Hannover 2013 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 40: Quantum gases: Optical lattices II

Q 40.4: Talk

Wednesday, March 20, 2013, 14:45–15:00, A 310

Breathing mode in Bose-Hubbard chain with a harmonic trapping potential. — •Wladimir Tschischik, Masud Haque, and Roderich Moessner — Max-Planck-Institut für Physik komplexer Systeme, Dresden

Bosons in the continuum and bosons in optical lattices are both well-studied systems. We investigate the breathing mode of harmonically trapped bosons in the Bose-Hubbard (lattice) model at low fillings, seeking to connect to known results from Gross-Pitaevskii theory for continuum bosons. In 1D systems where there is no true Bose condensation, comparison with Bose-Hubbard dynamics is a particularly stringent test of the Gross-Pitaevskii description, which assumes a condensate. Using several numerical methods, we demonstrate that there is an intermediate interaction regime, between a "free-boson" limit and a "free-fermion" limit, in which the Bose-Hubbard breathing mode frequency approaches the Gross-Pitaevskii prediction.