Collective modes of a strongly interacting Bose gas: probing the Mott transition

Details Collective modes of a strongly interacting Bose gas: probing the Mott transition Collective modes of a strongly interacting Bose gas: probing the Mott transition

2011-06-03

arxiv.org/abs/1106.0575v2

Phys. Rev. A 85, 013635 (2012)

Physics

Condensed Matter

Quantum Gases

10 pages, 7 figures; updated figures, published version

Scientific paper

10.1103/PhysRevA.85.013635

We analyze the collective modes of a harmonically trapped, strongly interacting Bose gas in an optical lattice in the vicinity of the Mott insulator transition. For that aim we employ the dynamical Gutzwiller equations, by performing real-time evolution and by solving the equations in linear response. We find a strong dependence on the spatial dimension of the system: while in one dimension the frequency of the dipole mode vanishes at the Mott transition, in higher dimensions the dominant dipole mode is featureless and we find a signature only in the breathing mode. We discuss implications for experiments with bosonic and fermionic atoms.

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