Chapter 6. Quantum Theory of Parametric Amplification I

  1. Roy J. Glauber

Published Online: 19 JAN 2007

DOI: 10.1002/9783527610075.ch6

Quantum Theory of Optical Coherence: Selected Papers and Lectures

Quantum Theory of Optical Coherence: Selected Papers and Lectures

How to Cite

Glauber, R. J. (2007) Quantum Theory of Parametric Amplification I, in Quantum Theory of Optical Coherence: Selected Papers and Lectures, Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, Germany. doi: 10.1002/9783527610075.ch6

Author Information

  1. Lyman Laboratory, Harvard University Cambridge, MA 02138, USA

  1. Reprinted with permission from B. R. Mollow, R. J. Glauber, Phys. Rev. 160, 1076–1096 (1967). Copyright 2006 by the American Physical Society.

Publication History

  1. Published Online: 19 JAN 2007
  2. Published Print: 15 DEC 2006

ISBN Information

Print ISBN: 9783527406876

Online ISBN: 9783527610075

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Keywords:

  • quantum theory;
  • optical coherence;
  • parametric amplification;
  • coherent states;
  • P representation;
  • A mode;
  • initially chaotic B mode;
  • initial n-quantum state

Summary

This chapter contains sections titled:

  • Introduction

  • The Coherent States and the P Representation

  • Model of the Parametric Amplifier

  • Reduced Density Operator for the A Mode

  • Initially Coherent State: P Representation for the A Mode

  • Initially Coherent State; Moments, Matrix Elements, and Explicit Representation for ρA(t)

  • Solutions for an Initially Chaotic B Mode

  • Solution for Initial n-Quantum State of A Mode; B Mode Chaotic

  • General Discussion of Amplification With B Mode Initially Chaotic

  • Discussion of P Representation: Characteristic Functions Initially Gaussian

  • Some General Properties of P(α,t)

  • Appendix

  • References