Document Type : Research

Authors

• Hadi Rastegar Moghaddam Rezaion ¹
• Azadeh Mahmoodabadi ²
• safa jami ³

¹ Faculty Member

² Department of Physics, Faculty of Science, Ferdowsi University of Mashhad, Mashhad, Iran

³ Department of Physics, Ma.C., Islamic Azad University, Mashhad, Iran

Abstract

A B S T R A C T

In this study, a non-Hermitian two-level atom system in a single-mode quantum field is investigated. After extracting the Hermitian counterpart, it is placed in the Janes-Cummings (JC) model and the time-dependent Schrödinger equation is solved numerically. The main goal of this work is to accurately analyze the effect of non-Hermitian parameters and coupling strength on the system dynamics, especially to investigate the inverse population changes as a key quantity in the stability and control of open quantum systems. The results show that increasing the dissipation factor leads to a decrease in the amplitude of the inverse population oscillations and the system becomes closer to the equilibrium state, while increasing the coupling strength leads to an increase in the oscillation frequency and greater sensitivity to damping effects. These analyses are presented in comparison with the behavior of Hermitian and non-Hermitian systems to clarify the role of non-Hermitian parameters in creating new dynamics. Unlike previous studies on non-Hermitian versions of the Janes–Cummings model, which focused on non-Hermitian coupling, here the Hermitian counterpart of the non-Hermitian Hamiltonian of the atom is computed and used to analyze the inverse population dynamics. These findings can be used in the study of exceptional points, and the development of noise-resistant quantum information processing systems.

Keywords

• non-Hermitian Hamiltonian
• quantum field
• Schrödinger equation
• population inversion