Stuttgart 2012 – scientific programme

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A: Fachverband Atomphysik

A 16: Ultra-cold atoms, ions and BEC I

A 16.7: Talk

Tuesday, March 13, 2012, 15:45–16:00, V7.02

Ansatz for bosons in harmonic trap: from two to many — •Ioannis Brouzos and Peter Schmelcher — Zentrum für optischen Quantentechnolgien, Hamburg Germany

We develop an analytical many-body wave function to accurately describe the crossover of a one-dimensional bosonic system from weak to strong interactions in a harmonic trap. The explicit wave function, which is based on the exact two-body states, consists of symmetric multiple products of the corresponding parabolic cylinder functions, and respects the analytically known limits of zero and infinite repulsion for arbitrary number of particles. For intermediate interaction strengths we demonstrate, that the energies, as well as the reduced densities of first and second order, are in excellent agreement with large scale numerical calculations.