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Numerical many-body simulations of interacting 2D bosons using the MCTDHB method

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The “Multiconfigurational Time-Dependent Hartree for Bosons” (MCTDHB) method (http://mctdhb.org) has been applied very successfully in studying the ground-state prop- erties and highly non-equilibrium quantum dynamics of interacting trapped bosons in one spatial dimension (PRL 106 240401, NJP 13 043003 , PRL 103 220601). In this talk we are going to present first results with the MCTDHB in two spatial dimensions (2D). As a concrete example, we will show an exact numerical many-body study of the transition from a condensed state to a Mott-state of several interacting bosons on a real-space lattice in 2D

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