arXiv subjects

H. Heydari

Publications and source records attributed to H. Heydari.

3 recordsLinked to original sources

arXiv2015

Two schemes for characterization and detection of the squeezed light: Dynamical Casimir effect and nonlinear materials

The detection and characterization of a non-classical-squeezed state of light, by using two different schemes, will be presented . In the first one, in an one-dimensional cavity with moving mirror (non-stationary Casimir effect) in the principal mode, we study the photon creation rate for two modes (squeezed and coherent state) of driving field. Since the cavity with moving mirror (similar to an optomechanical system) can be considered analogue to a Kerr-like medium, so that in the second scheme, the probability amplitude for multi-photons absorption in a nonlinear (Kerr) medium will be quantum mechanically calculated. It is shown that because of presence of nonlinear effects, the responses of these two systems to the squeezed versus coherent state are considerably distinguishable. The drastic difference between the results of these two states of light can be viewed as a proposal for detecting of non-classical states.

quant-ph↗

arXiv2013

Correspondence Between Classical and Quantum Theory by $f$-Deformed Coherent State

Generalized $f$-coherent state approach in deformation quantization framework is investigated by using a $\ast $-eigenvalue equation. For this purpose we introduce a new Moyal star product called $f$-star product, so that by using this ${\ast}_{f}$-eigenvalue equation one can obtain exactly the spectrum of a general Hamiltonian of a deformed system.

math-ph↗

arXiv2013

Complexifier Versus Factorization and Deformation Methods For Generation of Coherent States of a 1D NLHO: I. Mathematical Construction

Three methods: complexifier, factorization and deformation, for construction of coherent states are presented for one dimensional nonlinear harmonic oscillator (1D NLHO). Since by exploring the Jacobi polynomials $P_n^{a,b}$'s, bridging the difference between them is possible, we give here also the exact solution of Schrödinger equation of 1D NLHO in terms of Jacobi polynomials.

math-ph↗