Coherent matter waves emerging from Mott-insulators

Details Coherent matter waves emerging from Mott-insulators Coherent matter waves emerging from Mott-insulators

2006-06-06

arxiv.org/abs/cond-mat/0606155v2

New J. Phys. 8, 169 (2006)

Physics

Condensed Matter

Other Condensed Matter

20 pages, 11 figures. Published version

Scientific paper

10.1088/1367-2630/8/8/169

We study the formation of (quasi-)coherent matter waves emerging from a Mott insulator for strongly interacting bosons on a one-dimensional lattice. It has been shown previously that a quasi-condensate emerges at momentum k=\pi/2a, where a is the lattice constant, in the limit of infinitely strong repulsion (hard-core bosons). Here we show that this phenomenon persists for all values of the repulsive interaction that lead to a Mott insulator at a commensurate filling. The non-equilibrium dynamics of hard-core bosons is treated exactly by means of a Jordan-Wigner transformation, and the generic case is studied using a time-dependent density matrix renormalization group technique. Different methods for controlling the emerging matter wave are discussed.

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