Weyl singularities in polaritonic multi-terminal Josephson junctions

Abstract

We study theoretically analog multi-terminal Josephson junctions formed by gapped superfluids created upon resonant pumping of cavity exciton-polaritons. We study the $p$-like bands of a 5-terminal junction in the 4D parameter space created by the superfluid phases acting as quasi-momenta. We find 4/6 Weyl points in 3D subspaces with preserved/broken time-reversal symmetry. We link the real space topology (vortices) to the parameter space one (Weyl points). We derive an effective Hamiltonian encoding the creation, motion, and annihilation of Weyl nodes in 4D. Our work paves the way to the study of exotic topological phases in a platform allowing direct measurement of eigenstates and band topology.

References in corpus (71)

• Topological Insulators
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry
• Quantum fluids of light
• Dirac semimetal in three dimensions
• Topological superconductors: a review
• Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal
• Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
• Analogs of quantum Hall effect edge states in photonic crystals
• Experimental observation of Weyl points
• Lasing in topological edge states of a 1D lattice
• Spawning rings of exceptional points out of Dirac cones
• Dirac Line Nodes in Inversion Symmetric Crystals
• Topological Nodal Line Semimetal and Dirac Semimetal State in Antiperovskite Cu${}_3$PdN
• A topological quantum optics interface
• Observation of topological superconductivity on the surface of an iron-based superconductor
• Topological Quantum Matter with Ultracold Gases in Optical Lattices
• Synthetic gauge fields in synthetic dimensions
• Exciton-polariton topological insulator
• Discovery of topological Weyl fermion lines and drumhead surface states in a room temperature magnet
• The Zak phase and the existence of edge states in graphene
• Milestones toward Majorana-based quantum computing
• Exploring 4D Quantum Hall Physics with a 2D Topological Charge Pump
• Topological superconductivity in a van der Waals heterostructure
• Topological quantum matter in synthetic dimensions
• Topological semi-metals with line nodes and drumhead surface states
• Realization of a three-dimensional photonic topological insulator
• Stochastic properties of systems controlled by autocatalytic reactions II
• Experimental realization of a Weyl exceptional ring
• Drumhead Surface States and Topological Nodal-Line Fermions in TlTaSe2
• Potential ring of Dirac nodes in a new polymorph of Ca${}_3$P${}_2$
• Quantum simulation of an extra dimension
• Experimental observation of optical Weyl points
• Direct measurement of the quantum geometric tensor in a two-dimensional continuous medium
• Four-Dimensional Quantum Hall Effect with Ultracold Atoms
• Multi-terminal Josephson junctions as topological materials
• Engineering spin-orbit coupling for photons and polaritons in microstructures
• Realization of ideal Weyl semimetal band in ultracold quantum gas with 3D Spin-Orbit coupling
• Optically controlling the emission chirality of microlasers
• Exploring Interacting Topological Insulators with Ultracold Atoms: the Synthetic Creutz-Hubbard Model
• Experimental Realization of Weyl Exceptional Rings in a Synthetic Three-Dimensional Non-Hermitian Phononic Crystal
• Kibble-Zurek mechanism in topologically non-trivial zigzag chains of polariton micropillars
• Quantum fluid effects and parametric instabilities in microcavities
• Topological transconductance quantization in a four-terminal Josephson junction
• Topological Andreev bands in three-terminal Josephson junctions
• Many-body topological invariants from randomized measurements
• Microwave Spectroscopy Reveals the Quantum Geometric Tensor of Topological Josephson Matter
• Experimental measurement of the divergent quantum metric of an exceptional point
• Mode-Locked Topological Insulator Laser Utilizing Synthetic Dimensions
• Singularities of Andreev spectrum in multi-terminal Josephson junction
• Non-trivial Chern numbers in three-terminal Josephson junctions
• Electrically tunable Berry curvature and strong light-matter coupling in birefringent perovskite microcavities at room temperature
• Measuring the Quantum Geometric Tensor in 2D Photonic and Polaritonic Systems
• Synthetic band-structure engineering in polariton crystals with non-Hermitian topological phases
• Second Chern Number and Non-Abelian Berry Phase in Topological Superconducting Systems
• Conversion rules for Weyl points and nodal lines in topological media
• Annihilation of exceptional points from different Dirac valleys in a 2D photonic system
• Phase-controlled bistability of a dark soliton train in a polariton fluid
• Majorana-Weyl crossings in topological multi-terminal junctions
• Josephson junctions of multiple superconducting wires
• Topological phase diagram of a three-terminal Josephson junction: From the conventional to the Majorana regime
• Ground-state quantum geometry in superconductor-quantum dot chains
• Andreev reflection in bosonic condensates
• Topological supercurrents interaction and fluctuations in the multiterminal Josephson effect
• Synthetic Weyl Points and Chiral Anomaly in Majorana Devices with Nonstandard Andreev-Bound-State Spectra
• Spectrum of Andreev Bound States in a Molecule Embedded Inside a Microwave-Excited Superconducting Junction
• Stationary quantum vortex street in a driven-dissipative quantum fluid of light
• Interacting Topological Insulators with Synthetic Dimensions
• Domain-wall topology induced by spontaneous symmetry breaking in polariton graphene
• Parametric amplification of topological interface states in synthetic Andreev bands
• Weyl points and exceptional rings with polaritons in bulk semiconductors

Cited by in corpus (8)

• Non-hermitian topology in multiterminal superconducting junctions
• Thouless pumping in a driven-dissipative Kerr resonator array
• Ground state topology of a four-terminal superconducting double quantum dot
• Fractional transconductance via non-adiabatic topological Cooper pair pumping
• Full tomography of topological Andreev bands in graphene Josephson junctions
• Design of a room-temperature topological exciton-polariton laser in a ZnO/TiO${}_2$-photonic crystal slab
• Supercurrent from the imaginary part of the Andreev levels in non-Hermitian Josephson junctions
• Multiterminal Josephson junctions with tunable topological properties