Effects of classical fluctuating environments on decoherence and bipartite quantum correlation dynamics

Abstract

We address the time evolution of quantum correlations (QCs) such as entanglement, purity, and coherence for a model of two non-interacting qubits initially prepared as a maximally entangled bipartite state. We contrast the comparative potential of the classical fields to preserve these QCs in the noisy and noiseless realms. We also disclose the characteristic dynamical behavior of the QCs of the two-qubit state under the static noise effects originating from the common and different configuration models. We show that there is a direct connection between the fluctuations allowed by an environment and the preservation of QCs. Due to the static noise dephasing effects, the QCs are suppressed, resulting in the separability of the two-qubit entangled state after a finite duration. For bipartite QCs preservation, we show that the common configuration is more resourceful than the different configuration. Furthermore, this protection of the QCs under static noise for large intervals is entirely attributable to the existence of the entanglement sudden death and birth phenomenon. Most importantly, we found the bipartite QCs less fragile than the tripartite ones in comparison under the static noise. In addition, we find the concurrence measure to show more evident revivals of entanglement in comparison.

Tripartite Quantum Correlations under Power‐Law and Random Telegraph Noises: Collective Effects of Markovian and Non‐Markovian Classical Fields

“…The results of prior research on the dynamical map of two and three qubits under the influence of non‐Markov environments appear to be different, with shorter quantum correlations preservation. [ 56,57 ] The non‐Markovian character of contemporary classical fields with RT noise is stronger than that reported in [58], which is characterized by static and RT noise. It is also worth mentioning that the mixed non‐Markovian effects of statics and RT noise had a different effect on the memory properties of the environments than in this case.…”

“…As seen by comparing previous results given in refs. [21,24,35,36,45,54,[57][58][59] to the current ones. Quantum correlations, coherence, and purity are all lost periodically when non-Markovian effects are maximized.…”

Entanglement and Entropic Uncertainty of Two Two‐Level Atoms

“…The entanglement of two qubits can be measured by the concurrence C , which is defined as [ 45,46 ] $$\begin{equation} C=\max {\left[ 0,2\max {\left[ \lambda _{r}\right]}-\sum _{r=1}^{4}\lambda _{r}\right]} \end{equation}$$where the quantities, $$\lambda _{r}(r=1,2,3,4)$$ are the square roots of the eigenvalues of the matrix $$\Gamma =\rho \theta \rho ^{\ast }\theta$$, ρ is the density matrix and $$\theta =\sigma _{y}^{(1)}\otimes \sigma _{y}^{(2)}$$. Based on the definition of concurrence, the entanglement of two two‐level atoms can be obtained as $$\begin{equation} C=\max {\left[ 0,2{\left(\sqrt {\rho _{23}\rho _{32}}-\sqrt {\rho _{11}\rho _{44}}\right)} \right]} \end{equation}$$…”

“…Mixedness and, as a result, disentanglement is caused by defects such as entropic disorder. [ 45–47 ] We will also quantify the degree of mixedness in this manuscript, in addition to looking into the entanglement measurement.…”

Noble classical and quantum approach to model the optical properties of metallic nanoparticles to enhance the sensitivity of optoplasmonic sensors

“…While the quantum mechanical model describes phenomena by a quantization scheme [3][4][5][6] for analytical and computational manipulations of quantum nature, such as quantum decoherence, quantum correlations (QCs), and quantum entanglement. [7][8][9][10] The combinations of both models can help with the study of light-matter interactions for the enhancement of optical-based sensors. 11,12 When light and metallic nanoparticles (MNPs) interact on the metal surface (MS), free electrons transit from the ground state to the excited state and vice versa (jgi 4 jei) by an amount u, depending on the intensity of incident light and meta-stable state of MNPs and MS.…”