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Applied Mathematics & Information Sciences

Physical and Dynamical Properties of the Atomic Spectrum and Squeezing of Information Entropy of Su(1,1) Interacting with Single Qubit

Published Mar 1, 2021• 0 citations
Publisher
DOI
10.18576/amis/150213

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Journal of Atomic and Molecular Physics•Jan 1, 2008•0 citations
The interaction of a quantum algebraic system su(1,1) interacting with a qubit is studied. A nonlinear function has been added to interaction with the presence of Kerr medium (KM). The general solution is obtained using the constants of motion and Heisenberg equation for the time-evolution operator. The effects of the nonlinear function and KM on the emission spectrum and entropy squeezing are calculated. The results showed that the emission spectrum is affected by the nonlinear function. Symmetric peaks are generated around the vertical axis with increasing influence of the nonlinear function. By activating the role of the KM, the emission spectrum loses symmetry around the vertical axis and the maximum values decrease. Moreover, the KM reduces the squeezing intervals, while the squeezing intervals are improved by increasing the effect of the nonlinear function.
In this work, we introduce a model of a two-atom interacting with a multi-level atom governed by su(2) Lie algebra in the presence of external classical field. The influence of the classical field on the system is discussed in detail for certain values for the classical terms. The atomic density matrix of the proposed system is obtained. The dynamical behavior of the atomic Fisher information as an indicator of the nonlocal correlation between a two-atom and su(2) field is discussed. Moreover, we examine the effect of classical field on the evolution of entropy squeezing and the geometric phase induced between the initial and final state of the proposed system. The results outlined some important phenomena as sudden death and sudden birth of entanglement in presence of the classical terms is observed through the dynamics of atomic Fisher information in the presence of classical field for the large number of levels.
The information entropy squeezing properties of the atom in motion interacting with the binomial states field via single photon transition are studied by means of quantum theory.The influences of the parameter of light field on the information entropy squeezing properties of the atom are investigated as the initial atom is in any state.The results indicate that the value of squeezed component of the atomic dipole,amplitude,squeezed time and squeezed direction of the atomic information entropy can be controlled by choosing the atomic initial state,the field structure parameter,the velocity of atomic motion.It is shown that the moving atom may exhibit the long time squeezing effect for some parameters.