Quantum localization and bound-state formation in Bose-Einstein condensates

Year: 2010

Authors: Franzosi R., Giampaolo S. M., Illuminati F.

Autors Affiliation: Dipartimento di Matematica e Informatica, Università degli Studi di Salerno, Via Ponte don Melillo, I-84084 Fisciano (SA), Italy and CNISM Unità di Salerno, and INFN Sezione di Napoli, Gruppo Collegato di Salerno, I-84084 Fisciano (SA), Italy

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.

Journal/Review: PHYSICAL REVIEW A

Volume: 82 (6)      Pages from: 063620  to: 063620

More Information: This work has been realized in the framework of the Seventh Framework Programme (FP7) Specific Targeted Research Project (STREP) Project HIP (Hybrid Information Processing), Grant No. 221889. The authors wish to thank Prof. Vittorio Penna for interesting and stimulating discussions.
KeyWords: Bose-Einstein condensates; Bosonic atoms; Bound state; Energy band; Energy spectra; Non-Linearity; Optical lattices; Quantum localization; Repulsive interactions; Ultra-cold; Visibility measurements, Band structure; Excited states; Particle optics; Spectroscopy; Statistical mechanics; Steam condensers, Quantum theory
DOI: 10.1103/PhysRevA.82.063620

Citations: 17
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