Odd-even effect of quantum discord in the spin-1/2 Heisenberg two-leg ladder with ring exchange

Huang, Hailin; Sun, Zhao‐Yu; Wang, B.

doi:10.1002/pssb.201349047

Cited by 3 publications

(3 citation statements)

References 42 publications

(112 reference statements)

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“…Generally, QE is regarded as the distinctive quantum correlations measures that can be employed to achieve quantum acceleration, but it can not be survived in the separable state [15]. On the contrary, QD can capture more information of quantum correlations due to nonzero in any separable state [16][17][18][19][20][21]. Moreover, QE only focuses on the traits of quantum correlation in a certain aspect (i.e., the separability of quantum states), while QD pays close attention to the amount of the quantum correlation itself.…”

Section: Introductionmentioning

confidence: 99%

“…Particularly, QD can identify many different types of phase transitions, such as the conventional QPTs (induced by the symmetry broken) [16], matrix product state (MPS)-QPTs [26], and topological QPTs [27]. Moreover, the linear scaling theory has also been established in multiple quantum spin systems [17,25,28]. This can enable us to receive the properties of huge size and real systems based on the results from a small size system.…”

Section: Introductionmentioning

confidence: 99%

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Global quantum discord in the Lipkin–Meshkov–Glick model at zero and finite temperatures

Bao¹,

Liu²,

Guo³

2021

J. Phys.: Condens. Matter

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We study the global quantum discord (GQD) in the Lipkin-Meshkov-Glick (LMG) model at zero and finite temperatures, in which all spins are mutually interacted and introduced in an external magnetic field (denoted by h). We confirm that the high coordinate number is one of the most distinguishing features of the LMG model, which directly results in the nontrivial behaviors of quantum correlations. We compare the GQD with other quantum correlations measures (such as concurrence, quantum discord, and global entanglement) and find the remarkable difference between them. For instance, we find that GQD spreads in the entire system and captures more information on quantum correlations when comparing with concurrence and quantum (pairwise) discord. We discover that GQD can characterize multipartite correlations in the both broken phase (h < 1) and the symmetric phase (h 1), while global entanglement and its generalized fail. Moreover, we show that the ground-state GQD can identify second-order quantum phase transitions of the LMG model in the thermodynamic limit. By making the scaling behavior of the GQD in the LMG model analysis, we show that GQD (denoted by G) scales as G ∼ k • N + c with k > 0 in the anisotropic cases for any fixed magnetic field. We further show that GQD behaves as G| s n ∼ k • 1 N + c with k < 0 in the isotropic cases for any Dicke state |s n . Herein k and c are the fitting parameters. We also find that the thermal stability of the GQD at low temperatures depends on the energy gap. We further reveal that the extraordinary behaviors of the thermal-state GQD in the isotropic LMG model are explained by the contribution theory of the energy levels.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Global quantum discord in the Lipkin–Meshkov–Glick model at zero and finite temperatures

Bao¹,

Liu²,

Guo³

2021

J. Phys.: Condens. Matter

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“…Among various measures of quantum correlations, quantum discord has attracted much attention recently, which turns out to be a valuable complement to quantum entanglement. Two‐site quantum discord has been studied in various low‐dimensional quantum spin models, such as the matrix‐product‐state (MPS) models, the XY chain, the XXZ chain, the two‐leg spin ladder with ring exchange, and the Ising‐Heisenberg decorated lattice . In these models, quantum discord has shown some interesting properties.…”

Section: Introductionmentioning

confidence: 99%

Global Quantum Discord in Transverse‐Field Ising Models on N × N Square Lattices

Sun

Zhou

Wang

et al. 2019

Physica Status Solidi (b)

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Global quantum discord (GQD) in two‐dimensional (2D) transverse‐field Ising models on N × N square lattices at zero temperature and finite temperatures are studied. First, the GQD Gtrue(ρ2×2true) defined on the reduced density matrix ρ2×2 of a 2 × 2 sub‐square in the center of the N × N lattices, with N=4, 5, 6, 7, ∞ is studied. It is found that Gtrue(ρ2×2true) shows little size dependence in the strong‐field and weak‐field limit, and presents dramatic size dependence in the middle‐field region. The results are explained by short‐range correlations in non‐critical regions and long‐range correlations in critical regions of the models, respectively. Then the scaling behavior of the GQD Gtrue(true|ψg〉true) of the ground states for the entire N × N squares is studied. It is found that Gtrue(true|ψg〉true) contains a 1D contribution (corresponding to the side length of the squares) and a 2D contribution (corresponding to the area of the squares). Furthermore, the effect of thermodynamic fluctuations on GQD by investigating the thermal‐state GQD Gtrue(e−HkBTtrue) is considered. In high‐temperature regions, GQD is always destroyed by thermodynamic fluctuations for any strength of the magnetic field. However, in low‐temperature regions, some thermal enhancement of GQD under weak fields and some thermal robustness of GQD under strong fields is observed. The results are explained by the low‐lying energy states and the energy gap of the models.

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Multipartite nonlocality and global quantum discord in the antiferromagnetic Lipkin–Meshkov–Glick model

Bao

Guo

Liu

et al. 2020

Physica B: Condensed Matter

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Odd-even effect of quantum discord in the spin-1/2 Heisenberg two-leg ladder with ring exchange

Cited by 3 publications

References 42 publications

Global quantum discord in the Lipkin–Meshkov–Glick model at zero and finite temperatures

Global quantum discord in the Lipkin–Meshkov–Glick model at zero and finite temperatures

Global Quantum Discord in Transverse‐Field Ising Models on N × N Square Lattices

Multipartite nonlocality and global quantum discord in the antiferromagnetic Lipkin–Meshkov–Glick model

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