The Quantum Phase Operator

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The Quantum Phase Operator

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Author : Stephen M. Barnett
language : en
Publisher: Taylor & Francis
Release Date : 2007-04-27

The Quantum Phase Operator written by Stephen M. Barnett and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-27 with Science categories.

Describing the phase of an electromagnetic field mode or harmonic oscillator has been an obstacle since the early days of modern quantum theory. The quantum phase operator was even more problematic with the invention of the maser and laser in the 1950s and 1960s. This problem was not solved until the Pegg-Barnett formalism was developed in the 1980

Phase In Optics

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Author : Myron W Evans
language : en
Publisher: World Scientific
Release Date : 1998-10-05

Phase In Optics written by Myron W Evans and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-10-05 with Science categories.

This book is devoted to the classical and quantum phases in wave and particle optics from the viewpoint of both theory and applications. Wave and beam light optics are reviewed in considerable detail, featuring optical imaging and holography in linear optics and phase conjugation methods in nonlinear optics. Photon optics is embodied here as quantum optics with the modes treated as quantum harmonic oscillators. The importance of the Wigner function for the phase space description in the context of canonical quantization is respected and the method of quasidistributions related to operator orderings in the second-quantized theory is exposed. The history of the quantum phase problem, characterized by renewed interest in the solution to the problem, is included and brought up to date. Approaches based on exponential phase operators, discrete phase states, the enlargement of the Hilbert space of the harmonic oscillator leading to the phase representations and distributions, together with solutions motivated by the quasidistributions, are introduced. The operational approach to the quantum phase is contrasted with the previous formalisms. The results of the study of the coherent states and the ordinary squeezed states from the viewpoint of the quantum phase and those of the analysis of the quantum statistics of phase-related special states of the light field are provided. The quantum phase is also treated with respect to quantum interferometry, particle interferometry, nonlinear optical processes, and quantum nondemolition measurements.The book will prove indispensable to research workers in general optics, quantum optics and electronics, optoelectronics, and nonlinear optics, as well as to students of physics, optics, optoelectronics, photonics, and optical engineering.

Many Body Boson Systems

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Author : André F. Verbeure
language : en
Publisher: Springer
Release Date : 2010-11-25

Many Body Boson Systems written by André F. Verbeure and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-25 with Mathematics categories.

This book offers a modern way of dealing with the problems of equilibrium states of Bose systems. Starting with the variation principle of statistical mechanics and the energy-entropy balance principle as equilibrium criteria, results for general boson systems and models are explicitly derived using simple functional analytic calculus. Bridging the gap between general theoretical physics and the phenomenological research in the field of Bose systems, this book provides an insight into the fascinating quantum world of bosons. Key topics include the occurrence of BEC and its intimate structural relation with the phenomena of spontaneous symmetry breaking and off-diagonal long range order; the condensate equation; the issue concerning the choice of boundary conditions; solvable versus non-solvable boson models; the set of quasi-free boson states; the role of dissipative perturbations; and the surprising but general relation between general quantum fluctuations and boson systems. Only some knowledge of quantum mechanics and undergraduate algebra and analysis is assumed. This textbook brings students and researchers smoothly from general concepts to vivid applications.

Mathematical Aspects Of Weyl Quantization And Phase

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Author : Daniel Abrom Dubin
language : en
Publisher: World Scientific
Release Date : 2000-06-12

Mathematical Aspects Of Weyl Quantization And Phase written by Daniel Abrom Dubin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-06-12 with Science categories.

This book analyzes in considerable generality the quantization-dequantization integral transform scheme of Weyl and Wigner, and considers several phase operator theories. It features: a thorough treatment of quantization in polar coordinates; dequantization by a new method of “motes”; a discussion of Moyal algebras; modifications of the transform method to accommodate operator orderings; a rigorous discussion of the Dicke laser model for one mode, fully quantum, in the thermodynamic limit; analysis of quantum phase theories based on the Toeplitz operator, the coherent state operator, the quantized phase space angle, and a sequence of finite rank operators.

Introduction To Photon Communication

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Author : Cherif Bendjaballah
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-11

Introduction To Photon Communication written by Cherif Bendjaballah and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-11 with Science categories.

In recent years, progress in the generation of squeezed states of light, mainly characterized by a reduced noise property, has stimulated important work in relation to their potential use to improve the sensitivity of optical communication systems. These notes are devoted to the detection and information processing of optical signals at very low levels of power. A survey of recent developments from the quantum and classical points of view is presented. Ultimate limits of performance under the criteria of detection and information are established. Some of the results are detailed and may be utilized for the design of practical systems of communication using present technology. The book addresses physicists and engineers interested in present and future developments in optical communications.

Progress In Optics

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Author :
language : en
Publisher: Elsevier
Release Date : 1996-06-13

Progress In Optics written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-06-13 with Science categories.

Volume XXXV contains six review articles.The first article is a discussion on transverse light patterns in non-linear media, lasers and wide aperture interferometers. The next article deals with the detection and spectroscopic studies of single molecules in transparent solids at low temperature. The isolated spectral line of a single molecule makes it possible to perform basic quantum measurements, and allows probing in unprecedented detail of the surrounding solid matrix. The article also includes some suggestions for future research in this field.The next article reviews interferometric techniques for retrieving multispectral images with a large number of spectral channels. Special attention is paid to the theory of interferometric multispectral imaging which unifies the theories of coherence based image retrieval and spectrum recovery. Various techniques are compared, especially in terms of signal-to-noise-ratio.

Linear Operators For Quantum Mechanics

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Author : Thomas F. Jordan
language : en
Publisher: Courier Corporation
Release Date : 2012-09-20

Linear Operators For Quantum Mechanics written by Thomas F. Jordan and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-20 with Science categories.

Suitable for advanced undergraduates and graduate students, this compact treatment examines linear space, functionals, and operators; diagonalizing operators; operator algebras; and equations of motion. 1969 edition.

Phase In Optics

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Author : Vlasta Pe?inov 
language : en
Publisher: World Scientific
Release Date : 1998

Phase In Optics written by Vlasta Pe?inov  and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Science categories.

The history of the quantum phase problem, characterized by renewed interest in the solution to the problem, is included and brought up to date.

Quantum Phase And Phase Dependent Measurements

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Author : Wolfgang Schleich
language : en
Publisher:
Release Date : 1993

Quantum Phase And Phase Dependent Measurements written by Wolfgang Schleich and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Phase space (Statistical physics) categories.

Condensation And Coherence In Condensed Matter Proceedings Of The Nobel Jubilee Symposium

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Author : T Claeson
language : en
Publisher: World Scientific
Release Date : 2003-03-21

Condensation And Coherence In Condensed Matter Proceedings Of The Nobel Jubilee Symposium written by T Claeson and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-03-21 with Science categories.

In 2001, the Nobel Foundation celebrated the 100th anniversary of the first Nobel Prize, and all previous Nobel laureates were invited to attend the Nobel ceremonies in Stockholm. This gave an excellent opportunity for arranging jubilee symposia with topics that would attract several of the laureates. The chosen subject of “Condensation and Coherence in Condensed Systems” attracted sixteen Nobel laureates and another thirty-five leading scientists.The idea was to bring scientists together from several related subdisciplines: atomic physics, quantum optics, and condensed matter physics, for cross-breeding of ideas, concepts, and experience. Subjects like phase transitions in strongly coupled systems, Bose-Einstein condensation in weakly coupled systems, macroscopic quantum phenomena, coherence in mesoscopic structures, and quantum information were intensively discussed from different points of view. Coherence phenomena in condensed systems were emphasized. A special session was devoted to the emerging field of quantum computing, with experimental and theoretical results reported for different types of qu-bits. The 2001 Nobel Prize awarded to Eric Cornell, Wolfgang Ketterle, and Carl Wieman, “for the achievement of Bose-Einstein condensation in dilute gases of alkali atoms, and for early fundamental studies of the properties of the condensates,” gave an extra flavor to the theme of the Centennial Symposium.