New nonlinear coherent states associated to inverse bosonic and f - deformed ladder operators
نویسنده
چکیده
Using the nonlinear coherent states method, a formalism for the construction of the coherent states associated to ”inverse bosonic operators” and their dual family has been proposed. Generalizing the approach, the ”inverse of f -deformed ladder operators” corresponding to the nonlinear coherent states in the context of quantum optics and the associated coherent states have been introduced. Finally, after applying the proposal to a few known physical systems, particular nonclassical features as sub-Poissonian statistics and the squeezing of the quadratures of the radiation field corresponding to the introduced states have been investigated. Keyword: inverse operators, coherent states, nonlinear coherent states. PACS: 42.50.Dv, 42.50.-p
منابع مشابه
Para-Grassmannian Coherent and Squeezed States for Pseudo-Hermitian q-Oscillator and their Entanglement
In this paper, q-deformed oscillator for pseudo-Hermitian systems is investigated and pseudo-Hermitian appropriate coherent and squeezed states are studied. Also, some basic properties of these states is surveyed. The over-completeness property of the paraGrassmannian pseudo-Hermitian coherent states (PGPHCSs) examined, and also the stability of coherent and squeezed states discussed. The pseud...
متن کامل(p, q)-Deformations and (p, q)-Vector Coherent States of the Jaynes-Cummings Model in the Rotating Wave Approximation
Classes of (p, q)-deformations of the Jaynes-Cummings model in the rotating wave approximation are considered. Diagonalization of the Hamiltonian is performed exactly, leading to useful spectral decompositions of a series of relevant operators. The latter include ladder operators acting between adjacent energy eigenstates within two separate infinite discrete towers, except for a singleton stat...
متن کاملCoherent states, displaced number states and Laguerre polynomial states for su(1,1) Lie algebra
The ladder operator formalism of a general quantum state for su(1,1) Lie algebra is obtained. The state bears the generally deformed oscillator algebraic structure. It is found that the Peremolov’s coherent state is a su(1,1) nonlinear coherent state. The expansion and the exponential form of the nonlinear coherent state are given. We obtain the matrix elements of the su(1,1) displacement opera...
متن کاملSolvable potentials , non - linear algebras , and associated coherent states
Using the Darboux method and its relation with supersymmetric quantum mechanics we construct all SUSY partners of the harmonic oscillator. With the help of the SUSY transformation we introduce ladder operators for these partner Hamiltonians and shown that they close a quadratic algebra. The associated coherent states are constructed and discussed in some detail.
متن کاملnt - p h / 03 09 11 2 v 1 1 5 Se p 20 03 Remarks on the Bose description of the Pauli spin operators ∗
Using both the fermionic-like and the bosonic-like properties of the Pauli spin operators we discuss the Bose description of the Pauli spin operators firstly proposed by Shigefumi Naka, and derive another new bosonic representation of Pauli operators. The eigenvector of σ− in the bosonic representation is a nonlinear coherent state with the eigenvalues being the Grassmann numbers.
متن کامل