SAMOP 2023 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 52: Floquet Engineering and Topology

Q 52.1: Invited Talk

Thursday, March 9, 2023, 14:30–15:00, E001

Nonperturbative Floquet engineering and Floquet-dissipative state preparation — •Francesco Petiziol — Technische Universität Berlin, Institut für Theoretische Physik, Hardenbergstraße 36, 10623 Berlin, Germany

Time-periodic driving of quantum systems is a powerful tool for realizing effective Hamiltonians with desired properties (so-called ``Floquet engineering") and, thus, for quantum simulation. Typical Floquet engineering techniques rely on perturbative approximations and can be categorized into ``continuous" or ``digital", depending whether they employ continuous time-dependent modulations, or stepwise evolutions with time-independent Hamiltonians. I will present a hybrid continuous-digital approach that allows one to engineer local coupling terms (such as three- and four-body couplings) in a nonperturbative and scalable fashion. This approach allows for the robust engineering of Kitaev's toric-code Hamiltonian, the paradigmatic model of a topological spin liquid, which involves purely four-spin interactions. I will, moreover, discuss how eigenstates of an effective Floquet-engineered Hamiltonian can be prepared and stabilized by coupling the system to artificial baths in superconducting circuits, by generalizing approaches of reservoir engineering. In particular, I will discuss the preparation of ground states of bosonic ladders with artificial magnetic flux.