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

• # Fulltext

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

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

• # Pramana – Journal of Physics

Volume 95, 2021
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019