Bipartite and tripartite quantum coherence with entanglement in XXZ Heisenberg spins-1/2 chain under renormalization group method

Dynamic of bipartite and tripartite quantum coherence of a polarized 1/2-XXZ Heisenberg spin chain with modulated Dzyaloshinskii-Moriya interaction

“…Such as it has been demonstrated in [21] , it has also been found here that the nearest neighbors are strongly correlated than the next nearest neighbors in a block. This correlations strend is the expression of the position dependency of bipartite quantum coherence and entanglement within a block.…”

“…Some authors in order to investigate the dynamic of information in quantum systems, linked quantum coherence with measurements of quantum correlations, and established a hierarchical and explicit relationship between quantum coherence, quantum discord and entanglement between quantum states of a multi-particle system [7,17,18]; However, due to the elastic dimension of the Hilbert space of many-body systems, the analytical and exact study of quantum correlations by the ordinary mathematical approaches used become complex. The new approaches of quantum renormalization group (QRG) have been applied to bring a correction [19][20][21]. The use of QRG according to Kadanoff approaches on the dynamic of many body quantum spin system has shown non-analyticity of entanglement and quantum discord at the critical points (translating a transition from the spin liquid phase to the Néel phase) depends on the anisotropy of the spin chain and becomes prominent with the dimension of the Hilbert space defined by different iterations of the QRG.…”

Dynamical dephasing of bipartite and tripartite quantum coherence of spin-1/2 XXZ Heisenberg model in a renormalization group approach

“…The increasing nonanalyticity at higher iterations emphasises a quantum phase transition which occur at a critical point with a corresponding critical value h c = 0.5 for zero DM interaction (figure 1(a)). As compare with the results obtained in [36], it is observed that this critical value is not only particularly dictated by the effective strength of anisotropy ξ which has been considered fixed here to 0.5, but also by the DM iteraction strength. The transition point gradually shift as the DM interaction strength changes, giving a dynamic nature to the QCP.…”

“…By considering the total number N = 3 n+1 of spin in the system at nth iteration and defining the parameter ξ = h/Δ as the effective strength of the anisotropy [36], the l 1 -norm of the bipartite quantum coherence for different RG steps is plotted. Figure 1 shows a monotonic decrease of the bipartite quantum coherence C l 0 12 1 ( ) r with magnetic field h for small number of spins and a nonanalytic behavior when the iterations increases (4th, 6th and 8th RG steps graphs).…”

“…It has been found that the DM interaction influence the entanglement distribution by increasing the proportion of multipartite entanglement [32], and can also make the spin ferromagnetic line to be a better quantum channel for teleportation [33,34]. Similarly, on the spin models, an applied magnetic field has been shown to considerably affect the critical transition point [35,36]. Motivated by the individual contributions of the aforementioned parameters to the dynamic of spin chains, we are interested to investigate the interplay of such quantities (magnetic field and DM interaction) on the Dynamical dephasing of bipartite and tripartite spin states of the system.…”