Weyl Josephson Circuits

Abstract

We introduce Weyl Josephson circuits: small Josephson junction circuits that simulate Weyl band structures. We first formulate a general approach to design circuits that are analogous to Bloch Hamiltonians of a desired dimensionality and symmetry class. We then construct and analyze a six-junction device that produces a 3D Weyl Hamiltonian with broken inversion symmetry and in which topological phase transitions can be triggered \emph{in situ}. We argue that currently available superconducting circuit technology allows experiments that probe topological properties inaccessible in condensed matter systems.

arXiv comment13 pages, 8 figures

References in corpus (78)

• Topological Insulators
• Topological insulators and superconductors
• Quantum Spin Hall Effect in Graphene
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Unpaired Majorana fermions in quantum wires
• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
• Charge insensitive qubit design derived from the Cooper pair box
• Quantum Simulation
• A Quantum Engineer's Guide to Superconducting Qubits
• Kwant: a software package for quantum transport
• Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
• Experimental observation of Weyl points
• Topolectrical circuit realization of topological corner modes
• Topological mechanics of gyroscopic metamaterials
• A Superconducting Persistent Current Qubit
• Quantized circular photogalvanic effect in Weyl semimetals
• Strong Coupling of a Spin Ensemble to a Superconducting Resonator
• An Adiabatic Quantum Electron Pump
• Dynamically protected cat-qubits: a new paradigm for universal quantum computation
• Confining the state of light to a quantum manifold by engineered two-photon loss
• Direct optical detection of Weyl fermion chirality in a topological semimetal
• Double-Weyl phonons in transition-metal monosilicides
• Photocurrents in Weyl semimetals
• Two-dimensional epitaxial superconductor-semiconductor heterostructures: A platform for topological superconducting networks
• Geometry and non-adiabatic response in quantum and classical systems
• Introduction to Quantum Electromagnetic Circuits
• Coherent manipulation of Andreev states in superconducting atomic contacts
• Multi-terminal Josephson junctions as topological materials
• Observation of topological transitions in interacting quantum circuits
• Topologically protected quantum bits from Josephson junction arrays
• Suppressing qubit dephasing using real-time Hamiltonian estimation
• Superconducting Nanocircuits for Topologically Protected Qubits
• Exciting Andreev pairs in a superconducting atomic contact
• Spin-orbit splitting of Andreev states revealed by microwave spectroscopy
• Measuring a topological transition in an artificial spin 1/2 system
• Mechanical Weyl Modes in Topological Maxwell Lattices
• Probing the Berry Curvature and Fermi Arcs of a Weyl Circuit
• New fermions on the line in topological symmorphic metals
• Topological Maxwell Metal Bands in a Superconducting Qutrit
• Improving wafer-scale Josephson junction resistance variation in superconducting quantum coherent circuits
• Experimental determination of the Berry phase in a superconducting charge pump
• Single fermion manipulation via superconducting phase differences in multiterminal Josephson junctions
• The multi-terminal Josephson effect
• Topological transconductance quantization in a four-terminal Josephson junction
• Direct Dispersive Monitoring of Charge Parity in Offset-Charge-Sensitive Transmons
• Dynamical Quantum Hall Effect in the Parameter Space
• Supercurrent Flow in Multi-Terminal Graphene Josephson Junctions
• Microwave Spectroscopy Reveals the Quantum Geometric Tensor of Topological Josephson Matter
• Floquet analysis of excitations in materials
• Topological circuits of inductors and capacitors
• Singularities of Andreev spectrum in multi-terminal Josephson junction
• Non-trivial Chern numbers in three-terminal Josephson junctions
• Non-local Supercurrent of Quartets in a Three-Terminal Josephson Junction
• Supercurrent Spectroscopy of Andreev States
• Transport Studies in a Gate-Tunable Three-Terminal Josephson Junction
• Anomalous Charge Noise in Superconducting Qubits
• Nanoampere pumping of Cooper pairs
• Mixed Weyl semimetals and dissipationless magnetization control in insulators by spin-orbit torques
• Majorana-Weyl crossings in topological multi-terminal junctions
• Topological phase diagram of a three-terminal Josephson junction: From the conventional to the Majorana regime
• The Cooper Pair Pump as a Quantized Current Source
• Topological properties of multi-terminal superconducting nanostructures: effect of a continuous spectrum
• Determine the chirality of Weyl fermions from the circular dichroism spectra of time-dependent ARPES
• Synthetic Weyl Points and Chiral Anomaly in Majorana Devices with Nonstandard Andreev-Bound-State Spectra
• Transconductance quantization in a topological Josephson tunnel junction circuit
• Realizing and manipulating space-time inversion symmetric topological semimetal bands with superconducting quantum circuits
• Interference effects in isolated Josephson junction arrays with geometric symmetries
• Nodal Andreev Spectra in Multi-Majorana Three-Terminal Josephson Junctions
• Topological quantization by controlled paths: application to Cooper pairs pumps
• Berry curvature tomography and realization of topological Haldane model in driven three-terminal Josephson junctions
• Superconducting tetrahedral quantum bits
• Very high frequency spectroscopy and tuning of a single-Cooper-pair-transistor with an on-chip generator
• Single Cooper-pair pumping in the adiabatic limit and beyond
• Tunneling of Cooper pairs across voltage biased asymmetric single-Cooper-pair transistors
• Merging diabolical points of a superconducting circuit
• A minimal, "hydrogen atom" version of an inversion-breaking Weyl semimetal

Cited by in corpus (43)

• Gate-tunable Superconducting Diode Effect in a Three-terminal Josephson Device
• The Multi-terminal Inverse AC Josephson Effect
• Ground-state quantum geometry in superconductor-quantum dot chains
• Transconductance quantization in a topological Josephson tunnel junction circuit
• Double-Fourier engineering of Josephson energy-phase relationships applied to diodes
• Multiplet supercurrent in Josephson tunneling circuits
• Cooper-pair transistor as a minimal topological quantum circuit
• Multi-terminal Josephson junctions: a road to topological flux networks
• Non-Abelian monopoles in the multiterminal Josephson effect
• Non-hermitian topology in multiterminal superconducting junctions
• Tensor Monopoles in superconducting systems
• Quantum circuits with multiterminal Josephson-Andreev junctions
• A quantum interferometer for quartets in superconducting three-terminal Josephson junctions
• Ultralong-distance quantum correlations in three-terminal Josephson junctions
• Controllable odd-frequency Cooper pairs in multi-superconductor Josephson junctions
• Proposal for detecting the $\pi -$shifted Cooper quartet supercurrent
• Majorana-mediated thermoelectric transport in multiterminal junctions
• Topological van Hove singularities at phase transitions in Weyl metals
• Weyl point immersed in a continuous spectrum: an example from superconducting nanostructures
• Operating a passive on-chip superconducting circulator: device control and quasiparticle effects
• Ground state topology of a four-terminal superconducting double quantum dot
• Flux-tunable Josephson Effect in a Four-Terminal Junction
• Charge quantization and detector resolution
• Spectral Signatures of Non-Trivial Topology in a Superconducting Circuit
• Two-tone spectroscopy of high-frequency quantum circuits with a Josephson emitter
• Quasiperiodic circuit quantum electrodynamics
• Geometrical Rabi oscillations and Landau-Zener transitions in non-Abelian systems
• Circulation by microwave-induced vortex transport for signal isolation
• Fractional transconductance via non-adiabatic topological Cooper pair pumping
• Multiplet Supercurrents in a Josephson Circuit
• Magnetointerferometry of multiterminal Josephson junctions
• Self-heating effects and switching dynamics in graphene multiterminal Josephson junctions
• Topological charge distributions of an interacting two-spin system
• Josephson tunnel junction arrays and Andreev weak links: linked by a single energy-phase relation
• Majorana Braiding Racetracks from Charge Chern Insulator - Superconductor Hybrids
• Phase dynamics in an AC driven multiterminal Josephson junction analogue
• Topological power pumping in quantum circuits
• Josephson and persistent currents in a quantum ring between topological superconductors
• The geometry of the Hermitian matrix space and the Schrieffer--Wolff transformation
• Weak ${\mathbb{Z}}_2$ Supertopology
• Superconducting on-chip spectrometer for mesoscopic quantum systems
• Theory of Berry Singularity Markers: Diagnosing Topological Phase Transitions via Lock-In Tomography
• Drastic effect of weak interaction near special points in semiclassical multiterminal superconducting nanostructures