Entropic Uncertainty in Spin XY Model with Long-Range Interactions

Abstract

The behavior of the uncertainty relations and their tightness for a system, consisting of two qubits interacting thermally with a magnetic field in the presence of Dzyaloshinskii–Moriya interaction, is discussed, where different types of interaction strengths are considered. It is shown that both coupling and the magnetic field parameters decay the degree of entanglement, and increasing the uncertainty relations and the degree of mixedness. The phenomena of the sudden changes in the investigated quantities are depicted at large values of the field and coupling parameters. Concerning the type of the coupling parameters, distance and the trigonometric coupling have a clear effect on the behavior of the studied physical quantities.

Quantum memory assisted entropic uncertainty and entanglement dynamics: Two qubits coupled with local fields and Ornstein Uhlenbeck noise

“…Under the current noise and parameter settings, the system becomes completely separable because of high entropy. We find that the current results differ completely from those described in [45], where previous results showed revivals in U (τ ), R(τ ), and L(τ ). The maximum values of the two sides of uncertainty and tightness do not match, which is important.…”

“…It's worth mentioning, however, that the phase factors of current systems can be leveraged to accomplish longer entanglement preservation, particularly when g = 10 −3 is employed. In contrast to the bipartite and tripartite states reported in [12,15,23,25,45], entanglement in the current study has been maintained for extended periods. The entropy and uncertainty relations can also be depicted in a similar way.…”

“…In the ranges of 0.9 ≥ p ≥ 0.15, the entropic uncertainty gap between the two sides is larger, but it becomes exceptionally small at p > 0.9 and p < 0.15. Our findings show that the left-hand side of the entropic uncertainty relation is more effective than the right-hand side, which is consistent with the findings given in [45]. In the case of concurrence, entanglement decreases as the entropy between the qubits increases and it remains a crucial cause for the disentanglement of the two qubits.…”

“…We discovered that for low g values, we could maintain entanglement for a long time, even though the state eventually becomes separable. The current entropic uncertainty results contradict those reported in [45,46], where the qualitative dynamics of entropic uncertainties, tightness, and entanglement dynamics are vastly different. Fig.…”

“…We found the two sides deviating from each other in the curves with an insignificant narrow gap. Compared to [45], the present difference between the two sides is smaller. Even though no entropic revivals were observed in our dynamic setup, we noticed that the occurrence of revivals in the dynamical maps is due to the suppression of entropy, as shown in [49].…”