Quantum coherence and quantum Fisher information in the XXZ system

Ye, Biao‐Liang; Xue, Liyuan; Fang, Yu-Liang; Liu, Sheng; Wu, Qi‐Cheng; Zhou, Y. H.; Yang, Chui‐Ping

doi:10.1016/j.physe.2019.113690

Cited by 11 publications

(8 citation statements)

References 26 publications

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“…We also focus on a special case of the symmetrised version of TRE, which coincides with the quantum Jensen-Shannon divergence (QJSD) [32]. QJSD is a widely used distinguishability measure [33][34][35][36][37][38][39][40], for which it was only recently shown that its square root is a proper distance [41,42]. We show that the upper bound to distinguishability revivals in this case significantly simplifies and becomes tighter.…”

Section: Introductionmentioning

confidence: 98%

Entropic bounds on information backflow

Megier,

Smirne,

Vacchini

2021

Preprint

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Section: Introductionmentioning

confidence: 98%

Entropic bounds on information backflow

Megier,

Smirne,

Vacchini

2021

Preprint

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“…According to the expressions in Ref. [55], one can observe that regardless of the value J 0 a quantum phase transition happens at B c ≈ 0.5.…”

Section: Quantum Fisher Information (Qfi)mentioning

confidence: 93%

“…For instance, the quantum phase transition of the XXZ Heisenberg model has been studied through QFI by Biao-Liang Ye et al in Ref. [55]. Not so long ago, the same author with contributing other co-workers, in Ref.…”

Section: Introductionmentioning

confidence: 99%

Quantum coherence, quantum Fisher information and teleportation in the Ising-Heisenberg spin chain model of a heterotrimetallic Fe-Mn-Cu coordination polymer with magnetic impurity

Zad,

Rojas

2020

Preprint

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The effect of non-uniform magnetic fields on the Ising-Heisenberg chain of a heterotrimetallic coordination compound Fe − Mn − Cu, modeling a magnetic impurity on one dimer is studied. This impurity is configured by imposing non-uniform magnetic fields on each sites of j−th interstitial ionic dimer Mn 2+ −Cu 2+ of the chain model. The quantum coherence and pairwise entanglement between spin-1/2 magnetic Mn 2+ − Cu 2+ ion dimers clearly depend on the site which the impurity is located. It is demonstrated that when the magnetic impurity is considered for one magnetic dimer, by altering Ising nodal exchange interaction and Heisenberg anisotropy parameter of the impurity dimer, the entanglement can be enhanced to the maximal value 1 at a special fixed magnetic field. Moreover, we find that the quantum Fisher information of the model with magnetic impurity behaves considerably different from the original model. Besides of the quantum resources like concurrence, we prove that the quantum Fisher information can be used as new quantum tool for estimating the quantum phase transition in the model under consideration. On the other hand, thermal teleportation can be significantly optimized by adjusting the magnetic impurity, and a strong increase in the average fidelity is observed. Finally, the magnetic impurity can be manipulated to locally control the thermal entanglement, coherence, quantum Fisher information and teleportation unlike the original model where it is done globally.

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“…However, it has been found that each measure has its limitations for different types of QPTs. For example, the concurrence was found to be unable to faithfully identify the second-order QPTs in some spin-1/2 models [55,56], the Kosterlitz-Thouless QPT (KT-QPT) was shown to be undetectable by a number of measures [57][58][59], and the nonanalytic behavior of quantum discord was argued to be not completely reliable for detecting the critical points in some many-body systems [60]. Therefore, it deserves further effort to find more effective tools for characterizing QPTs.…”

Section: Introductionmentioning

confidence: 99%

“…Moreover, we find that the QSE happens to be a sphere at the KT phase transition point [62], indicating that the QSE is able to signal the KT-QPT, which cannot otherwise be detected by a number of measures as shown in Refs. [57][58][59].…”

Section: Introductionmentioning

confidence: 99%

Visualizing quantum phase transitions in the XXZ model via the quantum steering ellipsoid

Du,

Zhang,

Zhou

et al. 2021

Preprint

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The past two decades have witnessed a surge of interest in borrowing tools from quantum information theory to investigate quantum phase transitions (QPTs). The best known examples are entanglement measures whose nonanalyticities at critical points were tied to QPTs in a plethora of physical models. Here, focusing on the XXZ model, we show how QPTs can be revealed through the quantum steering ellipsoid (QSE), which is a geometric tool capable of characterizing both the strength and type of quantum correlations between two subsystems of a compound system. We find that the QSE associated with the XXZ model changes in shape with the QPTs, that is, it is a needle in the ferromagnetic phase, an oblate spheroid in the gapless phase, and a prolate spheroid in the antiferromagnetic phase. This finding offers an example demonstrating the intriguing possibility of unveiling QPTs in a geometrically visible fashion. Some connections between our results and previous ones are discussed.

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Quantum coherence and quantum Fisher information in the XXZ system

Cited by 11 publications

References 26 publications

Entropic bounds on information backflow

Entropic bounds on information backflow

Quantum coherence, quantum Fisher information and teleportation in the Ising-Heisenberg spin chain model of a heterotrimetallic Fe-Mn-Cu coordination polymer with magnetic impurity

Visualizing quantum phase transitions in the XXZ model via the quantum steering ellipsoid

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