Quantum Fisher information and coherence in one-dimensional XY spin models with Dzyaloshinsky-Moriya interactions

Ye, Biao‐Liang; Li, Bo; Wang, Zhi‐Xi; Li‐Jost, Xianqing; Fei, Shao-Ming

doi:10.1007/s11433-018-9262-9

Cited by 34 publications

(11 citation statements)

References 47 publications

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“…1(a). Nevertheless, a simplification that σ x i σ y j = 0 and σ y i σ x j = 0 was commonly used in the past [28,[63][64][65]. Also, such negligence in calculating Eqs.…”

Section: The Information Measuresmentioning

confidence: 99%

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Criticality and factorization in the Heisenberg chain with Dzyaloshinskii-Moriya interaction

You

et al. 2019

Phys. Rev. B

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In this work, we address the ground state properties of the anisotropic spin-1/2 Heisenberg XYZ chain under the interplay of magnetic fields and the Dzyaloshinskii-Moriya (DM) interaction which we interpret as an electric field. The identification of the regions of enhanced sensitivity determines criticality in this model. We calculate the Wigner-Yanase skew information (WYSI) as a coherence witness of an arbitrary two-qubit state under specific measurement bases. The WYSI is demonstrated to be a good indicator for detecting the quantum phase transitions. The finite-size scaling of coherence susceptibility is investigated. We find that the factorization line in the antiferromagnetic phase becomes the factorization volume in the gapless chiral phase induced by DM interactions, implied by the vanishing concurrence for a wide range of field. We also present the phase diagram of the model with three phases: antiferromagnetic, paramagnetic, and chiral, and point out a few common mistakes in deriving the correlation functions for the systems with broken reflection symmetry.

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“…1(a). Nevertheless, a simplification that σ x i σ y j = 0 and σ y i σ x j = 0 was commonly used in the past [28,[63][64][65]. Also, such negligence in calculating Eqs.…”

Section: The Information Measuresmentioning

confidence: 99%

“…Also, such negligence in calculating Eqs. ( 9) and (12) frequently occur in terms of the relation [28,[63][64][65]:…”

Section: The Information Measuresmentioning

confidence: 99%

Criticality and factorization in the Heisenberg chain with Dzyaloshinskii-Moriya interaction

You

et al. 2019

Phys. Rev. B

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“…In this context, it is natural to wonder whether quantum correlations beyond entanglement can be related to precision in quantum metrology protocols. Usually, for an arbitrary quantum state ρ θ that depends on the parameter θ, we can define the QFI as [26,37,38]…”

Section: Local Quantum Fisher Informationmentioning

confidence: 99%

A comparative study of local quantum Fisher information and local quantum uncertainty in Heisenberg XY model

et al. 2019

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Recently, it has been shown that the quantum Fisher information via local observables and via local measurements (i.e., local quantum Fisher information (LQFI)) is a central concept in quantum estimation and quantum metrology and captures the quantumness of correlations in multi-component quantum system [S. Kim et al., Phys. Rev. A. 97, 032326 (2018)]. This new discord-like measure is very similar to the quantum correlations measure called local quantum uncertainty (LQU). In the present study, we have revealed that LQU is bounded by LQFI in the phase estimation protocol. Also, a comparative study between these two quantum correlations quantifiers is addressed for the quantum Heisenberg XY model. Two distinct situations are considered. The first one concerns the anisotropic XY model and the second situation concerns isotropic XY model submitted to an external magnetic field. Our results confirm that LQFI reveals more quantum correlations than LQU.

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“…It has been applied in condensed matter physics to describe criticality and quantum phase transitions [74][75][76][77], measurement speed limits on the evolution of quantum states [78][79][80][81]. It has been also applied for the quantification of quantum coherence and quantum entanglement [82][83][84][85][86]. However, there are various situations of multiparameter quantum estimation protocols in which the RLD-QFIM is given a most informative QCRB [47,[87][88][89], specifically in protocols connected to the Gaussian formalism.…”

Section: Multiparameter Quantum Metrologymentioning

confidence: 99%

Ultimate precision of joint parameter estimation under noisy Gaussian environment

Bakmou

Daoud

2022

Physics Letters A

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Quantum Fisher information and coherence in one-dimensional XY spin models with Dzyaloshinsky-Moriya interactions

Cited by 34 publications

References 47 publications

Criticality and factorization in the Heisenberg chain with Dzyaloshinskii-Moriya interaction

Criticality and factorization in the Heisenberg chain with Dzyaloshinskii-Moriya interaction

A comparative study of local quantum Fisher information and local quantum uncertainty in Heisenberg XY model

Ultimate precision of joint parameter estimation under noisy Gaussian environment

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