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Phys. Rev. A 72, 053607 (2005) [5 pages]

Bose-Einstein condensates in optical quasicrystal lattices

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L. Sanchez-Palencia1,2 and L. Santos3
1Laboratoire Charles Fabry, Institut d’Optique, Université Paris-Sud XI, F-91403 Orsay, France
2Institut für Theoretische Physik, Universität Hannover, D-30167 Hannover, Germany
3Institut für Theoretische Physik III, Universität Stuttgart, D-70569 Stuttgart, Germany

Received 24 February 2005; published 8 November 2005

We analyze the physics of Bose-Einstein condensates confined in two dimensional (2D) quasiperiodic optical lattices, which offer an intermediate situation between ordered and disordered systems. First, we analyze the time-of-flight interference pattern that reveals quasiperiodic long-range order. Second, we demonstrate localization effects associated with quasidisorder as well as quasiperiodic Bloch oscillations associated with the extended nature of the wave function of a Bose-Einstein condensate in an optical quasicrystal. In addition, we discuss in detail the crossover between diffusive and localized regimes when the quasiperiodic potential is switched on, as well as the effects of interactions.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.72.053607
DOI:
10.1103/PhysRevA.72.053607
PACS:
03.75.Lm, 32.80.Pj, 71.30.+h