Collective Oscillations of Strongly Correlated One-Dimensional Bosons on a Lattice

Details Collective Oscillations of Strongly Correlated One-Dimensional Bosons on a Lattice Collective Oscillations of Strongly Correlated One-Dimensional Bosons on a Lattice

2005-03-12

arxiv.org/abs/cond-mat/0503302v2

Phys. Rev. Lett. 95, 110402 (2005)

Physics

Condensed Matter

Other Condensed Matter

4 pages, 5 figures, published version

Scientific paper

10.1103/PhysRevLett.95.110402

We study the dipole oscillations of strongly correlated 1D bosons, in the hard-core limit, on a lattice, by an exact numerical approach. We show that far from the regime where a Mott insulator appears in the system, damping is always present and increases for larger initial displacements of the trap, causing dramatic changes in the momentum distribution, $n_k$. When a Mott insulator sets in the middle of the trap, the center of mass barely moves after an initial displacement, and $n_k$ remains very similar to the one in the ground state. We also study changes introduced by the damping in the natural orbital occupations, and the revival of the center of mass oscillations after long times.

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