Nonlocal advantage of quantum coherence in the spin-1/2 and spin-1 Heisenberg XXZ models

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.

Nonlocal advantage of quantum coherence and entanglement of two spins under intrinsic decoherence*

“…The NAQC of the thermal states of various spin systems has been studied. [57][58][59] In this paper, we focus on the intrinsic decoherence effects on NAQC of the spin system. We consider the following Hamiltonian (in units of h):…”

Correlation-induced coherence and its use in detecting quantum phase transitions

“…More examples involving other coherence measures, such as the total quantum coherence, the local and intrinsic quantum coherence, and the coherence measure based on the Jensen-Shannon divergence, can be found in Refs. [57,[59][60][61][62][63][64][65][66].…”

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

“…As for quantum coherence, one usually explore either its dynamical behaviors, aimed at identifying efficient methods to suppress the detrimental effects of noisy environments [35][36][37][38][39][40][41][42][43][44][45][46], or its static properties in an explicit physical system, e.g. the common spin chain system [47][48][49]. As a fundamental concept in quantum theory, quantum coherence is also intimately related to quantum correlations such as entanglement [50][51][52] and quantum discord [52][53][54][55].…”