Thermal Science

Influence of classical field on entanglement and photon statistics of n-level atom interacting with a two two-level atom

Hammad Alotaibi, Eied Mahmoud Khalil, S. Abdel‐Khalek, A. Al-Barakaty

Published Jan 1, 2020• 2 citations

Abstract

In this study, we consider three interacting atoms, one of them represented by N-level atom based on SU(2) Lie algebra and the other represented by a two two-level atom in presence of the external field. The effect of the external field on the dynamics of the proposed system is discussed in detail for certain values for the external field. The dynamical expression of the observable operators is obtained by using the Heisenberg equation of motion. The general solution via solving Schrodinger equation is obtained. The fidelity and concurrence formula as a measure of entanglement between two two-level atom are calculated and discussed in detail. We explore the sudden death and sudden birth phenomena with and without the presence of external field. Finally, we compare the results of the fidelity, concurrence and second-order correlation function for some values of the initial state and the external field parameters.

DOI: 10.2298/tsci20177a

Related papers

Influence of the dissipation on the N-level atom interacting with a two two-level atoms in presence of qubit–qubit interaction

S. Abdel‐Khalek, Hashim M. Alshehri, Eied Mahmoud Khalil +1 more

The interacting of two qubits and an N-level atom based on su(2) Lie algebra in the presence of both qubit-qubit interaction and dissipation term is considered. The effects of the qubit-qubit interaction and the dissipation term on the dynamics of the proposed system are discussed in detail for certain values of the number of levels. The dynamical expressions of the observable operators are obtained using the Heisenberg equation of motion. The population inversion and linear entropy, as well as the concurrence formula as a measure of entanglement between the two qubits are calculated and discussed. The roles of the number of levels, the qubit-qubit coupling parameter and the dissipation rate on these quantities are also discussed. We explore the sudden birth and sudden death of the entanglement phenomena with and without the dissipation term.

Scientific ReportsApr 1, 20211 citation

Quantum scheme for N-level atom interacting with a two two-level atom: Atomic Fisher information and entropy squeezing

Eman M. A. Hilal, Sadah Abdullah Alkhateeb, S. Abdel‐Khalek +2 more

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.

Alexandria Engineering JournalFeb 26, 20209 citations

New aspects of the interaction between two atoms and nonlinear optical fields

S. Abdel‐Khalek, Moustafa M. Salama, Taher A. Nofal

We present a new kind of interaction between two two-level atoms and optical field initially in deformed bosonic coherent states. Using the concurrence and negativity as measures of entanglement, we investigate the nonlocal correlation between atom–atom and atom–field in terms of the parameters involved in the whole system. We report some important results related to this new kind of interaction such as sudden death, sudden birth, and entanglement stabilization.

Physica E Low-dimensional Systems and NanostructuresNov 7, 20134 citations

The influence of atomic dipole–dipole interaction on the dynamics of the population inversion and entanglement of two atoms interacting non-resonantly with two coupled modes field

Elham Faraji, Hamid Reza Baghshahi, Mohammad Kazem Tavassoly

In this paper, the non-resonant interaction of two two-level atoms with two quantized cavity fields is studied by considering the dipole–dipole interaction between the two atoms. The correlation between the fields has been taken into account and the parametric down conversion is considered. Under certain initial conditions which is determined for the atoms and the fields, the analytical solution for the time-dependent Schrödinger equation is obtained. Employing this solution, we are able to discuss about some physical properties such as atomic population inversion and entanglement between various subsystems, i.e. “atoms–fields” and “atom–atom” by using respectively von Neumann entropy and negativity. It is deduced from the numerical results that, the mentioned quantities can be controlled by the atomic dipole–dipole interaction and detuning parameter, appropriately. The results show that the degree of entanglement between the two atoms is increased due to the presence of dipole–dipole coupling of the atoms at the beginning of atom–field interaction. Furthermore, it is found that, in the non-resonance condition, the so-called entanglement sudden death occurs in the presence of dipole–dipole interaction.

Modern Physics Letters BFeb 15, 201714 citations

Entanglement Properties of Three Two-level Atoms System Interacting with a Fock State Field

廖庆洪 Liao Qinghong, 龚黎华 GONG Li-hua

The dynamics of entanglement of three two-level atoms initially in GHZ state system interacting with a Fock state field are investigated by means of concurrence and linear entropy.The effect of photon number on the time evolution of concurrence and linear entropy is analyzed.The results show that the phenomenon of sudden birth of entanglement between two atoms trapped in a cavity occurs and the threshold time and maximum for the creation of the entanglement can be controlled by the photon number.The measurement of the atom outside the cavity leads to the periodic evolution of the concurrence and an increase of the photon number results in decreasing in the maximum of concurrence and shortening of the evolution period of the time behavior of concurrence.

ACTA PHOTONICA SINICAJan 1, 20121 citation

Linear entropy and squeezing of the interaction between two quantum system described by su (1, 1) and su(2) Lie group in presence of two external terms

M. Sebawe Abdalla, Eied Mahmoud Khalil, A.‐S. F. Obada +2 more

A Hamiltonian, that describes the interaction between a two-level atom (su(2) algebra) and a system governed by su(1,1) Lie algebra besides two external interaction, is considered. Two canonical transformations are used, which results into removing the external terms and changing the frequencies of the interacting systems. The solution of the equations of motion of the operators is obtained and used to discuss the atomic inversion, entanglement, squeezing and correlation functions of the present system. Initially the atom is considered to be in the excited state while the other systems is in the Perelomov coherent state. Effects of the variations in the coupling parameters to the external systems are considered. They are found to be sensitive to changing entanglement, variance and entropy squeezing.

AIP AdvancesJan 1, 201725 citations