Emergence of coherence in the Mott-insulator-superfluid quench of the Bose-Hubbard model

Journal Article · Wed Dec 15 00:00:00 EST 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.063603· OSTI ID:21528926

Navez, Patrick ^[1]; Schuetzhold, Ralf ^[1]

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1. Fakultaet fuer Physik, Universitaet Duisburg-Essen, Lotharstrasse 1, D-47057 Duisburg (Germany)

We study the quench from the Mott-insulator to the superfluid phase in the Bose-Hubbard model and investigate the spatial-temporal growth of phase coherence, that is, phase locking between initially uncorrelated sites. To this end, we establish a hierarchy of correlations via a controlled expansion into inverse powers of the coordination number 1/Z. It turns out that the off-diagonal long-range order spreads with a constant propagation speed, forming local condensate patches, whereas the phase correlator follows a diffusionlike growth rate.

• OSTI ID: 21528926
• Journal Information: Physical Review. A, Vol. 82, Issue 6; Other Information: DOI: 10.1103/PhysRevA.82.063603; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COORDINATION NUMBER
CORRELATIONS
ELECTRICAL INSULATORS
HUBBARD MODEL
SUPERFLUIDITY
CRYSTAL MODELS
ELECTRICAL EQUIPMENT
EQUIPMENT
MATHEMATICAL MODELS