Many-body quantum dynamics of initially trapped systems due to a Stark potential --- thermalization vs. Bloch oscillations

Abstract

We analyze the dynamics of an initially trapped cloud of interacting quantum particles on a lattice under a linear (Stark) potential. We reveal a dichotomy: initially trapped interacting systems possess features typical of both many-body-localized and self-thermalizing systems. We consider both fermions ($t$-$V$ model) and bosons (Bose-Hubbard model). For the zero and infinite interaction limits, both systems are integrable: we provide analytic solutions in terms of the moments of the initial cloud shape, and clarify how the recurrent dynamics (many-body Bloch oscillations) depends on the initial state. Away from the integrable points, we identify and explain the time scale at which Bloch oscillations decohere.

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• Transport in Stark Many Body Localized Systems
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• Dynamical localization and slow dynamics in quasiperiodically-driven quantum systems
• From Ergodicity to Many-Body Localization in a One-Dimensional Interacting Non-Hermitian Stark System
• Transport controlled by Poincaré orbit topology in a driven inhomogeneous lattice gas
• Discrete time-crystals in unbounded potentials
• Robustness of Stark many-body localization in the $J_1$-$J_2$ Heisenberg model
• Two-doublon Bloch oscillations in the mass-imbalanced extended Fermi-Hubbard model
• Reviving product states in the disordered Heisenberg chain
• Protecting coherence from the environment via Stark many-body localization in a Quantum-Dot Simulator
• Fate of the Quasi-condensed State for Bias-driven Hard-Core Bosons in one Dimension
• Quantum Avalanches in ${\mathbb{Z}}_2$-preserving Interacting Ising Majorana Chain