The Quantum Phase Operator

The Quantum Phase Operator : A Review

  • Electronic book text
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Description

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 1980s. Edited by one of the scientists who created this key solution, The Quantum Phase Operator: A Review charts the development of phase and angle operators from their first appearance to modern theory. Bringing together vital works that have been published on the subject, the book presents the ideas that led to the current theory of the phase operator and provides a complete picture of the progress that has followed since then. With introductions by the editors to put the papers in context and unify the content of the book, each section focuses on a different aspect of phase operators. The editors also chronologically organize the papers within the sections to highlight how scientific thought has evolved, if at all, over time.A collection of important relevant material that is scattered throughout the literature, this volume chronicles the history of the various facets of the quantum phase operator, promoting a solid foundation in quantum theory.show more

Product details

  • Electronic book text | 504 pages
  • Taylor & Francis Inc
  • CRC Press Inc
  • Florida, United States
  • 71 Illustrations, black and white
  • 1584887613
  • 9781584887614

Table of contents

PRECURSORSThe quantum theory of the emission and absorption of radiationAmplitude and phase uncertainty relationsOn the uncertainty relation for Lz and oOn the commutator [Lz, o]Quantum mechanical phase and time operatorThe quantum theory of lightPhase in quantum opticsTHE PHASE OPERATOR Unitary phase operator in quantum mechanicsHermitian phase operator ? in the quantum theory of light On the Hermitian optical phase operatorPhase properties of the quantized single-mode electromagnetic fieldQuantum theory of rotation anglesQuantum optical phaseMATHEMATICAL ELABORATIONS Wigner function for number and phaseQuantum optical phase and canonical conjugationLimiting procedures for the optical phase operatorConsistency of quantum descriptions of phaseCanonical and measured phase distributionsNumber-phase Wigner function on Fock spaceAntinormal ordering of phase operators and the algebra of weak limitsPegg-Barnett operators of infinite rankPhase operators on Hilbert spacePHASE DYNAMICS AND UNCERTAINTIES Phase properties of squeezed states of lightA new approach to optical phase diffusionQuantum theory of optical phase correlationsPhysical number phase intelligent and minimum uncertainty states of lightPhase optimized quantum states of lightPhase fluctuations and squeezingPhase properties of linear optical amplifiersTHEORY OF PHASE MEASUREMENTPhase measurementsOn measuring extremely small phase fluctuationsAdaptive phase measurements of optical modes: Going beyond the marginal Q distributionPhase measurements by projection synthesisQuantum phase distribution by projection synthesisMeasuring the phase variance of lightQuantum phase distribution by operator synthesisSingle-shot measurement of quantum optical phaseBinomial states and the phase distribution measurement of weak optical fieldsEXPERIMENTAL DEMONSTRATIONS Experimental determination of number-phase uncertainty relationsMeasurement of number-phase uncertainty relations for optical fieldsAdaptive homodyne measurement of optical phaseUncertainty principle for angular position and angular momentumMinimum uncertainty states of angular momentum and angular positionTIME Time in a quantum mechanical worldComplement of the HamiltonianREFERENCES APPENDIXshow more