Entangled Pair of the su(1) Quantum Systems Interacting with Two Two-Level Atoms

被引：2

作者：

Abdel-Khalek, S. ^{[1
,2
]}

Khalil, E. M. ^{[1
,3
]}

Alsubei, Beida ^{[1
]}

Bogolubov, N. N., Jr. ^{[4
]}

Rasulova, M. Yu. ^{[5
]}

机构：

[1] Taif Univ, Fac Sci, Math Dept, At Taif, Saudi Arabia

[2] Sohag Univ, Fac Sci, Math Dept, Sohag, Egypt

[3] Al Azhar Univ, Fac Sci, Math Dept, Cairo 11884, Egypt

[4] Russian Acad Sci, Steklov Math Inst, Moscow 119991, Russia

[5] Acad Sci Uzbek, Inst Nucl Phys, Tashkent 100214, Uzbekistan

来源：

JOURNAL OF RUSSIAN LASER RESEARCH | 2020年 / 41卷 / 01期

关键词：

entangled two qubits; classical terms; negativity; von Neumann entropy; FIELD; ENTROPY; STATE; TRANSITION; MODE;

D O I：

10.1007/s10946-020-09854-0

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

In this communication, we consider a pair of entangled quantum systems, each described by the su(1) Lie algebra, interacting with two two-level atoms. We discuss in detail the influence of the detuning terms on the system and derive from the Heisenberg equations of motion the expressions of various operators corresponding to the dynamics. Solving the associated Schrodinger equation, we obtain the general solution. Then we calculate and discuss in detail the expression of the von Neumann entropy for the two qubits and the radiation field. We examine the negativity index to gauge the degree of quantum entanglement between the su(1) quantum system and the atoms. Finally, we compare the results of the negativity and von Neumann entropy for some values of the initial state and the detuning parameter.

引用

页码：30 / 39

页数：10

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