Manifold approach for a many-body Wannier-Stark system: localization and chaos in energy space
arXiv:1401.1446 · doi:10.12693/APhysPolA.124.1091
Abstract
We study the resonant tunneling effect in a many-body Wannier-Stark system, realized by ultracold bosonic atoms in an optical lattice subjected to an external Stark force. The properties of the many-body system are effectively described in terms of upper-band excitation manifolds, which allow for the study of the transition between regular and quantum chaotic spectral statistics. We show that our system makes it possible to control the spectral statistics locally in energy space by the competition of the force and the interparticle interaction. By a time-dependent sweep of the Stark force the dynamics is reduced to a Landau-Zener problem in the single-particle setting.
References in corpus (11)
- Many-Body Physics with Ultracold Gases
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
- Control of Interaction-Induced Dephasing of Bloch Oscillations
- Kilohertz-driven Bose-Einstein condensates in optical lattices
- Resonant tunneling of Bose-Einstein condensates in optical lattices
- Many-body interband tunneling as a witness for complex dynamics in the Bose-Hubbard model
- Time-resolved measurement of Landau--Zener tunneling in different bases
- Many-body Landau-Zener tunneling in the Bose-Hubbard model
- Collapse and revival in inter-band oscillations of a two-band Bose-Hubbard model
- Effective spin model for interband transport in a Wannier-Stark lattice system
Cited by in corpus (6)
- Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
- Long-time behavior of periodically driven isolated interacting lattice systems
- Scattering Theory for Floquet-Bloch States
- Quantum diffusion and thermalization at resonant tunneling
- Spectral analysis of two-dimensional Bose-Hubbard models
- Exact numerical methods for a many-body Wannier Stark system