Pancharatnam Phase of Non-Hermitian Hamiltonian

Authors

Reyad Salah, Department of Mathematics, Faculty of Science, Helwan university, Helwan, Cairo, EgyptFollow
Marwa M. Anwer, Department of Mathematics, Faculty of Science, Fayoum university, Fayoum, EgyptFollow
M. Abdel-Aty, Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, EgyptFollow

Abstract

The considered system is two-level atoms interacting with a single mode electromagnetic field (EMF) in dissipative cavity, taking into account the coupling function between atoms and field to be time-dependent, Stark shift effect and Kerr-like medium parameter. The system’s corresponding state function is obtained when the two atoms are initially made in superposition of states and the field is in the coherent state. The results show that, the evolution of atomic inversion, Pancharatnam phase, Von Neumann entropy and phase properties are decaying in the presence of damping. We show the the long-life behavior for Pancharatnam phase. This result indicates that quantum correlations quantified by the phase can be protected effectively. Using the effect of the field decay parameter Γ , the entropy quickly reaches the non-entangled state (death of entanglement). On contrast, the atomic decay parameter γ , the entropy is very weak.

Recommended Citation

Salah, Reyad; M. Anwer, Marwa; and Abdel-Aty, M. (2021) "Pancharatnam Phase of Non-Hermitian Hamiltonian," Information Sciences Letters: Vol. 10 : Iss. 1 , PP -.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol10/iss1/4