• Spin–momenta entanglement in moving frames: Properties of von Neumann entropy

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/081/03/0385-0393

    • Keywords

       

      Relativistic entanglement; reduced von Neumann entropy; Gaussian distributions.

    • Abstract

       

      The fact that spin–momentum of massive particles become entangled (disentangled) as seen by moving observers, is used to investigate the properties of von Neumann entropy, as a measure of spin–momentum entanglement. To do so, we partition the total Hilbert space into momentum and spin subspaces so that the entanglement occurs between total spin states and total momenta of two spin-$\dfrac{1}{2}$ particles. Assuming that the occurrence of spin–momentum states is determined by Gaussian probability distributions, we show that the degree of entanglement ascends for small rapidities, reaches a maximum and diminishes at high rapidity. We further report how the characteristics of this behaviour vary as the widths of distributions change. In particular, a separable state, resulting from equal distribution widths, indeed becomes entangled in moving frames.

    • Author Affiliations

       

      S Rastgoo1 M M Golshan1

      1. Physics Department, College of Sciences, Shiraz University, Shiraz 71454, Iran
    • Dates

       
  • Pramana – Journal of Physics | News

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