Berlin 2005 – scientific programme

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TT: Tiefe Temperaturen

TT 23: Posters Superconductivity, Solids at Low Temperature

TT 23.59: Poster

Monday, March 7, 2005, 14:00–18:00, Poster TU D

Density flutuations of a hard-core Bose gas in a one-dimensional lattice — •Christopher Moseley, Cenap Ates, and Klaus Ziegler — Institut für Physik, Universität Augsburg, 86135 Augsburg

We consider a hard-core Bose gas on a one-dimensional optical lattice with and without confining potential. For this purpose a model of the statistics of directed polymers in two dimensions is applied to the world lines of the hard-core bosons, such that a crossing of different world lines is prohibited. We find characteristic oscillations in the density-density correlation function. Their wavelength diverges as the system undergoes a continuous transition from an incommensurate to a Mott insulating phase. The associated static structure factor vanishes as the Mott insulating phase is approached.