Double-Fourier engineering of Josephson energy-phase relationships applied to diodes
A. Mert Bozkurt, Jasper Brookman, Valla Fatemi, Anton Akhmerov
Abstract
We present a systematic method to design arbitrary energy-phase relations using parallel arms of two series Josephson tunnel junctions each. Our approach employs Fourier engineering in the energy-phase relation of each arm and the position of the arms in real space. We demonstrate our method by engineering the energy-phase relation of a near-ideal superconducting diode, which we find to be robust against the imperfections in the design parameters. Finally, we show the versatility of our approach by designing various other energy-phase relations.
Topics & Concepts
Josephson effectFourier transformEnergy (signal processing)Fourier seriesPhase (matter)DiodePosition (finance)Relation (database)SuperconductivityPhase spaceFourier analysisPhysicsComputer scienceMathematicsCondensed matter physicsOptoelectronicsQuantum mechanicsMathematical analysisDatabaseEconomicsFinancePhysics of Superconductivity and MagnetismQuantum and electron transport phenomenaQuantum Information and Cryptography