Weyl Josephson circuits

We introduce Weyl Josephson circuits: small junction circuits that simulate band structures. first formulate a general approach to design are analogous Bloch Hamiltonians of desired dimensionality and symmetry class. then construct analyze six-junction device produces three-dimensional (3D) Hamiltonian with broken inversion in which topological phase transitions can be triggered situ. argue currently available superconducting circuit technology allows experiments probe properties inaccessible condensed matter systems.Received 25 September 2020Accepted 2 February 2021DOI:https://doi.org/10.1103/PhysRevResearch.3.013288Published by the American Physical Society under terms Creative Commons Attribution 4.0 International license. Further distribution this work must maintain attribution author(s) published article's title, journal citation, DOI.Published SocietyPhysics Subject Headings (PhySH)Research AreasGeometric & phasesJosephson effectMesoscopicsQuantum metrologyQuantum simulationQuantum transportSuperconductivityTopological materialsTopological transitionTopological phases matterPhysical SystemsJosephson junctionsWeyl semimetalTechniquesTight-binding modelCondensed Matter, Materials Applied PhysicsQuantum Information