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Suppressing Parametric Instabilities in Driven Bosonic Lattices through Multi-tone Control
Robbie Cruickshank, Samuel Lellouch, Marin Bukov +3
Periodically driven quantum systems offer remarkable flexibility in tailoring effective Hamiltonians and synthetic band structures. However, such driving also induces heating and d…
Controlled Buildup of Half-Quantized Thermal Conductance in an Engineered Chiral Spin Liquid Platform
Bo-Ye Sun, Baptiste Bermond, Lucila Peralta Gavensky +3
We study thermal transport along the edge of a small chiral-spin-liquid device coupled to two Ising-chain reservoirs, a platform suitable for quantum-engineered systems. Adiabatica…
Engineering and probing non-Abelian chiral spin liquids using periodically driven ultracold atoms
Bo-Ye Sun, Nathan Goldman, Monika Aidelsburger +1
We propose a scheme to implement Kitaev's honeycomb model with cold atoms, based on a periodic (Floquet) drive, in view of realizing and probing non-Abelian chiral spin liquids usi…
Reinforcement learning for autonomous preparation of Floquet-engineered states: Inverting the quantum Kapitza oscillator
Marin Bukov
I demonstrate the potential of reinforcement learning (RL) to prepare quantum states of strongly periodically driven non-linear single-particle models. The ability of Q-Learning to…
Parametric instabilities of interacting bosons in periodically-driven 1D optical lattices
K. Wintersperger, M. Bukov, J. Näger +6
Periodically-driven quantum systems are currently explored in view of realizing novel many-body phases of matter. This approach is particularly promising in gases of ultracold atom…
Parametric Instability Rates in Periodically-Driven Band Systems
S. Lellouch, M. Bukov, E. Demler +1
This work analyses the dynamical properties of periodically-driven band models. Focusing on the case of Bose-Einstein condensates, and using a meanfield approach to treat inter-par…
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: (…
Heating and many-body resonances in a periodically driven two-band system
Marin Bukov, Markus Heyl, David A. Huse +1
We study the dynamics and stability in a strongly interacting resonantly driven two-band model. Using exact numerical simulations, we find a stable regime at large driving frequenc…
Schrieffer-Wolff Transformation for Periodically Driven Systems: Strongly Correlated Systems with Artificial Gauge Fields
Marin Bukov, Michael Kolodrubetz, Anatoli Polkovnikov
We generalize the Schrieffer-Wolff transformation to periodically driven systems using Floquet theory. The method is applied to the periodically driven, strongly interacting Fermi-…
Prethermal Floquet Steady States and Instabilities in the Periodically Driven, Weakly Interacting Bose-Hubbard Model
Marin Bukov, Sarang Gopalakrishnan, Michael Knap +1
We explore prethermal Floquet steady states and instabilities of the weakly interacting two-dimensional Bose-Hubbard model subject to periodic driving. We develop a description of…
Stroboscopic versus non-stroboscopic dynamics in the Floquet realization of the Harper-Hofstadter Hamiltonian
Marin Bukov, Anatoli Polkovnikov
We study the stroboscopic and non-stroboscopic dynamics in the Floquet realization of the Harper-Hofstadter Hamiltonian. We show that the former produces the evolution expected in…
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…