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DY: Fachverband Dynamik und Statistische Physik

DY 60: Quantum Dynamics, Decoherence and Quantum Information (joint session DY/TT)

DY 60.9: Talk

Friday, March 22, 2024, 12:45–13:00, A 151

Extended Hilbert Space for Discontinuous Floquet Drives in the Walsh Basis — •James Walkling and Marin Bukov — Max Planck Institute for the Physics of Complex Systems, Dresden, Germany

The form of the Floquet counterdiabatic protocol has recently been found and formulated in terms of a variational principle. While good convergence is achieved in a number of systems for harmonic drives, for step drives, the convergence of the numerics is poorly behaved. As a result, we explore a reformulation of Floquet Hilbert space in terms of a more natural basis for step drives: the Walsh basis. Among other nice properties, this basis forms a group for certain finite truncations. We investigate the results of this change of basis on the overall Hamiltonian in the extended space.

Keywords: Floquet; Driven systems; Discontinuous drives; Counterdiabatic