Table Of ContentThe Physical
Reality of Applied
Quantum Optics
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Vatarescu, Andre. The Physical Reality of Applied Quantum Optics : Physics Versus Mathematics, Cambridge Scholars
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Vatarescu, Andre. The Physical Reality of Applied Quantum Optics : Physics Versus Mathematics, Cambridge Scholars
The Physical
Reality of Applied
Quantum Optics
:
Physics versus Mathematics
By
Andre Vatarescu
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Vatarescu, Andre. The Physical Reality of Applied Quantum Optics : Physics Versus Mathematics, Cambridge Scholars
The Physical Reality of Applied Quantum Optics:
Physics versus Mathematics
By Andre Vatarescu
This book first published 2021
Cambridge Scholars Publishing
Lady Stephenson Library, Newcastle upon Tyne, NE6 2PA, UK
British Library Cataloguing in Publication Data
A catalogue record for this book is available from the British Library
Copyright © 2021 by Andre Vatarescu
All rights for this book 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, recording or otherwise, without
the prior permission of the copyright owner.
ISBN (10): 1-5275-6753-2
ISBN (13): 978-1-5275-6753-5
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Vatarescu, Andre. The Physical Reality of Applied Quantum Optics : Physics Versus Mathematics, Cambridge Scholars
CONTENTS
Chapter One ................................................................................................ 1
Introduction
1.1 A Historical Perspective
1.2 An Outline of This Book
1.3 Remarks
References
Chapter Two ............................................................................................. 14
The Quantum Rayleigh Coupling of Optical Waves
2.1 Coupled-Wave Interactions in a Homogeneous Dielectric Medium
2.1.1 Inter-quadrature Coupling through Optically Linear
Parametric Interactions
2.1.2 The operation of optical waveguide directional couplers
2.2 Phase-Sensitive Amplification of Optical Power
2.2.1 Equations of motion for interacting optical waves in a
dielectric medium
2.2.2 Applications of the optically linear parametric interactions
2.3 Physical Aspects of Optically Linear Parametric Interactions
2.4 Quantum Aspects of Quantum Rayleigh Coupling of Photons
.de 2.4.1 Evaluation of the spontaneously emitted power
vrese 2.4.2 Equations of motion of field operators
r sth 2.5 Conclusions
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uP The Intrinsic Optical Field of Photons
sra 3.1 Instantaneous Measurements of Photonic Beam Fronts
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eg 3.3 Field Quantisation without Quantum Harmonic Oscillators
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Vatarescu, Andre. The Physical Reality of Applied Quantum Optics : Physics Versus Mathematics, Cambridge Scholars
vi Contents
3.5 Coherence of Dynamic Number States
3.6 Sub-Poissonian Distribution of Photons
3.7 Conclusions
Appendix - Alternative derivation of the dynamic
and coherent number states
References
Chapter Four ............................................................................................. 58
Photonic Quantum Noise Reduction
4.1 Parametric Processes for Quantum Noise Reduction
4.2 Quantum Optic Second-Order Parametric Equations of Motion
4.3 Phase-dependent Gain Coefficients and Phase-pulling Effects
4.4 Simultaneous Amplification of a Signal and Sub-Poissonian
Distributions of Photons
4.4.1 Optically linear parametric directional couplers
4.4.2 Electro-optic converters
4.5 Physical aspects of phase-sensitive gain coefficients
4.6 Conclusions
Appendix A - The deficiencies of the Bogoliubov-type solutions
Appendix B – The Quantum Regime of Electro-optic Modulation
References
Chapter Five ............................................................................................. 80
The Quantum Regime Operation of Dielectric Devices
5.1 The Role of the Rayleigh Quantum Scattering
5.1.1. The pure quantum state of individual measurements
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Vatarescu, Andre. The Physical Reality of Applied Quantum Optics : Physics Versus Mathematics, Cambridge Scholars
The Physical Reality of Applied Quantum Optics vii
Chapter Six ............................................................................................. 103
Photonic Coincidences and Correlations
6.1 Deficiencies of the Ensemble Quantum State
6.2 The Pure State of Single Measurements
6.2.1 The second-order interference
6.2.2 The fourth-order interference
6.3 The Probability Amplitude as a Consequence of Optical Field
Detection
6.4 Correlations of the Balanced Homodyne Detection
6.4.1 Continuous-variable optical quantum states
6.4.2 The “miracle” of quantum imaging
6.5 Conclusions
References
Chapter Seven ......................................................................................... 127
Quantum Rayleigh Annihilation of Entangled Photons
7.1 Spontaneous Emission and Polarisation Rotation
7.2 Quantum Correlation Functions
7.2.1 Pure states of polarization
7.2.2 The Heisenberg uncertainty of predicted values
7.2.3 Mixed states of polarisation
7.3 Physical Aspects of Simultaneous Measurements of Independent
Photons
7.4 Quantum Local Realism
7.5 The Deficiencies of the Concept of Quantum Nonlocality
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Vatarescu, Andre. The Physical Reality of Applied Quantum Optics : Physics Versus Mathematics, Cambridge Scholars
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Vatarescu, Andre. The Physical Reality of Applied Quantum Optics : Physics Versus Mathematics, Cambridge Scholars
CHAPTER ONE
INTRODUCTION
Over the past 60 years, the field of Quantum Optics has seen
technological developments in various attempts to develop sources emitting
a single-photon per radiation mode, as well as corresponding photodetectors
for resolving very low numbers of photons (e.g., Hepp et al. [1]; Lodahl et
al. [2]).
Quantum Optics (e.g., Garrison and Chiao [3]) is predicated on the
superposition and entanglement of apparently single-photon number states.
The processing of such quantum states by means of beam splitters is
supposed to enhance the performance and sensitivity of various information
assessing operations. The theoretical model is based on the mixed quantum
states of an ensemble of measurements, which provides time-independent
distributions for the numerical evaluation of probability amplitudes
associated with alternative propagation pathways of one single-photon.
The detection and measurement of correlated photons and their degrees
of freedom constitute the experimental demonstration of concepts in
Quantum Optics. The three stages of generation, propagation, and detection
.d impact, in various ways, on the properties of measured outcomes.
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Vatarescu, Andre. The Physical Reality of Applied Quantum Optics : Physics Versus Mathematics, Cambridge Scholars
