Photon assisted braiding of Majorana fermions in a cavity

Abstract

We study the dynamical process of braiding Majorana bound states in the presence of the coupling to photons in a microwave cavity. We show theoretically that the $\pi /4$ phase associated with the braiding of Majoranas, as well as the parity of the ground state are imprinted into the photonic field of the cavity, which can be detected by dispersive readouts techniques. These manifestations are purely dynamical, they occur in the absence of any splitting of the MBS that are exchanged, and they disappear in the static setups studied previously. Conversely, the cavity can affect the braiding phase, which in turn should allow for cavity controlled braiding.

4.5 pages+7 pages supplementary material, 4 figures

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• Boundary Green's function approach for spinful single-channel and multichannel Majorana nanowires
• Optimizing the transport of Majorana zero modes in one-dimensional topological superconductors
• Influence of long-range interaction on Majorana zero modes
• Parafermions in a multilegged geometry: Towards a scalable parafermionic network
• Microwave detection of gliding Majorana zero modes in nanowires
• Role of Bath-Induced Many-Body Interactions in the Dissipative Phases of the Su-Schrieffer-Heeger Model
• From edge to bulk: Cavity induced displacement of topological non-local qubits
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• Quantum-correlated photons generated by nonlocal electron transport
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• Photonic cross-noise spectroscopy of Majorana bound states
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• Unified model for non-Abelian braiding of Majorana and Dirac fermion zero modes
• Dynamics of a Majorana trijunction in a microwave cavity
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• Distinguishing Majorana bound states from accidental zero-energy modes with a microwave cavity
• Identification of the Majorana edge modes in tight-binding systems based on the Krylov method
• Cavity Control of Topological Qubits: Fusion Rule, Anyon Braiding, and Majorana-Schrödinger Cat States
• Superconducting magnetoelectric effects in mesoscopic hybrid structures