Non-hermitian topology in multiterminal superconducting junctions

Abstract

Recent experimental advancements in dissipation control have yielded significant insights into non-hermitian Hamiltonians for open quantum systems. Of particular interest are the topological characteristics exhibited by these non-hermitian systems, that arise from exceptional points - distinct degeneracies unique to such systems. In this study, we focus on Andreev bound states in multiterminal Josephson junctions with non-hermiticity induced by normal metal or ferromagnetic leads. By investigating several systems of different synthetic dimensions and symmetries, we predict fragile and stable non-hermitian topological phases in these engineered superconducting systems.

7 pages, 3 figures

References in corpus (73)

• Topological Insulators
• Non-Abelian Anyons and Topological Quantum Computation
• Topological Photonics
• Classification of topological quantum matter with symmetries
• Photonic Analogue of Two-dimensional Topological Insulators and Helical One-Way Edge Transport in Bi-Anisotropic Metamaterials
• Exceptional Topology of Non-Hermitian Systems
• Topological superconductors: a review
• Topological phases of non-Hermitian systems
• Symmetry and Topology in Non-Hermitian Physics
• Topological Origin of Non-Hermitian Skin Effects
• Topological characterization of periodically-driven quantum systems
• Dynamically encircling exceptional points in a waveguide: asymmetric mode switching from the breakdown of adiabaticity
• Majorana bound states in a coupled quantum-dot hybrid-nanowire system
• Topolectrical circuit realization of topological corner modes
• Topological Defects and Gapless Modes in Insulators and Superconductors
• Observation of Bulk Fermi Arc and Polarization Half Charge from Paired Exceptional Points
• Scalable Designs for Quasiparticle-Poisoning-Protected Topological Quantum Computation with Majorana Zero Modes
• Andreev-Tunneling, Coulomb Blockade, and Resonant Transport of Non-Local Spin-Entangled Electrons
• Milestones toward Majorana-based quantum computing
• Classification of Exceptional Points and Non-Hermitian Topological Semimetals
• Carbon Nanotubes as Cooper Pair Beam Splitters
• Topological states of non-Hermitian systems
• Josephson and Andreev transport through quantum dots
• Majorana bound states from exceptional points in non-topological superconductors
• Multi-terminal Josephson junctions as topological materials
• Topological Phase Transition driven by Infinitesimal Instability: Majorana Fermions in Non-Hermitian Spintronics
• Superconducting proximity effect in interacting double-dot systems
• Cancellation of Spin-Orbit Effects in Quantum Gates Based on the Exchange Coupling in Quantum Dots
• Topological transconductance quantization in a four-terminal Josephson junction
• Topological Andreev bands in three-terminal Josephson junctions
• Real-time diagrammatic approach to transport through interacting quantum dots with normal and superconducting leads
• Microwave Spectroscopy Reveals the Quantum Geometric Tensor of Topological Josephson Matter
• Weyl nodes in Andreev spectra of multiterminal Josephson junctions: Chern numbers, conductances and supercurrents
• Weyl Josephson Circuits
• Non-local Andreev transport through an interacting quantum dot
• Anomalous Topological Pumps and Fractional Josephson Effects
• Second Chern Number and Non-Abelian Berry Phase in Topological Superconducting Systems
• Versatile tuning of Kerr soliton microcombs in crystalline microresonators
• Andreev Transport through Side-Coupled Double Quantum Dots
• Phase-engineering the Andreev band structure of a three-terminal Josephson junction
• Majorana-Weyl crossings in topological multi-terminal junctions
• Non-Equilibrium Josephson and Andreev Current through Interacting Quantum Dots
• Josephson junctions of multiple superconducting wires
• Ground-state quantum geometry in superconductor-quantum dot chains
• Topological phase diagram of a three-terminal Josephson junction: From the conventional to the Majorana regime
• Topological supercurrents interaction and fluctuations in the multiterminal Josephson effect
• Correlated electron transport through double quantum dots coupled to normal and superconducting leads
• Non-Hermitian Fermi-Dirac Distribution in Persistent Current Transport
• Restoring Adiabatic State Transfer in Time-Modulated Non-Hermitian Systems
• Non-equilibrium supercurrent through a quantum dot: current harmonics and proximity effect due to a normal metal lead
• Transconductance quantization in a topological Josephson tunnel junction circuit
• Fractional charges in conventional sequential electron tunneling
• Spectral and transport properties of a half-filled Anderson impurity coupled to phase-biased superconducting and metallic leads
• Non-Hermitian phase-biased Josephson junctions
• Cooper-pair transistor as a minimal topological quantum circuit
• Multi-terminal Josephson junctions: a road to topological flux networks
• Bulk Bogoliubov Fermi arcs in non-Hermitian superconducting systems
• Suppressing Andreev bound state zero bias peaks using a strongly dissipative lead
• Josephson effect in a junction coupled to an electron reservoir
• Universal conductance scaling of Andreev reflections using a dissipative probe
• Non-Abelian monopoles in the multiterminal Josephson effect
• Anomalous Andreev Spectrum and Transport in Non-Hermitian Josephson Junctions
• Non-Hermitian multiterminal phase-biased Josephson junctions
• Fractional Josephson effect versus fractional charge in superconducting-normal metal hybrid circuits
• Topological superconductivity enhanced by exceptional points
• Spin-degeneracy breaking and parity transitions in three-terminal Josephson junctions
• Weyl singularities in polaritonic multi-terminal Josephson junctions
• Weyl discs: theoretical prediction
• Full Counting Statistics of Yu-Shiba-Rusinov Bound States
• Photo-assisted spin transport in double quantum dots with spin-orbit interaction
• Ground state topology of a four-terminal superconducting double quantum dot
• Quartet Tomography in Multiterminal Josephson Junctions
• Holonomic quantum manipulation in the Weyl Disk

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• Exceptional Andreev spectrum and supercurrent in p-wave non-Hermitian Josephson junctions
• Non-Hermitian Josephson junctions with four Majorana zero modes
• Supercurrent from the imaginary part of the Andreev levels in non-Hermitian Josephson junctions
• Short-time behavior of a system ruled by non-Hermitian time-dependent Hamiltonians
• Breakdown of Non-Bloch Bulk-Boundary Correspondence and Emergent Topology in Floquet Non-Hermitian Systems
• Computation and Verification of Spectra for Non-Hermitian Systems
• Interacting many-body non-Hermitian systems as Markov chains