Dynamical behavior of the entanglement, purity and energy between atomic qubits in motion under the influence of thermal environment

TL;DR

This paper analyzes how atomic motion and thermal environments affect entanglement, purity, and energy in two-qubit systems, providing analytical solutions and exploring their dynamic behavior.

Contribution

It presents analytical solutions for atomic qubits considering motion and thermal effects, and studies their impact on quantum correlations and state evolution.

Findings

Disentanglement correlates with excitation transfer to cavity fields.

Atomic states evolve from pure to mixed states under thermal influence.

Field-mode structure and detuning significantly affect entanglement dynamics.

Abstract

The entanglement, purity and energy of two isolated two-level atoms which are initially prepared in Bell state and each interacts with a thermal cavity field are investigated by considering the atomic motion and the field-mode structure. We achieve the analytical solutions of the atomic qubits by using the algebraic dynamical approach and the influences of the field-mode structure parameter, the strength of the thermal field and the detuning on the entanglement, purity and energy are discussed. We also investigate the state evolution of the atomic qubits based on the entanglement-purity-energy diagrams. Our results show that the disentanglement process of the atomic qubits accompanies by excitations transferring from atomic subsystem to cavity field modes and atomic state from a pure state convert to the mixed states.