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Adiabatic Perturbation Theory and Geometry of Periodically-Driven Systems
Phillip Weinberg, Marin Bukov, Luca D'Alessio +3
We give a systematic review of the adiabatic theorem and the leading non-adiabatic corrections in periodically-driven (Floquet) systems. These corrections have a two-fold origin: (…
Dynamical preparation of Floquet Chern insulators
Luca D'Alessio, Marcos Rigol
Realizing topological insulators is of great current interest because of their remarkable properties and possible future applications. There are recent proposals, based on Floquet…
Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
Marin Bukov, Luca D'Alessio, Anatoli Polkovnikov
We give a general overview of the high-frequency regime in periodically driven systems and identify three distinct classes of driving protocols in which the infinite-frequency Floq…
Thermally isolated Luttinger liquids with noisy Hamiltonians
Luca D'Alessio, Armin Rahmani
We study the dynamics of a quantum-coherent thermally isolated Luttinger liquid with noisy Luttinger parameter. To characterize the fluctuations of the absorbed energy in generic n…