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

2007/03/27 by Andrea Tomadin, Riccardo Mannella, R. Mannella +1
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Excited state #Physics #Quantum chaos and dynamical systems #Quantum mechanics #Quantum tunnelling #Quantum, superfluid, helium dynamics #Zener diode #cond-mat.other

paper · pdf · doi:10.1103/physrevlett.98.130402

published as Phys. Rev. Lett. 98, 130402 (2007) · 4 pages, 3 figures

openalex publication_date 2007/03/27 · arxiv created 2007/04/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• Transition from a Strongly Interacting 1D Superfluid to a Mott Insulator
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Bloch Oscillations and Mean-Field Effects of Bose-Einstein Condensates in 1D Optical Lattices
• Time-dependent tunneling of Bose-Einstein condensates
• Nonlinearity-induced destruction of resonant tunneling in the Wannier-Stark problem
• Formation of Spatial Shell Structure in the Superfluid to Mott Insulator Transition
• Dynamics of Bose-Einstein condensates in optical lattices
• Random-matrix theory of quantum transport
• Wannier-Stark resonances in optical and semiconductor superlattices

Cited by

• Ultracold Bosons in a Tilted Multilevel Double-Well Potential