Quantum correlations in the extended cluster spin-1/2 XXZ chain

Shadman, Z.; Cheraghi, Hadi; Mahdavifar, S.

doi:10.1016/j.physa.2018.08.156

Cited by 10 publications

(2 citation statements)

References 46 publications

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“…It is known that at the quantum critical point where the quantum phase transition happens, fluctuations of the order parameter extend throughout the system and the length of correlation diverges. Consequently, quantum correlations can mark quantum phase transitions at the critical points [54,55]. The entanglement between two spins can be measured by the concurrence.…”

Section: The Concurrence and The Quantum Discordmentioning

confidence: 99%

Quantum phases of the 1D anisotropic spin-1/2 frustrated ferromagnetic model: view point of quantum correlations

2020

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We have studied the ground state phases of the one-dimensional (1D) spin-1/2 anisotropic frustrated ferromagnetic model, using the numerical Lanczos method. We have focused on the quantum correlations as the concurrence and the quantum discord (QD) between the nearest neighbor (NN) and the next-nearest neighbor (NNN) spins. Numerical results show that the Tomonaga-Luttinger liquid (TLL), the even-parity dimer, and the vector chiral phases can be distinguished from each other using the long-distance quantum correlations. Specially, the critical points are explicitly detected in the first derivative of the concurrence between the nearest neighbor spins with respect to the frustration parameter.

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Section: The Concurrence and The Quantum Discordmentioning

confidence: 99%

Quantum phases of the 1D anisotropic spin-1/2 frustrated ferromagnetic model: view point of quantum correlations

2020

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“…Recently, the effects of TSI on the dynamics of the entanglement in 1D spin-1/2 chains have been studied in [8,[26][27][28][29][30], however most of the studies have addressed the chains which satisfy the close (periodic) boundary condition and in the thermodynamic limit  ¥ N . In addition, recently, the transfer of Bell state ñ + ñ 01 10 (| | ) from Alice to Bob across a small modified linear finite spin-1/2 chain have been investigated which have satisfied the open boundary condition and have been characterized by XX interaction [12].…”

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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Fidelity and Entanglement in the Open Spin Chain with Markovian and Non- Markovian Dynamics

Mahmoudi

Khalkhali

2022

Int J Theor Phys

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Quantum correlations in the extended cluster spin-1/2 XXZ chain

Cited by 10 publications

References 46 publications

Quantum phases of the 1D anisotropic spin-1/2 frustrated ferromagnetic model: view point of quantum correlations

Quantum phases of the 1D anisotropic spin-1/2 frustrated ferromagnetic model: view point of quantum correlations

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

Fidelity and Entanglement in the Open Spin Chain with Markovian and Non- Markovian Dynamics

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