Bound states and expansion dynamics of interacting bosons on a one-dimensional lattice

Year: 2014

Authors: Degli Esposti Boschi C., Ercolessi E., Ferrari L., Naldesi P., Ortolani F., Taddia L.

Autors Affiliation: CNR-IMM, Sezione di Bologna, Via Gobetti 101, Bologna I-40129, Italy;
Dipartimento di Fisica e Astronomia dell’Università di Bologna, Via Irnerio 46, Bologna I-40127, Italy;
INFN, Sezione di Bologna, Via Irnerio 46, Bologna I-40127, Italy;
Scuola Normale Superiore, Piazza dei Cavalieri 7, Pisa I-56126, Italy;
CNR-Istituto Nazionale di Ottica, UOS di Firenze LENS, Via Carrara 1, Sesto Fiorentino I-50019, Italy

Abstract: The expansion dynamics of bosonic gases in optical lattices has recently been the focus of increasing attention, both experimental and theoretical. We consider, by means of numerical Bethe ansatz, the expansion dynamics of initially confined wave packets of two interacting bosons on a lattice. We show that a correspondence between the asymptotic expansion velocities and the projection of the evolved wave function over the bound states of the system exists, clarifying the existing picture for such situations. Moreover, we investigate the role of the lattice in this kind of evolution.


Volume: 90 (4)      Pages from: 043606  to: 043606

More Information: We thank L. Barbiero, M. Dalmonte, and D. Vodola for useful discussions. L.T. acknowledges financial support by the EU integrated project SIQS.
DOI: 10.1103/PhysRevA.90.043606

Citations: 24
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