Abstract
In this article, we develop a description of topological pumps as slow classical dynamical variables coupled by a quantum system. We discuss the cases of quantum Hall pumps, Thouless pumps, and the more recent Floquet pumps based frequency converters. This last case corresponds to a quantum topological coupling between classical modes described by action-angle variables on which we focus. We propose a realization of such a topological coupler based on a superconducting qutrit suitably driven by three modulated drives. A detailed experimental protocol allowing to measure the quantized topological power transfer between the different modes of a superconducting circuit is discussed.
Highlights
Topological properties of matter have always been discussed in relation with topological pumping
We develop a description of topological pumps as slow classical dynamical variables coupled by a quantum system
Pumping manifests itself as an anomalous velocity in real space for the quantum Hall and Thouless pumps, or an anomalous velocity in the harmonic Floquet space for the frequency converter. This anomalous velocity was initially identified in the case of the quantum Hall effect in a crystal [23–25], and originates from a Berry curvature whose average value defines a Chern number characterizing the topological nature of the pump
Summary
Topological properties of matter have always been discussed in relation with topological pumping. Pumping manifests itself as an anomalous velocity in real space for the quantum Hall and Thouless pumps, or an anomalous velocity in the harmonic Floquet space for the frequency converter This anomalous velocity was initially identified in the case of the quantum Hall effect in a crystal [23–25], and originates from a Berry curvature whose average value defines a Chern number characterizing the topological nature of the pump. It was recently measured in the cold atom [6–8] and optical waveguides [10] realizations of a Thouless pump. The topological pumping leads to a topological redistribution of energy between the three microwave modes
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
