Microwave detection of gliding Majorana zero modes in nanowires

Abstract

We study a topological superconducting nanowire that hosts gliding Majorana zero modes in the presence of a microwave cavity field. We show that the cavity decay rate depends on both the parity encoded by the Majorana zero modes and their motion, in the absence of any direct overlap of their wavefunctions. That is because the extended bulk states that overlap with both Majorana states, facilitate their momentum-resolved microwave spectroscopy, with the gliding acting as to modify the interference pattern via a momentum boost. Moreover, we demonstrate that these non-local effects are robust against moderate disorder in the chemical potential, and confirm the numerical calculations with an analytical low-energy model. Our approach offers an alternative to tunneling spectroscopy to probe non-local features associated with the Majorana zero modes in nanowires.

13 pages, 8 figures; published version

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Cited by in corpus (7)

• Cavity-enhanced superconductivity via band engineering
• Topological protection of Majorana polaritons in a cavity
• Signatures of Kondo-Majorana interplay in ac response
• Light-matter correlations in Quantum Floquet engineering of cavity quantum materials
• Detection of Majorana zero modes bound to Josephson vortices in planar superconductor-topological insulator-superconductor junctions
• Excess photon-assisted noise of Majorana and Andreev bound states
• Distinguishing Majorana bound states from accidental zero-energy modes with a microwave cavity