Simon, R and Selvadoray, Mary and Arvind, * and Mukunda, N (1997) Nonclassicality and the concept of local constraints on the photon number distribution. [Preprint]

PDF
9708038.pdf Download (123kB) 
Abstract
We exploit results from the classical Stieltjes moment problem to bring out the totality of all the information regarding phase insensitive nonclassicality of a state as captured by the photon number distribution p_n. Central to our approach is the realization that n !p_n constitutes the sequence of moments of a (quasi) probability distribution, notwithstanding the fact that p_n can by itself be regarded as a probability distribution. This leads to classicality restrictions on p_n that are local in n involving p_n's for only a small number of consecutive n's, enabling a critical examination of the conjecture that oscillation in p_n is a signature of nonclassicality.
Item Type:  Preprint 

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 
Depositing User:  Ramnishath A 
Date Deposited:  13 Aug 2004 
Last Modified:  19 Sep 2010 04:13 
URI:  http://eprints.iisc.ac.in/id/eprint/870 
Actions (login required)
View Item 