Arvind, * and Mukunda, N and Simon, R
(1998)
*Characterizations of classical and nonclassical states of
quantized radiation.*
In: Journal of Physics A: Mathematical and General, 31
(2).
pp. 565-583.

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## Abstract

A new operator-based condition for distinguishing classical from nonclassical states of quantized radiation is developed. It exploits the fact that the normal ordering rule of correspondence to go from classical to quantum-dynamical variables does not in general maintain positivity. It is shown that the approach naturally leads to distinguishing several layers of increasing nonclassicality, with more layers as the number of modes increases. A generalization of the notion of sub-Poissonian statistics for two-mode radiation fields is achieved by analysing completely all correlations and fluctuations in quadratic combinations of mode annihilation and creation operators conserving the total photon number. This generalization is nontrivial and intrinsically two-mode as it goes beyond all possible single mode projections of the two-mode field. The nonclassicality of pair-coherent states, squeezed vacuum and squeezed thermal states is analysed and contrasted to one another, comparing the generalized sub-Poissonian statistics with extant signatures of nonclassical behaviour.

Item Type: | Journal Article |
---|---|

Publication: | Journal of Physics A: Mathematical and General |

Publisher: | Institute of Physics |

Additional Information: | Copyright of this article belongs to Institute of Physics. |

Department/Centre: | Division of Physical & Mathematical Sciences > Centre for Theoretical Studies (Ceased to exist at the end of 2003) Division of Physical & Mathematical Sciences > Physics |

Date Deposited: | 04 Jul 2006 |

Last Modified: | 19 Sep 2010 04:30 |

URI: | http://eprints.iisc.ac.in/id/eprint/7952 |

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