Concurrence and entanglement entropy in a dimerised spin-1/2 two-leg ladder

Nemati, Somayyeh; Batebi, S.; Mahdavifar, S.

doi:10.1140/epjb/e2011-20412-7

Cited by 6 publications

(2 citation statements)

References 40 publications

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“…which makes staggered modulation of the rung coupling [44][45][46] and breaks the spatial inversion symmetry whose inversion center is in between the two rungs. Parameters η and α are introduced as…”

Section: B Role Of the Symmetry In Protecting The Topological Phasesmentioning

confidence: 99%

Topological order parameters of the spin-12dimerized Heisenberg ladder in magnetic field

Kariyado

Hatsugai

2015

Phys. Rev. B

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Topological properties of the spin-1/2 dimerized Heisenberg ladder are investigated, focusing on the plateau phase in the magnetic field whose magnetization is half of the saturation value. Although the applied magnetic field removes most of the symmetries of the system, there is a symmetry-protected topological phase supported by the spatial inversion symmetry. The Z 2 Berry phase associated with a symmetry-respecting boundary and quantized into 0 and π is used as a symmetry-protected topological order parameter. Edge states are also analyzed to confirm the bulk-edge correspondence. In addition, a symmetry-breaking boundary is considered. Then, we observe a different type of quantization of the Berry phase, i.e., a quantization into ±π/2 of the Berry phase. In this case, the bulk-edge correspondence is also different, namely, there emerge "polarized" edge states for the case with ±π/2 quantization. We also evaluate the entanglement entropy by the infinite time-evolving block decimation (iTEBD) to complement the Berry-phase-based arguments. Further, a different type of the topological order parameter is extracted from the matrix product state representation of the ground state given by the iTEBD.

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Section: B Role Of the Symmetry In Protecting The Topological Phasesmentioning

confidence: 99%

Topological order parameters of the spin-12dimerized Heisenberg ladder in magnetic field

Kariyado

Hatsugai

2015

Phys. Rev. B

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“…Though, investigation of the impacts of TSI on the time evolution of entanglement in 1D spin chains have led to interesting results, fewer studies have been performed on these effects within spin ladders [27]. Moreover, researches along this line have been mostly focused on the quantum phase transition rather than studying the dynamics of entanglement [31][32][33][34].…”

Section: Introductionmentioning

confidence: 99%

Study of quantum state transmission across a spin chain and two-leg ladder

Dorrani¹,

Safari²,

Motamedifar³

2020

Phys. Scr.

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In this work we investigate the influence of three-spin interaction (TSI) on quantum state transmission (QST) at T = 0K and in the absence of an external field in a lightly modified 1D spin-1/2 chain and a slightly modified spin-1/2 two-leg ladder with different lengths. To reach this goal, we study the time evolution of concurrence for our models. Our results show that the TSI in the presence of isotropic Heisenberg interaction (XX interaction) within a 1D chain promotes the occurrence of QST and enhances the frequency of such events, as well. Moreover, when only TSI is considered within a spin ladder, QST occurs faster and in comparison to the case where both interactions are present, the XX interaction has more contribution in the occurrence of QST.

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