English

Quantum localization and bound state formation in Bose-Einstein condensates

Quantum Gases 2010-12-17 v2 Atomic Physics Quantum Physics

Abstract

We discuss the possibility of exponential quantum localization in systems of ultracold bosonic atoms with repulsive interactions in open optical lattices without disorder. We show that exponential localization occurs in the maximally excited state of the lowest energy band. We establish the conditions under which the presence of the upper energy bands can be neglected, determine the successive stages and the quantum phase boundaries at which localization occurs, and discuss schemes to detect it experimentally by visibility measurements. The discussed mechanism is a particular type of quantum localization that is intuitively understood in terms of the interplay between nonlinearity and a bounded energy spectrum.

Keywords

Cite

@article{arxiv.1007.2416,
  title  = {Quantum localization and bound state formation in Bose-Einstein condensates},
  author = {Roberto Franzosi and Salvatore M. Giampaolo and Fabrizio Illuminati},
  journal= {arXiv preprint arXiv:1007.2416},
  year   = {2010}
}

Comments

6 pages, 5 figures

R2 v1 2026-06-21T15:48:11.086Z