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Laser Physics Letters

Enhancing steered coherence in the Heisenberg model using Dzyaloshinsky–Moriya and Kaplan–Shekhtman–Entin-Wohlman–Aharony interactions

Yu-Xia Xie, Xinyu Liu

Published Jan 20, 2022• 3 citations
Publisher

Abstract

Abstract Steered coherence characterizes the ability of one party to steer the coherence of another when they share a bipartite state. It is crucial to control its strength so as to use it as a resource for practical applications. We investigate average steered coherence (ASC) in the Heisenberg XXZ model. It is found that for the thermal state at finite temperature, the ASC can always be noticeably enhanced by adjusting the Dzyaloshinsky–Moriya and Kaplan–Shekhtman–Entin-Wohlman–Aharony interactions. There are also parameter regions in which the ASC approaches to its maximum. This result suggests an alternative for manipulating ASC in a spin system.

DOI
10.1088/1612-202x/ac46cc

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Characterizing the thermal quantum correlations in a two-qubit Heisenberg XXZ spin-12\frac{1}{2}21​ chain under Dzyaloshinskii–Moriya and Kaplan–Shekhtman–Entin–Wohlman–Aharony interactions
Quantum entanglement is one of the most important measures of quantum correlations. Using group-theoretical approach we found a family of four nine-parameter quantum states for the two-spin-1/2 Heisenberg system in an external magnetic field and with multiple components of Dzyaloshinsky-Moriya (DM) and Kaplan-Shekhtman- Entin-Wohlman-Aharony (KSEA) interactions. Exact analytical formulas are derived for the entanglement of formation for the quantum states found. In the proceeding, the family of found states and the structure of interactions in them are discussed.
Abstract Quantum coherence underlies different forms of quantum correlations. We investigate the nonlocal advantage of quantum coherence (NAQC) for the thermal equilibrium states of both the spin-1/2 and the spin-1 Heisenberg XXZ models. By considering the NAQC formulated within two slightly different frameworks, we showed that their values can always be enhanced by tuning strength of the spin-exchange interaction along the z direction. The maximum achievable NAQC by tuning decreases with the increasing temperature T and there will be no NAQC when T is higher than a critical value. Moreover, both the NAQC and the critical temperature could be further noticeably increased by introducing the Dzyaloshinsky–Moriya interaction along either the z direction or the x direction to the considered spin models.
The critical behaviors of the net steered coherence (NSC) and average coherence (AC) in the XXZ model with Dzyaloshinsky-Moriya interaction are investigated by adopting the quantum renormalization group method. It is found that they both develop different saturated values in different phases of the model after enough iterations of the renormalization of the coupling constants. In addition, their susceptibilities at the phase transition point are divergent in the thermodynamic limit, and the scaling exponent is determined by the exponent governing the divergence of the correlation length close to the phase transition point. This exemplifies that both the NSC and AC can serve as reliable indicators of quantum phase transitions.