The Entanglement of the<i>X</i><i>Y</i>Spin Chain in a Random Magnetic Field

Fujinaga, Masashi; Hatano, Naomichi

doi:10.1143/jpsj.76.094001

Cited by 9 publications

(15 citation statements)

References 17 publications

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“…In [11], the study has been applied to the one-electron Anderson model. We obtain that, in the parameter region where the symmetry breaking occurs, the averaged over disorder one-site Von Neumann entropy associated to the 1-RDM, shows corrections to LSL which vanish both for zero and maximum disorder, and reaches a maximum at intermediate disorder in agreement with the results of [9]. In [12], the role of the size system in the study of entanglement has been applied to the case of the Dicke model.…”

Section: Introductionsupporting

confidence: 75%

“…The first term is the kinetic energy associated to the transfer of particles from one site to the D next neighbors sites, while the second one introduces a random energy associated to empty or occupied sites. Quantum information properties of the model have been recently studied by Kinoshita [9].…”

Section: Xy Model In the Presence Of A Random Transverse Fieldmentioning

confidence: 99%

“…Within this framework, we study the role of disorder on the entangled component of the ground-state one-site reduced density matrix (1-RDM) in the case of the homogeneous XY model in the presence of a random field. The dependence of entanglement on the randomness of a spin system has been given in [9,10]. In [11], the study has been applied to the one-electron Anderson model.…”

Section: Introductionmentioning

confidence: 99%

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Entanglement and disorder: a mean field approach

Pasquale¹,

Giorgi²

2010

Phys. Scr.

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The entanglement of symmetric mean-field ground states is studied for system of finite size. While a bare mean-field approximation amounts to consider factorized states, the symmetrization allows one to restore an amount of entanglement, which survive if finite systems are considered. For the isotropic XY model in the presence of a random transverse field, we calculated the one-site entanglement entropy, which is zero both for vanishing and maximum disorder and reaches a maximum for an intermediate value of disorder .

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Section: Introductionsupporting

confidence: 75%

Section: Xy Model In the Presence Of A Random Transverse Fieldmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Entanglement and disorder: a mean field approach

Pasquale¹,

Giorgi²

2010

Phys. Scr.

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“…Such model is particularly interesting for both quantum information and condensed matter physics, exhibiting distinct features such as eigenstates with definite magnetization along the field axis and a special critical behavior [37]. It is first shown that in contrast with entanglement [38][39][40], discord-type measures exhibit common features such as a non-zero value for all separations L at all temperatures T > 0. Exact asymptotic expressions for the decay with L and T will be provided, on the basis of the exact treatment based on the Jordan-Wigner fermionization [39][40][41][42].…”

Section: Introductionmentioning

confidence: 99%

Discord and information deficit in theXXchain

2013

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We examine the quantum correlations of spin pairs in the cyclic XX spin 1/2 chain in a transverse field, through the analysis of the quantum discord, the geometric discord and the information deficit. It is shown that while these quantities provide the same qualitative information, being nonzero for all temperatures and separations and exhibiting the same type of asymptotic behavior for large temperatures or separations, important differences arise in the minimizing local measurement that defines them. Whereas the quantum discord prefers a spin measurement perpendicular to the transverse field, the geometric discord and information deficit exhibit a perpendicular to parallel transition as the field increases, which subsists at all temperatures and for all separations. Moreover, it is shown that such transition signals the change from a Bell state to an aligned separable state of the dominant eigenstate of the reduced density matrix of the pair. Full exact results for both the thermodynamic limit and the finite chain are provided, through the Jordan-Wigner fermionization.

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“…From the observations we find that the spin-spin interaction and the spin-lattice interaction have counteracting effects on the quantum coherence of the system when the direction of the measurement is orthogonal to the direction of the spin-lattice interaction. We note that this study could be further extended to larger systems, and studying spin models with staggered DM interactions [58,59] and random field interactions [60,61].…”

Section: Discussionmentioning

confidence: 99%

Thermal coherence of the Heisenberg model with Dzyaloshinsky-Moriya interactions in an inhomogenous external field

Parthasarathy,

Jambulingam,

Byrnes

et al. 2021

Preprint

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The Entanglement of theXYSpin Chain in a Random Magnetic Field

Cited by 9 publications

References 17 publications

Entanglement and disorder: a mean field approach

Entanglement and disorder: a mean field approach

Discord and information deficit in theXXchain

Thermal coherence of the Heisenberg model with Dzyaloshinsky-Moriya interactions in an inhomogenous external field

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