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Exact state revival in a spin chain with next-to-nearest neighbour interactions

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Physical and Mathematical Aspects of Symmetries

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Abstract

An extension with next-to-nearest neighbour interactions of the simplest XX spin chain with perfect state transfer (PST) is presented. The conditions for PST and entanglement generation (balanced fractional revival) can be obtained exactly and are discussed.

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Authors and Affiliations

  1. Department of Mathematical Sciences, University of Copenhagen, Universitetspanken 5, 2100, Copenhagen, Denmark

    Matthias Christandl

  2. Centre de Recherches Mathématiques, Université de Montréal, C.P. 6128, Succursale Centre-ville, Montréal, QC, Canada, H3C 3J7

    Luc Vinet

  3. Department of Mathematics, Information School, Renmin University of China, Beijing, 100872, China

    Alexei Zhedanov

Authors
  1. Matthias Christandl
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  2. Luc Vinet
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  3. Alexei Zhedanov
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Corresponding author

Correspondence to Matthias Christandl .

Editor information

Editors and Affiliations

  1. Centro Brasileiro de Pesquisas Físicas, Rio de Janeiro, Rio de Janeiro, Brazil

    Sergio Duarte

  2. Laboratoire APC, Paris Diderot University, Paris, France

    Jean-Pierre Gazeau

  3. Centro Brasileiro de Pesquisas Físicas, Rio de Janeiro, Rio de Janeiro, Brazil

    Sofiane Faci

  4. Centro Brasileiro de Pesquisas Físicas, Rio de Janeiro, Rio de Janeiro, Brazil

    Tobias Micklitz

  5. Universidade Federal Rural do Rio de Janeiro, Seropédica, Rio de Janeiro, Brazil

    Ricardo Scherer

  6. Centro Brasileiro de Pesquisas Físicas, Rio de Janeiro, Rio de Janeiro, Brazil

    Francesco Toppan

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© 2017 Springer International Publishing AG

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Christandl, M., Vinet, L., Zhedanov, A. (2017). Exact state revival in a spin chain with next-to-nearest neighbour interactions. In: Duarte, S., Gazeau, JP., Faci, S., Micklitz, T., Scherer, R., Toppan, F. (eds) Physical and Mathematical Aspects of Symmetries. Springer, Cham. https://doi.org/10.1007/978-3-319-69164-0_53

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