# Entanglement control of two-level atoms in dissipative cavities

## TL;DR

This paper explores how to control entanglement between two atoms in a dissipative cavity using a non-Hermitian Hamiltonian, analyzing the effects of dissipation and time-varying coupling on entanglement dynamics.

## Contribution

It introduces a non-Hermitian approach to model entanglement control in dissipative systems and studies the impact of dissipation and frequency modulation on entanglement.

## Key findings

- Concurrence decreases rapidly with increased field decay.
- Atomic decay has negligible effect on entanglement.
- Time-varying coupling influences entanglement dynamics.

## Abstract

An open quantum bipartite system consisting of two independent two-level atoms interacting non-linearly with a two-mode electromagnetic cavity field is investigated by proposing a suitable non-Hermitian generalization of Hamiltonian. The mathematical procedure of obtaining the corresponding wave function of the system is clearly given. Panchartnam phase is studied to give a precise information about the required initial system state, which is related to artificial phase jumps, to control the Degree of Entanglement (DEM) and get the highest Concurrence. We discuss the effect of time-variation coupling, and dissipation of both atoms and cavity. The effect of the time-variation function appears as frequency modulation (FM) effect in the radio waves. Concurrence rapidly reaches the disentangled state (death of entanglement) by increasing the effect of field decay. On the contrary, the atomic decay has no effect.