The Quantum Phase Operator

The Quantum Phase Operator : A Review

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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 more

Product details

  • Hardback | 504 pages
  • 180.3 x 256.5 x 33mm | 1,043.27g
  • Taylor & Francis Inc
  • Washington, United States
  • English
  • 71 black & white illustrations
  • 1584887605
  • 9781584887607

Table of contents

PRECURSORS The quantum theory of the emission and absorption of radiation Amplitude and phase uncertainty relations On the uncertainty relation for Lz and o On the commutator [Lz, o] Quantum mechanical phase and time operator The quantum theory of light Phase in quantum optics THE PHASE OPERATOR Unitary phase operator in quantum mechanics Hermitian phase operator ? in the quantum theory of light On the Hermitian optical phase operator Phase properties of the quantized single-mode electromagnetic field Quantum theory of rotation angles Quantum optical phase MATHEMATICAL ELABORATIONS Wigner function for number and phase Quantum optical phase and canonical conjugation Limiting procedures for the optical phase operator Consistency of quantum descriptions of phase Canonical and measured phase distributions Number-phase Wigner function on Fock space Antinormal ordering of phase operators and the algebra of weak limits Pegg-Barnett operators of infinite rank Phase operators on Hilbert space PHASE DYNAMICS AND UNCERTAINTIES Phase properties of squeezed states of light A new approach to optical phase diffusion Quantum theory of optical phase correlations Physical number phase intelligent and minimum uncertainty states of light Phase optimized quantum states of light Phase fluctuations and squeezing Phase properties of linear optical amplifiers THEORY OF PHASE MEASUREMENT Phase measurements On measuring extremely small phase fluctuations Adaptive phase measurements of optical modes: Going beyond the marginal Q distribution Phase measurements by projection synthesis Quantum phase distribution by projection synthesis Measuring the phase variance of light Quantum phase distribution by operator synthesis Single-shot measurement of quantum optical phase Binomial states and the phase distribution measurement of weak optical fields EXPERIMENTAL DEMONSTRATIONS Experimental determination of number-phase uncertainty relations Measurement of number-phase uncertainty relations for optical fields Adaptive homodyne measurement of optical phase Uncertainty principle for angular position and angular momentum Minimum uncertainty states of angular momentum and angular position TIME Time in a quantum mechanical world Complement of the Hamiltonian REFERENCES APPENDIXshow more

About Stephen M. Barnett

University of Strathclyde, Glasgow, Scotland Griffith University, Nathan, Brisbane, Australiashow more