Floquet Scattering Theory based on Effective Hamiltonians of Driven Systems

Abstract

The design of time-independent effective Hamiltonians that describe periodically modulated systems, provides a promising approach to realize new forms of matter. This, so-called, Floquet engineering approach is currently limited to the description of wavepacket dynamics. Here, we utilize the notion of effective Hamiltonians and develop a Floquet engineering scattering formalism that relies on a systematic high-frequency expansion of the scattering matrix. The method unveils the critical role of micromotion. An application to the case of non-reciprocal transport is presented.

5 pages, 2 figures

References in corpus (11)

• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
• Topological Quantum Matter with Ultracold Gases in Optical Lattices
• Non-Abelian gauge fields and topological insulators in shaken optical lattices
• Coherent control of dressed matter waves
• Periodically-driven quantum matter: the case of resonant modulations
• Experimental realization of Floquet PT-symmetric systems
• Time independent description of rapidly oscillating potentials
• AC-induced superfluidity
• Towards a Floquet-Network Theory of Non-Reciprocal Transport
• Driving-induced metamorphosis of transport in arrays of coupled resonators

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• Phase Crossover induced by Dynamical Many Body Localization in Periodically Driven Long-Range Spin Systems
• Design algorithms of driving-induced nonreciprocal components
• Floquet engineering of spin-valley selective transport in jacutingaite