Exponentially long lifetime of universal quasi-steady states in topological Floquet pumps

Abstract

We investigate a mechanism to transiently stabilize topological phenomena in long-lived quasi-steady states of isolated quantum many-body systems driven at low frequencies. We obtain an analytical bound for the lifetime of the quasi-steady states which is exponentially large in the inverse driving frequency. Within this lifetime, the quasi-steady state is characterized by maximum entropy subject to the constraint of fixed number of particles in the system's Floquet-Bloch bands. In such a state, all the non-universal properties of these bands are washed out, hence only the topological properties persist.

arXiv comment4 figures, appendices included

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Cited by in corpus (7)

• Nonthermal pathways to ultrafast control in quantum materials
• Thermalization and Prethermalization in Periodically Kicked Quantum Spin Chains
• Prethermalization and Thermalization in Periodically-Driven Many-Body Systems away from the High-Frequency Limit
• Prethermalization and entanglement dynamics in interacting topological pumps
• From prethermalization to chaos in periodically driven coupled rotors
• Thouless pumping in Josephson junction arrays
• Robustness of the Floquet many-body localized phase in the presence of a smooth and a non-smooth drive