RECENT DEVELOPMENTS IN QUANTUM OPTICS RECENT DEVELOPMENTS IN QUANTUM OPTICS Edited by Ramarao Inguva The University of Wyoming Laramie, Wyoming PLENUM PRESS • NEW YORK AND LONDON Librarv of Congress Cataloglng-In-Publlcatlon Data Recent developments in quantum optics I edited by Ramarao Inguva. p. cm. ·Proceedings of the International Conference on Quantum Optics, held January 5-10, 1991, in Hyderabad, India"--T.p. verso. Includes bibliographical references and index. ISBN 0-306-44403-8 1. Quantum optics--Congresses. I. Inguva, Ramarao, 1941- 11. International Conference on Quantum Optics (1991 , Hyderabad, India) QC446.15.R43 1993 535--dc20 92-46382 CIP Proceedings of the International Conference on Quantum Optics, held January 5-10, 1991, in Hyderabad, India ISBN 0-306-44403-8 © 1993 Plenum Press, New York A Division of Plenum Publishing Corporation 233 Spring Street, New York, N.Y. 10013 All rights reserved No part of this book may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording, or otherwise, without written permission from the Publisher PREFACE This volume is composed of papers (invited and contributed) presented at the International Conference on Coherence and Quantum Optics held at the University of Hyderabad January 5-January 10, 1991. It has been organized by Professor Girish Agarwal and his colleagues at the School of Physics, University of Hyderabad, Hyder abad, India under partial support from the Department of Science and Technology, Government of India, International Center for Theoretical Physics, Trieste, Italy and the National Science Foundation, USA. Without the untiring efforts of Prof. Girish Agarwal and the members of his quantum office group, the Conference and the present volume would not have been possible. Some extraordinary circumstances resulted in a delay of the publication of the present volume. Our sincere apologies to all the authors. We deeply regret the inconvenience caused due to the delay. A debt of gratitude is due to Ms. Kim Bella for the excellent typing job of the different versions and the final version of the manuscript. It is a pleasure to acknowl edge the efforts of Ms. Pat Vann, Mr. Greg Safford and Mr. Eric Katz of the Plenum Publishing, without whose interest and persistence this volume would not have been possible. v CONTENTS QUANTUM OPTICS: THEORY The Quantum Mechanics of Particles in Time-Dependent Quadrupole Fields Roy J. Glauber ............................................................ 1 Localization of Photons in Random and Quasiperiodic Media S. Dutta Gupta .......................................................... 15 Enhanced Fundamental Linewidth of a Laser Due to Outcoupling W.A. Hamel, M.P. van Exter, and J.P. Woerdman ........................ 23 Einstein-Podolsky-Rosen Correlations Virendra Singh ........................................................... 37 Simultaneously Sharp Wave and Particle-Like Property of Single Photon States in a Two-Prism Experiment Partha Ghose and Dipankar Home ........................................ 43 Wigner Function Description of Nonlocal Features of Quantum Fields Generated in Nonlinear Optical Processes A. Venugopalan and R. Ghosh ............................................ 47 Near Dipole-Dipole Interaction Effects in Quantum and Nonlinear Optics Charles M. Bowden ...................................................... 55 Quantum Field Theory of Dielectrics and Soli tons P.D. Drummond ......................................................... 65 Ten Years of Positive P-Representation C.W. Gardiner and P.D. Drummond ...................................... 77 Thermofield Dynamics and its Applications to Quantum Optics S. Chaturvedi ............................................................ 87 Supersymmetry in Quantum Optics V.A. Andreev, A.B. Klimov, and P.B. Lerner ............................. 97 vii Polarization Invariance of Light Fields and P-Scalar Biphoton Light V.P. Karassiov .......................................................... 101 Generalized Commutation Relations for Single Mode Oscillator R. Sandhya ............................................................. 105 Quantum Jumps in a Coherently Shelved Atomic System B.N. Jagatap and S.V. Lawande ......................................... 109 Quantum Optical Approach to Recombination S. Ravi ................................................................. 113 Geometric Phase Associated with Spinor Rotations Apoorva G. Wagh and Veer Chand Rakhecha ............................ 117 SQUEEZED AND NON-CLASSICAL LIGHT The One Atom Maser and the Generation of Nonclassical Light G. Rempe and H. Walther .............................................. 123 Observation of a Nonclassical Berry's Phase in Quantum Optics R.Y. Chiao, P.G. Kwiat, I.H. Deutsch, and A.M. Steinberg ............... 145 Invariants and Schrodinger Uncertainty Relation for Nonclassical Light V.I. Man'ko ............................................................. 159 Noise in Two Mode Squeezed States and Thermo Field Dynamics H. Umezawa ............................................................ 171 Interaction of Atoms with Squeezed Radiation R.R. Puri ............................................................... 183 Wigner Function for Coherent Superposition of Two Squeezed States J.K. Sharma ............................................................ 197 Exponential of a Quadratic in Boson Operators and Squeezed States Anil K. Roy and C.L. Mehta ............................................ 201 Correlated and Squeezed Coherent States of Nonstationary Quantum Systems V.V. Dodonov, A.V. Klimov, and V.I. Man'ko ........................... 205 Nonclassical Properties of States Generated by the Excitations on a Coherent State K. Tara ................................................................. 209 Phase Properties of Squeezed Number States R. Nath and Pradumn Kumar ........................................... 215 viii Optical Double Resonance from a Regular Array of N Three-Level Atoms: A Source of Macroscopic Squeezed Light Richard D'Souza, Arundhati S. Jayarao, and S.V. Lawande .............. 221 Photon Correlation and Successive Emission from a Two Level Atom in a Broadband Squeezed Vacuum B.N. Jagatap, S.V. Lawande, and Q.V. Lawande ......................... 229 Time Dependent Spectra of a Three-Level Atom in Squeezed Vacuum Arundhati S. Jayarao, Richard D'Souza, and S.V. Lawande 235 Effect of Squeezed Radiation Field on a Two Level Atom Swapan Mandal and Pradip N. Ghosh ................................... 241 Squeezing of a Weak Light Beam Using Interaction with an Intense Light Beam in a Kerr Medium Hari Prakash, N aresh Chandra, and Ranjana Prakash .................... 247 Squeezing and Quantum Noise Quenching in Optically Pumped Atomic Clocks G.M. Saxena and B.S. Mathur .......................................... 251 Properties of Squeezed Binomial States and Squeezed Negative Binomial States Amitabh Joshi and S.V. Lawande ....................................... 257 Optical Multistability at the Surface of a Medium of Two-Level Atoms M.B. Pande and S. Dutta Gupta ........................................ 265 Squeezed and Nonclassical States Due to Frequency Changes in Harmonic Oscillators S. Arun Kumar ......................................................... 269 CAVITY QED - LASERS AND MASERS Cavity Quantum Electrodynamics: Fundamental Theory of the Micromaser R.K. Bullough, N. Nayak, and B.V. Thompson .......................... 273 The Jaynes-Cummings Model Generalized: Three-Level Atoms Interacting with Two Oscillators Fritz Haake and Klaus-Dieter Harms .................................... 289 Quantum Noise Reduction in Lasers Through Nonlinear Intracavity Dynamics H. Ritsch and P. Zoller .................................................. 293 Dynamics of a Multimode Laser with Nonlinear, Birefringent Intracavity Elements Rajarshi Roy, C. Bracikowski, and G.E. James ........................... 309 Quantum Noise in Lasers and Parametric Oscillators: Inside Versus Outside Sudhakar Prasad ........................................................ 329 ix Chaos in a Single Mode Laser with Intracavity Parametric Amplification S. Dutta Gupta ......................................................... 343 Cavity QED with a Single Morse Oscillator Gautam Gangopadhyay and Deb Shankar Ray ........................... 347 Effects of Atomic Coherence on the Collapse and Revival Phenomenon in a Two Photon Jaynes-Cummings Model Amitabh Joshi and R.R. Puri ........................................... 353 Lamb Shift in Squeezed Thermal Vacuum P. Shanta ............................................................... 359 Reflection of Electromagnetic Signal from a Mirror with Large Quantum Mechanical Positional Uncertainty V.P. Bykov ............................................................. 363 COHERENCE THEORY Towards Spectroscopy of Partially Coherent Sources Emil Wolf .............................................................. 369 A Microscopic Apporach to the Wolf Effect G.V. Varada ............................................................ 383 Stiles-Crawford Effect of Second Kind in the Light of Spectral Shift Due to Source Correlation Mahesh Chander, H.C. Kandpal, J.S. Vaishya, and K.C. Joshi ........... 387 Doppler Like Frequency Shifts of Spectral Lines by Scattering from Space Time Fluctuations H.C. Kandpal, J.S. Vaishya, and K.C. Joshi ............................. 395 PHOTON STATISTICS AND INTENSE FIELD OPTICAL RESONANCE Overview of Recent Advances in Short-Pulse Strong-Field Ionization of Atoms J.H. Eberly ............................................................. 399 Quantum Optics of Strongly Driven Two-Level Atoms Thomas W. Mossberg ................................................... 409 The Optical Ring Resonator as a Model of a Two-Level A tom R.J.C. Spreeuw and J.P. Woerdman ..................................... 417 x Tailoring Atomic Response Surya P. Tewari ......................................................... 427 Generic Instabilities and Chaos in Stimulated Scattering Phenomenon J.S. Uppal, Weiping Lu, A. Johnstone, and R.G. Harrison ................ 435 Population Fluctuations in Two-Level Atoms Induced by Laser Noise Gautam Vemuri, M.H. Anderson, R.D. Jones, J. Cooper and S.J. Smith .. 455 Laser-Phase-Noise Induced Stochastic Resonance Fluorescence A.A. Rangwala, K. Wo'dkiewicz and C. Su .............................. 473 A Double Resonance Model for Lasers Without Inversion G. Bhanu Prasad ....................................................... 479 Squeezing of Classical Solitons D. Ranganathan ........................................................ 485 Ladder of Triplets in the Spectrum of Resonance Fluorescence from a Two Level Atom M. Krishna Kumari and Surya P. Tewari ................................ 489 Photon-Statistics of Stimulated Hyper Raman Scattering in an Inhomogeneously Broadened Three-Level Gaseous System P.S. Gupta and J. Dash ................................................. 495 Optoelectronic Effect in Junction Lasers and Amplifiers and their Applications P.G. Eliseev and M.A. Man'ko .......................................... 505 Some Properties of Stimulated Raman Scattering Excited by Picosecond Light Pulses G.L. Brekhovskikh, A.D. Kudryavtseva, A.1. Sokolovskaya, N.V. Tchernega, G. Rivoire, and R. Chevalier ......................................... 511 Statistical Distribution for Laboratory Generated Turbulence A.K. Razdan, B.P. Singh, S. Chopra, and M.B. Modi .................... 517 Statistical Parameters for Non-Exponentially Decaying Sources Brahm Pal Singh and S. Chopra ......................................... 521 On the Line Shapes of Saturated Absorption Spectral Profiles in Discharge Plasmas B.N. Jagtap, G.K. Bhowmick, S.A. Ahmad, and V.B. Kartha ............ 525 xi OPTICAL BISTABILITY, FOUR WAVE MIXING AND PHASE CONJUGATION Excitonic Bistability in MQW Structures Under Guided Wave Conditions G.P. Bava, F. Casteli, P. Debernardi, and L.A. Lugiato .................. 529 Optical Phase Conjugation in Magnetoactive Doped Semiconductors M. Bose, P. Aghamkar, and P.K. Sen .................................... 541 Raman Induced Phase Conjugation in Benzene Santosh Kumar Saha .................................................... 547 New Resonances in Four-Wave Mixing Due to Velocity-Changing Collisions Suneel Singh and Charles M. Bowden ................................... 553 Bistable Oscillations in Phase Conjugate Resonators with BaTI0 3 P. Venkateswarlu, M. Dokhanian, P.C. Sekhar, H. Jagannath, and M.C. George .................................................... 557 Resonant Third Order Optical Nonlinearity in STYRL 9 R. Vijaya, y'V.G.S. Murti, K.R. Murali, and T.A. Prasada Rao 563 Index ...................................................................... 567 xii
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