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A flux-controlled two-site Kitaev chain (2501.15912v1)

Published 27 Jan 2025 in cond-mat.mes-hall and cond-mat.supr-con

Abstract: In semiconducting-superconducting hybrid devices, Andreev bound states (ABSs) can mediate the coupling between quantum dots (QDs), allowing for the realisation of artificial Kitaev chains. In order to engineer Majorana bound states (MBSs) in these systems, one must control the energy of the ABSs. In this work, we show how extended ABSs in a flux tunable Josephson junction can be used to control the coupling between distant quantum dots separated by $\approx$ 1 $\mathrm{\mu}$m. In particular, we demonstrate that the combination of electrostatic control and phase control over the ABSs significantly increases the parameter space in which MBSs are observed. Finally, by employing an additional spectroscopic probe in the hybrid region between the QDs, we gain information about the spatial distribution of the Majorana wave function in a two-site Kitaev chain.

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Summary

  • The paper demonstrates flux-controlled manipulation in a two-site Kitaev chain to realize 'poor man's Majoranas' through tailored quantum dot coupling.
  • It employs a hybrid InSbAs 2DEG with an epitaxial aluminum layer and a superconducting loop configuration to finely tune Andreev bound states.
  • A novel spectroscopic probe maps extended PMM wave functions, providing actionable insights for scalable, adaptive quantum circuitry.

Overview of "A Flux-Controlled Two-Site Kitaev Chain"

The paper "A Flux-Controlled Two-Site Kitaev Chain" explores the implementation and control of a Kitaev chain utilizing quantum dot (QD) systems in semiconducting-superconducting hybrid environments. This research addresses the experimental realization of Majorana bound states (MBSs) in a simplified two-site architecture, highlighting the use of flux-controlled Josephson junctions to achieve advanced manipulation of Andreev bound states (ABSs) for practical coupling of quantum dots.

Device Characterization and Methods

The authors utilize an InSbAs two-dimensional electron gas (2DEG) system with an epitaxial aluminum layer, forming a hybrid platform suitable for superconductivity and effective quantum confinement. The device architecture strategically employs superconducting electrodes within a loop configuration to control the phase difference via a perpendicular magnetic field, enabling precise tuning of the QD coupling mediated by ABSs.

Key Features:

  • Extended ABSs: The research demonstrates how extended ABSs across a \qty{700}{\nano \meter} hybrid segment effectively bridge quantum dots separated by approximately \qty{1}{\micro \meter}, preserving strong coupling interactions.
  • Flux Control: The innovative use of flux control to manipulate SC phase differences complements existing electrostatic techniques for adjusting ABS properties, providing comprehensive control over ECT (elastic co-tunneling) and CAR (crossed Andreev reflection) processes.

Investigations and Results

The primary goal was to observe and control "poor man's Majoranas" (PMMs), which, while not topologically protected, manifest key properties of MBSs. The researchers characterized coupling behaviors between QDs via charge stability diagrams, determining the conditions under which equal partitioning of spin-conserving and spin-non-conserving interactions ($\Gamma_{\mathrm{e} = \Gamma_{\mathrm{o}}$) indicate PMM sweet spots.

Significant Observations:

  • Phase and Gate Modulation: Distinctly, by varying ABS chemical potential and phase difference, the PMM sweet spot can be continuously navigated, broadening the parameter space and enhancing the viability of practical implementations.
  • Spectroscopic probe: An innovative inclusion of a third spectroscopic probe provided insight into the spatial distribution of PMM wave functions; evidence suggests incomplete localization, occupying regions within the ABS segment.

Implications for Future Research

This paper elucidates the potential of utilizing flux-controlled configurations for advanced quantum information applications, particularly in constructing scalable superconducting networks and developing spin-qubit interactions at nanoscales. The ability to manipulate PMM-generating parameters continuously strengthens the feasibility of modular and adaptive quantum circuitry.

Directions for Further Study:

  • Further integration of direct flux lines could provide refined control of the QD coupling independent of gate voltage adjustments, potentially enhancing device stability.
  • Investigating multiple eigenstates within the proximitized region and their effect on ECT/CAR dynamics could inform refinements for state-specific manipulation.

In summary, this paper extends the toolset for engineering MBS systems within hybrid semiconductor-superconductor devices, offering crucial insights into long-range electron coupling and state manipulation essential for robust quantum computing architectures.