Topological transport quantization by dissipation in fast Thouless pumps

Abstract

Thouless pumping is intrinsically an adiabatic effect, which breaks down at finite driving frequencies. We demonstrate both theoretically and experimentally that using time-periodic dissipation Thouless pumping can be restored outside of the adiabatic limit.

Molecular Control of Floquet Topological Phase in Non-adiabatic Thouless Pumping

“…Various theoretical studies − have employed model Hamiltonians such as the Rice–Mele model, and the description of topological pumping has often assumed complete adiabaticity of the Hamiltonian evolution. At the same time, studies of non-adiabatic effects on Thouless pumping have appeared in the literature. − A particularly notable development in recent years has been the idea of so-called topological Floquet engineering, in which one uses a time-periodic field to induce topological properties in a driven system that is otherwise a trivial insulator. , In a Floquet system, the time-dependent Hamiltonian satisfies Ĥ ( t + T ) = Ĥ ( t ) and the time-independent effective Hamiltonian can be defined from the time evolution operator. One can analogously apply the topological description to this effective Hamiltonian.…”