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On the information entropy of matter-waves in quasi-periodic lattice potentials

  • Kajal Krishna Dey
  • Sudipta Das
  • Golam Ali SekhEmail author
Regular Article
  • 17 Downloads

Abstract

We consider spatial localization of matter waves in quasi-periodic potentials within the framework of mean-field approach. The system can support bound states localized either in single lattice site or extended over many lattice sites. Localization of the state is quantified by means of Shannon information entropy in co-ordinate (Sρ) and momentum (Sγ) spaces for both attractive and repulsive interaction. It is seen that the difference in entropies (Sn) between coordinate and momentum spaces becomes negative for attractive interaction while it becomes positive for repulsive interaction. The value of |Sn| decreases with the increase of localization. The highest value of localization is, however, limited by the entropic uncertainty relation. The quasi-bound state is found to hold lowest entropic uncertainty (maximally localized) in the zero interaction limit.

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Keywords

Cold Matter and Quantum Gas 

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Copyright information

© EDP Sciences, SIF, Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of PhysicsBanwarilal Bhalotia CollegeAsansolIndia
  2. 2.Department of PhysicsKazi Nazrul UniversityAsansolIndia
  3. 3.Department of PhysicsGovernment General Degree CollegeChapra Shikra, NadiaIndia

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