Quantum entanglement and quantum phase transition in theXYmodel with staggered Dzyaloshinskii-Moriya interaction

Abstract

We study the quantum entanglement and quantum phase transition (QPT) of the anisotropic spin-1/2 XY model with staggered Dzyaloshinskii-Moriya (DM) interaction by means of quantum renormalization group method. The scaling of coupling constants and the critical points of the system are obtained. It is found that when the number of renormalization group iterations tends to infinity, the system exhibit a QPT between the spin-fluid and Néel phases which corresponds with two saturated values of the concurrence for a given value of the strength of DM interaction.The DM interaction can enhance the entanglement and influence the QPT of the system. To gain further insight, the first derivative of the entanglement exhibit a nonanalytic behavior at the critical point and it directly associates with the divergence of the correlation length. This shows that the correlation length exponent is closely related to the critical exponent, i.e., the scaling behaviors of the system.

Thermal quantum correlations and quantum phase transitions in Ising-XXZ diamond chain

“…The relevant investigation has estab- 10 lished deep links between quantum information theory and condensed matter physics. Recently, much attention has been focused on the role played by QD in QPT [14,15,16,17,18,19,20,21,22,23,24,25,26].…”

“…An important applications of entanglement is to depict quantum phase transition (QPT) [5, 6,7,8,9,10,11,12,13]. The relevant investigation has estab- 10 lished deep links between quantum information theory and condensed matter physics.…”

Nonclassicality Indicators of Quantum Phase Transition in the XY Model with Dzyaloshinskii-Moriya Interaction

“…After dividing the spin chain into blocks, each contains three sites. In the standard bases {| ↑↑↑ , | ↑↑↓ , | ↑↓↑ , | ↑↓↓ , | ↓↑↑ , | ↓↑↓ , | ↓↓↑ , | ↓↓↓ }, the block Hamiltonian of the three sites has two degenerate ground states [37]:…”

“…It also has been shown that implementation of QRG method is helpful for detecting the nonanalytic and the scaling phenomenon in the vicinity of quantum critical points. [32][33][34][35][36][37]. Furthermore, since the above quantum correlation measures are available as new information-theoretical tools for quantum computation, it is very significant and indispensable for us to search for a quantum correlation measure as the universal indicator of quantum phase transition in the specific physical systems.…”

Performance of various correlation measures in quantum phase transitions using the quantum renormalization-group method

“…Invoking such a method, surveys regarding Ising and Heisenberg models have been carried out in several works [22][23][24][25][26][27] and it has been shown that implementation of the QRG method is valuable in detecting the nonanalytic behavior of entanglement (concurrence) and the scaling behavior in the vicinity of CPs. Nevertheless, as mentioned above, entanglement is not sufficient to account for all the correlation contained in quantum systems, so this motivates us to apply other correlation witnesses to study their dynamic behaviors combining with QRG method.…”