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Many-Body Quantum Dynamics of Initially Trapped Systems due to a Stark Potential: Thermalization versus Bloch Oscillations

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Ribeiro,  P.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Lazarides,  Achilleas
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Haque,  Masudul
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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1903.09261.pdf
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Citation

Ribeiro, P., Lazarides, A., & Haque, M. (2020). Many-Body Quantum Dynamics of Initially Trapped Systems due to a Stark Potential: Thermalization versus Bloch Oscillations. Physical Review Letters, 124(11): 110603. doi:10.1103/PhysRevLett.124.110603.


Cite as: https://hdl.handle.net/21.11116/0000-0006-6E06-9
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 thermalizing systems. We consider both fennions (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 timescale at which Bloch oscillations decohere.