Cooper quartets in interacting hybrid superconducting systems

Abstract

Cooper quartets represent exotic fermion aggregates describing correlated matter at the basis of charge-$4e$ superconductivity and offer a platform for studying four-body interactions, of interest for topologically protected quantum computing, nuclear matter simulations, and more general strongly correlated matter. Focusing on solid-state systems, we show how to quantum design Cooper quartets in a double-dot system coupled to ordinary superconducting leads through the introduction of an attractive interdot interaction. A fundamentally novel, maximally correlated double-dot ground state, in the form of a superposition of vacuum $|0⟩$ and four-electron state $|4e⟩$, emerges as a narrow resonance in a many-body quartet correlator that is accompanied by negligible pair correlations and features a rich phenomenology. The system represents an instance of correlated Andreev matter and the results open the way to the exploration of interaction effects in hybrid superconducting devices, and the study of novel correlated states of matter with ingredients available in a quantum solid-state laboratory.

arXiv comment6 pages, 4 figures

References in corpus (63)

• Fault-tolerant quantum computation by anyons
• Quantum Simulation
• Simulated Quantum Computation of Molecular Energies
• Coupling of two superconductors through a ferromagnet : evidence for a pi-junction
• Nematic order in iron superconductors - who is in the driver's seat?
• Theory of Intertwined Orders in High Temperature Superconductors
• Simulation of Many-Body Fermi Systems on a Universal Quantum Computer
• Roton pair density wave and unconventional strong-coupling superconductivity in a topological kagome metal
• Ultrasensitive force detection with a nanotube mechanical resonator
• Carbon Nanotubes as Cooper Pair Beam Splitters
• A superconductor to superfluid phase transition in liquid metallic hydrogen
• Two-Dimensional Superconducting Fluctuations in Stripe-Ordered La(1.875)Ba(0.125)CuO(4)
• Spin-Rotation Symmetry Breaking in the Superconducting State of CuxBi2Se3
• Josephson ${\phi }_0$-junction in nanowire quantum dots
• Charge $4e$ superconductivity from pair density wave order in certain high temperature superconductors
• Four-particle condensate in strongly coupled fermion systems
• Complex charge density waves at Van Hove singularity on hexagonal lattices: Haldane-model phase diagram and potential realization in kagome metals ${\text{AV}}_3{\text{Sb}}_5$
• Multi-terminal Josephson junctions as topological materials
• Topologically protected quantum bits from Josephson junction arrays
• Protected gates for superconducting qubits
• Alpha-particle condensation in 16O via a full four-body OCM calculation
• Protected Qubits and Chern Simons theories in Josephson Junction Arrays
• Pairing of Cooper Pairs in a Fully Frustrated Josephson Junction Chain
• Competing orders in one dimensional spin 3/2 fermionic systems
• Quantum simulation of a system with competing two- and three-body interactions
• Possible realization of an ideal quantum computer in Josephson junction array
• Observation of Four-body Ring-exchange Interactions and Anyonic Fractional Statistics
• Chern Fermi pocket, topological pair density wave, and charge-4e and charge-6e superconductivity in kagome superconductors
• Electron Attraction Mediated by Coulomb Repulsion
• Photon mediated interaction between distant quantum dot circuits
• Quartic metal: Spontaneous breaking of time-reversal symmetry due to four-fermion correlations in Ba${}_{1-x}$K${}_x$Fe${}_2$As${}_2$
• The multi-terminal Josephson effect
• Gate-Defined Quantum Dots on Carbon Nanotubes
• Phase transitions in a three dimensional $U(1)\times U(1)$ lattice London superconductor: Metallic superfluid and charge-4e superconducting states
• Production of non-local quartets and phase-sensitive entanglement in a superconducting beam splitter
• Topological order in the insulating Josephson junction array
• Non-local Supercurrent of Quartets in a Three-Terminal Josephson Junction
• Charge-$4e$ superconductivity from multi-component nematic pairing: Application to twisted bilayer graphene
• Large-scale Ising Emulation with Four-Body Interaction and All-to-All Connection
• Phase-engineering the Andreev band structure of a three-terminal Josephson junction
• Charge-$4e$ superconductivity from nematic superconductors in 2D and 3D
• Multipair DC-Josephson Resonances in a biased all-superconducting Bijunction
• Voltage-induced Shapiro steps in a superconducting multi-terminal structure
• Three and Four-Body Interactions in Spin-Based Quantum Computers
• Observation of nonlocal Josephson effect on double InAs nanowires
• Synthesizing five-body interaction in a superconducting quantum circuit
• Small Fermi pockets intertwined with charge stripes and pair density wave order in a kagome superconductor
• Theory of 4e versus 2e supercurrent in frustrated Josepshon-junction rhombi chain
• Charge-4e supercurrent in a two-dimensional InAs-Al superconductor-semiconductor heterostructure
• Charge 4e superconductivity and chiral metal in the $45^{\circ }$-twisted bilayer cuprates and similar bilayers
• Multiplet supercurrent in Josephson tunneling circuits
• 4e-condensation in a fully frustrated Josephson junction diamond chain
• Calorimetric evidence for two phase transitions in Ba${}_{1-\mathrm{x}}$K${}_{\mathrm{x}}$Fe${}_2$As${}_2$ with fermion pairing and quadrupling states
• Prediction of time-reversal-symmetry breaking fermionic quadrupling condensate in twisted bilayer graphene
• Ultrastrong coupling between electron tunneling and mechanical motion
• Effects of intercomponent couplings on the appearance of time-reversal symmetry breaking fermion quadrupling state in two-component London models
• Quartets and the Current-Phase Structure of a Double Quantum Dot Superconducting Bijunction at Equilibrium
• Charge-4$e$ Superconductivity in a Hubbard model
• Non-degenerate surface pair density wave in the Kagome superconductor CsV${}_3$Sb${}_5$ -- application to vestigial orders
• Hidden symmetry in interacting-quantum-dot-based multi-terminal Josephson junctions
• Ground state topology of a four-terminal superconducting double quantum dot
• Quartet Tomography in Multiterminal Josephson Junctions
• Alpha-Particle condensation in nuclear systems: present status and perspectives

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