Fine energy splitting of overlapping Andreev bound states in multi-terminal superconducting nanostructures

Abstract

The recent proposals of experiments with single Andreev bound states make relevant a detailed analysis of these states in multi-terminal superconducting nanostructures. We evaluate the energy splitting of degenerate Andreev bound states, that overlap in a superconducting lead, and find that the splitting is reduced in comparison with their energy by a small factor $\sqrt{R{G}_Q}$, $R{G}_Q$ being the dimensionless resistance of the overlap region in the normal state. This permits quantum manipulation of the quasiparticles in these states. We provide a simple scheme of such manipulation.

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Cited by in corpus (40)

• The multi-terminal Josephson effect
• Phase-engineering the Andreev band structure of a three-terminal Josephson junction
• Josephson diode effect derived from short-range coherent coupling
• Observation of nonlocal Josephson effect on double InAs nanowires
• Josephson Diode Effect in Andreev Molecules
• Demonstration of nonlocal Josephson effect in Andreev molecules
• Phase-dependent Andreev molecules and superconducting gap closing in coherently coupled Josephson junctions
• Overlapping Andreev states in semiconducting nanowires: competition of 1D and 3D propagation
• Control of Andreev bound states using superconducting phase texture
• Engineering of anomalous Josephson effect in coherently coupled Josephson junctions
• Large spatial extension of the zero-energy Yu-Shiba-Rusinov state in magnetic field
• High-fidelity two-qubit gates of hybrid superconducting-semiconducting singlet-triplet qubits
• Scattering description of Andreev molecules
• Coupled superconducting spin qubits with spin-orbit interaction
• Non-Abelian monopoles in the multiterminal Josephson effect
• A quantum interferometer for quartets in superconducting three-terminal Josephson junctions
• Strong nonlocal tuning of the current-phase relation of a quantum dot based Andreev molecule
• Ultralong-distance quantum correlations in three-terminal Josephson junctions
• Andreev bound states in junctions formed by conventional and $\mathcal{P}\mathcal{T}$-symmetric non-Hermitian superconductors
• Spin-degeneracy breaking and parity transitions in three-terminal Josephson junctions
• Controllable odd-frequency Cooper pairs in multi-superconductor Josephson junctions
• Proposal for detecting the $\pi -$shifted Cooper quartet supercurrent
• On-off switch and sign change for non-local Josephson diode in spin-valve Andreev molecules
• Probing Majorana bound states through an inhomogeneous Andreev double dot interferometer
• Quartet Tomography in Multiterminal Josephson Junctions
• Weak localization corrections to the thermal conductivity in $s$-wave superconductors
• Proposal for a nonadiabatic geometric gate with an Andreev spin qubit
• Superconductor/normal-metal/superconductor junction of topological superconductors revisited: Fractional Josephson current, fermion parity, and oscillating wavefunctions
• Non-local Andreev reflection through Andreev molecular states in graphene Josephson junctions
• Long-range coupling between superconducting dots induced by periodic driving
• Josephson junctions based on ultraclean carbon nanotubes
• Magnetointerferometry of multiterminal Josephson junctions
• Exploring the energy spectrum of a four-terminal Josephson junction: Towards topological Andreev band structures
• Fermionic Quantum Simulation on Andreev Bound State Superlattices
• Ballistic Andreev interferometers
• Nonlocal Josephson diode effect in minimal Kitaev chains
• Superconducting Diode Effect in Double Quantum Dot Device
• Cooling of electrons via superconducting tunnel junctions and their arrays exhibiting nodal lines
• Revisiting the adiabatic limit in ballistic multiterminal Josephson junctions
• Andreev molecules at distance