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

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