Accurate effective Hamiltonians via unitary flow in Floquet space

Abstract

We present a systematic construction of effective Hamiltonians of periodically driven quantum systems. Because of an equivalence between the time dependence of a Hamiltonian and an interaction in its Floquet operator, flow equations, that permit to decouple interacting quantum systems, allow us to identify time-independent Hamiltonians for driven systems. With this approach, we explain the experimentally observed deviation of expected suppression of tunneling in ultracold atoms.

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• Non-Abelian gauge fields and topological insulators in shaken optical lattices
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Cited by in corpus (58)

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• Creating State-Dependent Lattices for Ultracold Fermions by Magnetic Gradient Modulation
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• Classification of Floquet Statistical Distribution for Time-Periodic Open Systems
• Floquet Many-body Engineering: Topological and Many-body Physics in Phase Space Lattices
• Floquet-engineering topological transitions in a twisted transition metal dichalcogenide homobilayer
• Floquet engineering of twisted double bilayer graphene
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• The fate of dynamical many-body localization in the presence of disorder
• Thermalization and Prethermalization in Periodically Kicked Quantum Spin Chains
• Completely positive approximate solutions of driven open quantum systems
• Local Integrals of Motion in Quasiperiodic Many-Body Localized Systems
• The optimal frequency window for Floquet engineering in optical lattices
• Spectral functions of a time-periodically driven Falicov-Kimball model: real-space Floquet DMFT study
• Dynamical Many-body Localization and Delocalization in Periodically Driven Closed Quantum Systems
• Tunable Chern insulator with shaken optical lattices
• Optimal Control of Effective Hamiltonians
• Effective time-independent analysis for quantum kicked systems
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• Dynamically induced many-body localization
• Method for finding the exact effective Hamiltonian of time driven quantum systems
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• Emergent strong zero mode through local Floquet engineering
• Efficient flow equations for dissipative systems
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• Flow-equation approach to quantum systems driven by an amplitude-modulated time-periodic force
• Disorder-induced spin-charge separation in the 1-D Hubbard model
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• Topological Phase Diagram of Optimally Shaken Honeycomb Lattices: A Dual Perspective from Stroboscopic and Non-Stroboscopic Floquet Hamiltonians
• Fourier Neural Operators for Time-Periodic Quantum Systems: Learning Floquet Hamiltonians, Observable Dynamics, and Operator Growth
• Low-frequency and Moiré Floquet engineering: a review
• Intervalley Band Crossing and Transition of Fractional Chern Insulators in Floquet Twisted Bilayer MoTe${}_2$
• Harmonic oscillator kicked by spin measurements: a Floquet-like system without classical analogous
• Dynamical Confinement and Magnetic Traps for Charges and Spins
• Floquet engineering and non-equilibrium topological maps in twisted trilayer graphene