Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2008-05-05
New J. Phys. 10, 073032 (2008)
Physics
Condensed Matter
Other Condensed Matter
17 pages, 6 figures, updated and added several references, other minor changes and corrections
Scientific paper
10.1088/1367-2630/10/7/073032
We study cold atomic gases in a disorder potential and analyze the correlations between different systems subjected to the same disorder landscape. Such independent copies with the same disorder landscape are known as replicas. While in general these are not accessible experimentally in condensed matter systems, they can be realized using standard tools for controlling cold atomic gases in an optical lattice. Of special interest is the overlap function which represents a natural order parameter for disordered systems and is a correlation function between the atoms of two independent replicas with the same disorder. We demonstrate an efficient measurement scheme for the determination of this disorder-induced correlation function. As an application, we focus on the disordered Bose-Hubbard model and determine the overlap function within perturbation theory and a numerical analysis. We find that the measurement of the overlap function allows for the identification of the Bose-glass phase in certain parameter regimes.
Büchler Hans Peter
Daley Andrew J.
Kantian Adrian
Katzgraber Helmut G.
Lewenstein Maciej
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