Effective spin model for interband transport in a Wannier-Stark lattice system

Abstract

We show that the interband dynamics in a tilted two-band Bose-Hubbard model can be reduced to an analytically accessible spin model in the case of resonant interband oscillations. This allows us to predict the revival time of these oscillations which decay and revive due to inter-particle interactions. The presented mapping onto the spin model and the so achieved reduction of complexity has interesting perspectives for future studies of many-body systems.

7 pages, 4 figures

References in corpus (21)

• Many-Body Physics with Ultracold Gases
• Feshbach Resonances in Ultracold Gases
• Theory of ultracold Fermi gases
• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• Many-particle entanglement with Bose--Einstein condensates
• Nonlinear atom interferometer surpasses classical precision limit
• Squeezing and entanglement in a Bose-Einstein condensate
• Wannier-Stark resonances in optical and semiconductor superlattices
• Probing quantum and thermal noise in an interacting many-body system
• Resonant coupling of a Bose-Einstein condensate to a micromechanical oscillator
• Time-resolved measurement of Landau-Zener tunneling in periodic potentials
• Universal properties of hard-core bosons confined on one-dimensional lattices
• The dissipative two-level system under strong ac-driving: a combination of Floquet and Van Vleck perturbation theory
• Meissner effect in superconducting microtraps
• Many-body interband tunneling as a witness for complex dynamics in the Bose-Hubbard model
• Signatures of the superfluid to Mott-insulator transition in the excitation spectrum of ultracold atoms
• Many-body Landau-Zener tunneling in the Bose-Hubbard model
• Collapse and revival in inter-band oscillations of a two-band Bose-Hubbard model
• Macroscopic Entanglement of a Bose Einstein Condensate on a Superconducting Atom Chip
• Macroscopic entanglement between a Bose Einstein condensate and a superconducting loop
• Bose-Fermi mixtures in 1D optical superlattices

Cited by in corpus (15)

• Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
• Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
• Correlated phases of bosons in tilted, frustrated lattices
• Stroboscopic versus non-stroboscopic dynamics in the Floquet realization of the Harper-Hofstadter Hamiltonian
• A two-band Bose-Hubbard model for many-body resonant tunneling in the Wannier-Stark system
• Quantum diffusion and thermalization at resonant tunneling
• Stückelberg-Interferometry with ultra-cold atoms
• Non-hermitian approach to decaying ultracold bosonic systems
• Exact numerical methods for a many-body Wannier Stark system
• Hierarchical relaxation dynamics in a tilted two-band Bose-Hubbard model
• Manifold approach for a many-body Wannier-Stark system: localization and chaos in energy space
• Off-resonant many-body quantum carpets in strongly tilted optical lattices
• Chaotic level mixing in a two-band Bose-Hubbard model
• Synthesizing arbitrary dispersion relations in a modulated tilted optical lattice
• Generation of robust entangled states in a non-hermitian periodically driven two-band Bose-Hubbard system