Proposal for the observation of nonlocal multipair production: the biSQUID

Abstract

We propose an all-superconducting three-terminal setup consisting in a carbon nanotube (or semiconducting nanowire) contacted to three superconducting leads. The resulting device, referred to as a "biSQUID", is made of four quantum dots arranged in two loops of different surface area. We show how this biSQUID can prove a useful tool to probe nonlocal quantum phenomena in an interferometry setup. We study the measured critical current as a function of the applied magnetic field, which shows peaks in its Fourier spectrum, providing clear signatures of multipair Josephson processes. The device does not require any specific fine-tuning as these features are observed for a wide range of microscopic parameters -- albeit with a non-trivial dependence. Competing effects which may play a significant role in actual experimental realizations are also explored.

arXiv comment13 pages, 9 figures

References in corpus (23)

• Andreev-Tunneling, Coulomb Blockade, and Resonant Transport of Non-Local Spin-Entangled Electrons
• Carbon Nanotubes as Cooper Pair Beam Splitters
• Electronic Entanglement in the Vicinity of a Superconductor
• Orbital entanglement and violation of Bell inequalities in mesoscopic conductors
• Probing Spatial Correlations with Nanoscale Two-Contact Tunneling
• Near-unity Cooper pair splitting efficiency
• Finite bias Cooper pair splitting
• Four-point resistance of individual single-wall carbon nanotubes
• Gate-Defined Quantum Dots on Carbon Nanotubes
• Production of non-local quartets and phase-sensitive entanglement in a superconducting beam splitter
• Current and noise correlations in a double dot Cooper pair beam splitter
• Sub-Gap Structure in the Conductance of a Three-Terminal Josephson Junction
• Microscopic theory of Cooper pair beam splitters based on carbon nanotubes
• Current correlations in the interacting Cooper-pair beam-splitter
• Multipair DC-Josephson Resonances in a biased all-superconducting Bijunction
• Voltage-induced Shapiro steps in a superconducting multi-terminal structure
• Conserved spin and orbital phase along carbon nanotubes connected with multiple ferromagnetic contacts
• Superconducting crossed correlations in ferromagnets: implications for thermodynamics and quantum transport
• Multiple Andreev reflections in hybrid multiterminal junctions
• Noise Correlations in Three-Terminal Diffusive Superconductor-Normal Metal-Superconductor Nanostructures
• Balanced double-loop mesoscopic interferometer based on Josephson proximity nanojunctions
• Large oscillating non-local voltage in multi-terminal single wall carbon nanotube devices
• Synchronized Andreev Transmission in SNS Junction Arrays

Cited by in corpus (12)

• The $\omega$-SQUIPT: phase-engineering of Josephson topological materials
• Closing the proximity gap in a metallic Josephson junction between three superconductors
• Simple Floquet-Wannier-Stark-Andreev viewpoint and emergence of low-energy scales in a voltage-biased three-terminal Josephson junction
• Engineering the Floquet spectrum of superconducting multiterminal quantum dots
• Inversion in a four terminal superconducting device on the quartet line: II. Quantum dot and Floquet theory
• Inversion in a four-terminal superconducting device on the quartet line: I. Two-dimensional metal and the quartet beam splitter
• A quantum interferometer for quartets in superconducting three-terminal Josephson junctions
• Quartets and the Current-Phase Structure of a Double Quantum Dot Superconducting Bijunction at Equilibrium
• Theory of non-equilibrium noise in general multi-terminal superconducting hydrid devices: application to multiple Cooper pair resonances
• Cooper pair splitting in a nanoSQUID geometry at high transparency
• Quartet Tomography in Multiterminal Josephson Junctions
• Revisiting the adiabatic limit in ballistic multiterminal Josephson junctions