Boson inverse operators and associated coherent states

Authors:
Publisher website
Google Scholar
Abstract
Making use of the recently introduced inverses of boson creation and annihilation operators, the authors show that the 'photon-added coherent states' are eigenstates of the operator (aDagger maaDagger -m) and also of the operator (a-maDagger -1) with eigenvalue alpha . The authors discuss completeness of these states. They obtain another family of photon-added coherent states which are proportional to a-m mod alpha ), where m is a positive integer and mod alpha ) is a coherent state. They show that these are the eigenstates of the operator (a-mam+1) with eigenvalue alpha . Analogously, the authors introduce 'photon-depleted coherent states', aDagger -m mod alpha ), and show that these are the eigenstates of the operator (a+maDagger -1) with eigenvalue alpha . The conditions for squeezing and antibunching of photons have also been discussed.

This publication has 28 references indexed in Scilit: