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

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    • 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

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      Posted on July 25, 2019

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