Quantum memory and coherence dynamics of two qubits interacting with a coherent cavity under intrinsic decoherence

We investigate quantum-memory-assisted entropic uncertainty, mixedness, and entanglement dynamics in a system of two qubits initially prepared in a separable state interacting with a coherent cavity based on the intrinsic decoherence model. When the coherence-based cavity is assumed in two different situations, namely, coherent and even coherent state, we primarily focus on the suppression of entropic uncertainty, mixedness, and entanglement generation. We show that intrinsic decoherence effects greatly control the dynamical perspectives of entropic uncertainty, mixedness, and entanglement. The functions of entropic uncertainty, mixedness, and entanglement either show signs of oscillatory behavior or reach saturation levels depending upon the intrinsic decoherence and coherent cavity strengths. Besides, the entanglement enhancement becomes more likely to emerge when the two qubits are exposed to an even coherent state cavity than when a coherent state cavity is implemented. In addition, due to the intrinsic decoherence effects, two-qubit mixedness and the lower bound of the entropic uncertainty functions exhibit symmetrical dynamics. The physical relationship between entropic uncertainty and mixedness is in an anti-correlation with entanglement. It is noticeable that due to the efficient action of the coherence-based cavity, the generated two-qubit entanglement is never completely lost.