Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2008-11-10
2009 New J. Phys. 11 023010 (16pp)
Physics
Condensed Matter
Other Condensed Matter
20 pages, 9 figures, submitted to NJP
Scientific paper
10.1088/1367-2630/11/2/023010
We examine ground state correlations for repulsive, quasi one-dimensional bosons in a harmonic trap. In particular, we focus on the few particle limit N=2,3,4,..., where exact numerical solutions of the many particle Schroedinger equation are available employing the Multi-Configuration Time-dependent Hartree method. Our numerical results for the inhomogeneous system are modeled with the analytical solution of the homogeneous problem using the Bethe ansatz and the local density approximation. Tuning the interaction strength from the weakly correlated Gross-Pitaevskii- to the strongly correlated Tonks-Girardeau regime reveals finite particle number effects in the second order correlation function beyond the local density approximation.
Eckart Megan
Schleich Wolfgang P.
Schmelcher Peter
Walser Reinhold
Zöllner Sascha
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