Many-Body Interband Tunneling as a Witness of Complex Dynamics in the Bose-Hubbard Model

Tomadin, Andrea and Mannella, Riccardo and Wimberger, Sandro (2007) Many-Body Interband Tunneling as a Witness of Complex Dynamics in the Bose-Hubbard Model. Physical review letters, 98 (13): 130402. ISSN 0031-9007

Abstract

A perturbative model is studied for the tunneling of many-particle states from the ground band to the first excited energy band, mimicking Landau-Zener decay for ultracold, spinless atoms in quasi-one-dimensional optical lattices subjected to a tunable tilting force. The distributions of the computed tunneling rates provide an independent and experimentally accessible signature of the regular-chaotic transition in the strongly correlated many-body dynamics of the ground band.