Photon-added coherent states as nonlinear coherent states
Abstract
The states |α,m>, defined as a^m|α> up to a normalization constant and m is a nonnegative integer, are shown to be the eigenstates of f(n,m)a where f(n,m) is a nonlinear function of the number operator n. The explicit form of f(n,m) is constructed. The eigenstates of this operator for negative values of m are introduced. The properties of these states are discussed and compared with those of the state |α,m >.
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