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Probing Majorana localization of a phase-controlled three-site Kitaev chain with an additional quantum dot
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Probing Majorana localization of a phase-controlled three-site Kitaev chain with an additional quantum dot
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Few-site implementations of the Kitaev chain offer a minimal platform to study the emergence and stability of Majorana bound states. Here, we realize two- and three-site chains in semiconducting quantum dots coupled via superconductors, and tune them to the sweet spot where zero-energy Majorana modes appear at the chain ends. We demonstrate control of the superconducting phase through both magnetic field and sweet-spot selection, and fully characterize the excitation spectrum under local and global perturbations. All spectral features are identified using the ideal Kitaev chain model. To assess Majorana localization, we couple the system to an additional quantum dot. The absence of energy splitting at the sweet spot confirms the high quality of the Majorana modes, despite the minimal size of the chains.
Forward citations
Cited by 5 Pith papers
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Optimal Majoranas in Mesoscopic Kitaev Chains
Microscopic treatment of the hybrid segment in mesoscopic Kitaev chains shows that Andreev bound state parity crossings define optimal sweet spots for localized Majoranas with large gaps.
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Optimal Majoranas in Mesoscopic Kitaev Chains
For quantum-dot Kitaev chains, the optimal Majorana sweet-spot—well-localized Majoranas together with a large excitation gap—occurs at the parity-crossing of the spin-split Andreev bound state in the mesoscopic superc...
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Quantum capacitance and parity switching of a quantum-dot-based Kitaev chain
Quantum capacitance diagrams in a quantum-dot Kitaev chain identify the sweet spot for Majorana modes and reveal distinct parity switches from lead coupling versus quasiparticle poisoning.
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Machine-learned tuning to protected states by probing noise resilience
Minimizing the average ground-state splitting under injected random noise tunes short quantum-dot Kitaev chains to Majorana sweet spots.
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Quantifying robustness and locality of Majorana bound states in interacting systems
In interacting systems, the locality of ground-state Majorana operators, measured by fermionic partial traces, rigorously bounds how much an environment can split the ground-state degeneracy.
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