Improving the nonlocal advantage of quantum coherence in the Heisenberg model by topological boundary conditions

Abstract

The control of quantum correlations in a physical system is of practical importance. Nonlocal advantage of quantum coherence (NAQC) is a type of quantum correlation defined on the basis of quantum coherence. We present a comparative investigation of NAQC in the threespin Heisenberg model with periodic boundary conditions (PBCs) and topological boundary conditions (TBCs). The results show that while there is no NAQC in the absence of an external magnetic field, one can create a considerable NAQC by applying a nonuniform transverse magnetic field to the three spins. In particular, the NAQC is significantly improved for the model with TBCs compared to that with PBCs, and the regions of nonvanishing NAQC can also be extended. The model considered with TBC can therefore serve as a potential candidate for creating NAQC.

Steered coherence and entanglement in the Heisenberg XX chain under twisted boundary conditions*

“…In fact, entanglement in the cyclic XX [72] and XXX chains [73,74] have been studied. Moreover, by assuming the topological boundary conditions, entanglement and quantum discord in the Heisenberg XXZ chain [75] and nonlocal advantage of quantum coherence in the Heisenberg XXX chain [63] have also been studied recently.…”

“…When the spin-chain systems are considered, the control of SC has been studied in Refs. [61][62][63][64], and the role of SC in detecting quantum phase transitions can be found in Ref. [65].…”

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

“…Similar models have been considered in the study of entanglement [55][56][57][58], quant um discord [59][60][61][62][63], and measurement-induced nonlocality [64][65][66][67] due to their potential applications in different quantum computation tasks [68][69][70][71][72]. Recently, quantum coherence [73][74][75][76][77][78][79][80] and NAQC [81] in such kinds of models have also been discussed from the perspective of their role in detecting quantum phase transitions. Different from the above works which focused mainly on spin-1/2 models, we will consider NAQC also in the spin-1 model.…”

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].…”