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Exploring the tripartite entanglement and quantum phase transition in the \(XXZ+h\) model

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Abstract

The behavior of bipartite and tripartite entanglement in Heisenberg \(XXZ+h\) spins chain is investigated with the size of system using the approach of quantum renormalization group method. In thermodynamics limit, both types of entanglement exhibit quantum phase transition (QPT). The boundary of QPT links the phases of saturated entanglement and zero entanglement. The first derivative of both entanglements becomes discontinuous at the critical point, which corresponds to the second-order phase transition. Furthermore, the amount of saturated bipartite entanglement strongly depends on relative positions of spins, while tripartite entanglement is robust than bipartite entanglement. It turns out that the tripartite entanglement can be a better candidate than bipartite entanglement for analyzing QPT and implementing quantum information tasks.

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Authors and Affiliations

  1. Department of Physics, Quaid-i-Azam University, Islamabad, Pakistan

    Wajid Joyia & Khalid Khan

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  1. Wajid Joyia
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  2. Khalid Khan
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Correspondence to Wajid Joyia.

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Joyia, W., Khan, K. Exploring the tripartite entanglement and quantum phase transition in the \(XXZ+h\) model. Quantum Inf Process 16, 243 (2017). https://doi.org/10.1007/s11128-017-1693-9

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  • DOI: https://doi.org/10.1007/s11128-017-1693-9

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