perhaps the least classical state on quantum optics is that describing a single photon. Recent experiments which produce such states are reviewed. A theoretical review of the photon together with some new material is given which delves deeply into relativistic quantum field theory in order to describe the concept of weakly localised photon states. The material here is very rarely presented in the context of quantum optics. The history of the theory of the quantum fluctuations in a laser is then reviewed. An off-shoot of this theory is the study of quantum chaos in dissipative systems and recent results in this new area are given in a succeeding article. There are further stimulating articles on Rydberg atom systems and quantum electrodynamics. The volume ends with an entertaining and incisive study of quantum measurement problems, such as the Schrodinger cat papadox, using concepts and measuring devices found in quantum optics.other_titles

Adam Hilger eBooks•Jan 1, 1986•83 citations

Instabilities and Chaos in Quantum Optics: Semi-Classical Theory

E R Pike frs, Sarben Sarkar

Abstract The theoretical description of radiation − matter interactions in terms of master equations can be approximated by a semi-classical theory when quantum fluctuations are small. This approach, the exact definition of which will emerge later, has been enormously influential in understanding instabilities and chaos in quantum optics. Although much of the theory (and experiment) has been done only in the last few years, there were already indications in the early experiments on ruby lasers of ‘spiky’ behaviour. Instabilities are often due to competition between different modes which are coupled together non-linearly. Consequently we will first describe qualitatively the modes that are important when we deal with optical systems in Fabry-Perot or ring cavities.

•Dec 7, 1995•0 citations

Overview of Optical Instabilities

Luigi Lugiato

The last decade witnessed a remarkable research activity, both theoretical and experimental, on the unstable phenomena which arise in optical systems. The development of the theory of optical bistability in the seventies played a major role in stimulating the interest in this subject. Most of this research concerned the onset of spontaneous oscillations and/or chaotic behaviour, and I will review some general theoretical results and few experiments that confirm them.

Topical Meeting on Optical Bistability (OB)•Jan 1, 1988•0 citations

Overview of the Theory of Optical Bistability

H. J. Carmichael

The theory of optical bistability can be developed at various levels of sophistication.(1) In this overview I have chosen an approach which I hope will make the simplicity and generality of the phenomenon clear, and be suited to the emphasis of this meeting. I will describe a deterministic, semiclassical theory of optical bistability, based on coupled Maxwell-Bloch equations. Statistical and quantum statistical theories will not be included. I also limit my attention to questions concerning steady states and their stability, leaving the theory of higher bifurcations to other speakers.

International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems•Jan 1, 1985•0 citations

Study of Stochastic Resonance in a Three-level Atomic Optical Bistability System

Amitabh Joshi, Haibin Wu, Min Xiao

Stochastic-resonance is experimentally demonstrated in optical bistability from an optical ring cavity containing three-level (A-type) rubidium atoms. The results obtained match well qualitatively with the theoretical predictions of the generic model for the SR phenomenon.

The Rochester Conferences on Coherence and Quantum Optics and the Quantum Information and Measurement meeting•Jan 1, 2007•0 citations
Quantum-statistical theories attracted considerable attention in the early history of optical bistability.(1) More recently, there has been less activity in this area; perhaps due partially to the lack of experimental work, and partially to the increasing interest in instabilities and chaos. It has now been demonstrated, however, that experiments which come very close to realizing the theoretical ideal—two-level homogeneously broadened atoms in a ring cavity— can be performed with quantitative precision. (2) Moreover, the rising importance of optical chaos is reason for directing attention towards, rather than away from, quantum-statistical studies, since there questions concerning quantum chaos might be addressed.
The field of quantum optics has progressed rapidly in the last twenty five years with the advent of the laser. Over much of this period the phenomena studied could be described adequately by semiclassical treatments. Quite recently however, there has been a revival of interest in genuinely quantum mechanical effects. The Malvern Symposium of December 1985 brought together world experts for a meeting which concentrated largely on these quantum effects. The presentations in this unique meeting combine review material with the very latest results and so will be of value to students of quantum optics and measurement theory at all levels. The first articles cover the exciting topic of the generation of squeezed states of light in the laboratory, and their possible uses. Experimental success has been long sought and very recently attained. The reader will find presented the state of the art in this field. Next to lasing itself, optical bistability has been the most widely studied phenomenon in quantum optics, largely for its technological promise. However, it also provides a fundamental system to study quuantum effects. Recent theoretical studies of optical bistability with small numbers of atoms are surveyed. In such situations quantum features such as antibunching become significant, and the articles in this volume should be a guide to those venturing into this challenging area. In other articles discussions of fluctuations from other noise sources and instabilities in optical bistabilty are presented in a clear and interesting way. Perhaps the least classical state on quantum optics is that describing a single photon. Recent experiments which produce such states are reviewed. A theoretical review of the photon together with some new material is given which delves deeply into relativistic quantum field theory in order to describe the concept of weakly localised photon states. The material here is very rarely presented in the context of quantum optics. The history of the theory of the quantum fluctuations in a laser is then reviewed. An off-shoot of this theory is the study of quantum chaos in dissipative systems and recent results in this new area are given in a succeeding article. There are further stimulating articles on Rydberg atom systems and quantum electrodynamics. The volume ends with an entertaining and incisive study of quantum measurement problems, such as the Schrodinger cat papadox, using concepts and measuring devices found in quantum optics.other_titles
Abstract The theoretical description of radiation − matter interactions in terms of master equations can be approximated by a semi-classical theory when quantum fluctuations are small. This approach, the exact definition of which will emerge later, has been enormously influential in understanding instabilities and chaos in quantum optics. Although much of the theory (and experiment) has been done only in the last few years, there were already indications in the early experiments on ruby lasers of ‘spiky’ behaviour. Instabilities are often due to competition between different modes which are coupled together non-linearly. Consequently we will first describe qualitatively the modes that are important when we deal with optical systems in Fabry-Perot or ring cavities.
The theory of optical bistability can be developed at various levels of sophistication.(1) In this overview I have chosen an approach which I hope will make the simplicity and generality of the phenomenon clear, and be suited to the emphasis of this meeting. I will describe a deterministic, semiclassical theory of optical bistability, based on coupled Maxwell-Bloch equations. Statistical and quantum statistical theories will not be included. I also limit my attention to questions concerning steady states and their stability, leaving the theory of higher bifurcations to other speakers.