Topological power pumping in quantum circuits

TL;DR

This paper explores topological power transfer in quantum circuits, introducing a new superconducting qutrit-based implementation for measuring quantized topological coupling between classical modes.

Contribution

It develops a theoretical framework for topological pumps as classical-quantum coupled systems and proposes a practical superconducting circuit realization for topological power transfer measurement.

Findings

Proposes a superconducting qutrit setup for topological power transfer.

Provides an experimental protocol for quantized power measurement.

Analyzes various topological pump types including Floquet and quantum Hall pumps.

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.