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Von Neumann Entropy Distribution with Influence Factors in Matrix Product States

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Abstract

Different kinds of description and measure of multispin quantum correlation (MSQC) and the corresponding influence factors investigation not only advance the understanding of MSQC organization and structure, but also concern different kinds of specific potential applications with the superiorities compared to the corresponding classical ones. The previous conventional condensed matter theory approach researches all focused on some existing kinds of MSQC description and measure on the concrete interaction-model parameters based on a few ground-state solvable models. Here by using Matrix Product States (MPSs), we not only investigate the MSQC varying with the concrete interaction model parameters, but also investigate other influence factors including the total spin number (TSN) and the characteristic parameters of the MSQC concrete description and measure, starting with Von Neumann Entropy (VNE) distribution with influence factors. The long-wavelength VNE behavior is also investigated and analyzed. We then further study their physical mechanisms, especially for long-range MSQC beyond our previous cognition.

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  1. College of Optoelectronics Technology, Chengdu University of Information Technology, Chengdu, 610225, China

    Jing-Min Zhu

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  1. Jing-Min Zhu
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Correspondence to Jing-Min Zhu.

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Zhu, JM. Von Neumann Entropy Distribution with Influence Factors in Matrix Product States. Int J Theor Phys 59, 2494–2508 (2020). https://doi.org/10.1007/s10773-020-04517-x

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  • DOI: https://doi.org/10.1007/s10773-020-04517-x

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