Cooper-pair transistor as a minimal topological quantum circuit

Abstract

The outlook of protected quantum computing spurred enormous progress in the search for topological materials, sustaining a continued race to find the most experimentally feasible platform. Here, we show that one of the simplest quantum circuits, the Cooper-pair transistor, exhibits a nontrivial Chern number which has not yet been discussed, in spite of the exhaustive existing literature. Surprisingly, the resulting quantized current response is robust with respect to a large number of external perturbations, most notably low-frequency charge noise and quasiparticle poisoning. Moreover, the fact that the higher bands experience crossings with higher topological charges leads to all the bands having the same Chern number, such that there is no restriction to stay close to the ground state. Remaining small perturbations are investigated based on a generic Master equation approach. Finally, we discuss a feasible protocol to measure the quantized current.

17 pages, 4 figures

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Cited by in corpus (9)

• Double-Fourier engineering of Josephson energy-phase relationships applied to diodes
• Multi-terminal Josephson junctions: a road to topological flux networks
• Non-hermitian topology in multiterminal superconducting junctions
• Ground state topology of a four-terminal superconducting double quantum dot
• Spectral Signatures of Non-Trivial Topology in a Superconducting Circuit
• Quasiperiodic circuit quantum electrodynamics
• Fractional transconductance via non-adiabatic topological Cooper pair pumping
• Josephson tunnel junction arrays and Andreev weak links: linked by a single energy-phase relation
• Weak ${\mathbb{Z}}_2$ Supertopology