Photon-added coherent states as nonlinear coherent states
نویسندگان
چکیده
منابع مشابه
Photon-added coherent states as nonlinear coherent states
The states |α,m〉, defined as â†m|α〉 up to a normalization constant and m is a nonnegative integer, are shown to be the eigenstates of f(n̂,m)â where f(n̂,m) is a nonlinear function of the number operator n̂. The explicit form of f(n̂,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 th...
متن کاملPhoton-added nonlinear coherent states
The photon-added nonlinear coherent states, defined as a†m|α, f〉 up to a normalization constant, are still nonlinear coherent states with the nonlinear function f(N−m)[1−m/(N +1)]. Here |α, f〉 is the nonlinear coherent state with the nonlinear function f(N), N is the number operator, a is the boson creation operator and m is a non-negative integer. We introduce a new type of nonlinear coherent ...
متن کاملPhoton-added one-photon and two-photon nonlinear coherent states
From the photon-added one-photon nonlinear coherent states a†m|α, f〉, we introduce a new type of nonlinear coherent states with negative values of m. The nonlinear coherent states corresponding to the positive and negative values of m are shown to be the result of nonunitarily deforming the number states |m〉 and |0〉, respectively. As an example, we study the sub-Poissonian statistics and squeez...
متن کاملGazeau- Klouder Coherent states on a sphere
In this paper, we construct the Gazeau-Klauder coherent states of a two- dimensional harmonic oscillator on a sphere based on two equivalent approaches. First, we consider the oscillator on the sphere as a deformed (non-degenerate) one-dimensional oscillator. Second, the oscillator on the sphere is considered as the usual (degenerate) two--dimensional oscillator. Then, by investigating the quan...
متن کاملPhoton-added coherent states for exactly solvable Hamiltonian
Photon-added Gazeau-Klauder and Klauder-Perelomov coherent states are investigated. Application to Pöschl-Teller potentials is given.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 1999
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/32/18/317