• Quantum information entropies of ultracold atomic gases in a harmonic trap

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/077/04/0697-0705

    • Keywords

       

      Ultracold atomic gases; information entropy; foundations of quantum mechanics.

    • Abstract

       

      The position and momentum space information entropies of weakly interacting trapped atomic Bose–Einstein condensates and spin-polarized trapped atomic Fermi gases at absolute zero temperature are evaluated. We find that sum of the position and momentum space information entropies of these quantum systems containing 𝑁 atoms confined in a $D(\leq 3)$-dimensional harmonic trap has a universal form as $S^{(D)}_t = N(a D − b ln N)$, where $a \sim 2.332$ and $b = 2$ for interacting bosonic systems and a $a \sim 1.982$ and $b = 1$ for ideal fermionic systems. These results obey the entropic uncertainty relation given by Beckner, Bialynicki-Birula and Myceilski.

    • Author Affiliations

       

      Tutul Biswas1 Tarun Kanti Ghosh1

      1. Department of Physics, Indian Institute of Technology-Kanpur, Kanpur 208 016, India
    • Dates

       
  • Pramana – Journal of Physics | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2017-2019 Indian Academy of Sciences, Bengaluru.