Quantum-Optical States in Finite-Dimensional Hilbert Space. II. State Generation

  1. Myron W. Evans
  1. Wiesław Leoński1 and
  2. Adam Miranowicz1,2

Published Online: 13 MAR 2002

DOI: 10.1002/0471231479.ch4

Modern Nonlinear Optics, Part I, Volume 119, Second Edition

Modern Nonlinear Optics, Part I, Volume 119, Second Edition

How to Cite

Leoński, W. and Miranowicz, A. (2001) Quantum-Optical States in Finite-Dimensional Hilbert Space. II. State Generation, in Modern Nonlinear Optics, Part I, Volume 119, Second Edition (ed M. W. Evans), John Wiley & Sons, Inc., New York, USA. doi: 10.1002/0471231479.ch4

Author Information

  1. 1

    Nonlinear Optics Division, Institute of Physics, Adam Mickiewicz University, Poznań Poland

  2. 2

    CREST Research Team for Interacting Carrier Electronics, School of Advanced Sciences. The Graduate University for Advanced Studies (SOKEN), Hayama, Kanagawa, Japan

Publication History

  1. Published Online: 13 MAR 2002
  2. Published Print: 28 SEP 2001

Book Series:

  1. Advances in Chemical Physics

Book Series Editors:

  1. I. Prigogine3,4 and
  2. Stuart A. Rice5

Series Editor Information

  1. 3

    Center for Studies in Statistical Mechanics and Complex Systems, The University of Texas, Austin, Texas, USA

  2. 4

    International Solvay Institutes, Université Libre de Bruxelles, Brussels, Belgium

  3. 5

    Department of Chemistry and The James Franck Institute, The University of Chicago, Chicago, Illinois, USA

ISBN Information

Print ISBN: 9780471389309

Online ISBN: 9780471231479

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Keywords:

  • finite-dimensional (FD) coherent states;
  • finite-dimensional (FD) squeezed vacuum;
  • nonlinear oscillator systems;
  • state generation;
  • dissipative systems

Summary

The authors begin by summarizing some schemes of generating finite-dimensional (FD) quantum-optical states. Although it is possible to generate n-photon Fock states and then to construct a desired state from these states, the focus of the chapter is on generation schemes that lead directly to the FD coherent states and FD squeezed vacuum. The method described is based on the quantum nonlinear oscillator evolution. The oscillator is assumed to be driven by external excitation. Depending on the character of the excitation, various FD states can be produced.