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arXiv · 2605.04384

Kitaev chain in synthetic dimension with cavity-controlled Majorana modes

Adel Ali·Alexey Belyanin
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Abstract

We introduce a tunable synthetic-dimension platform for realizing Kitaev-chain physics with high degree of control over Majorana zero modes. It is based on a generic Landau-quantized two dimensional electron system coupled to the magnetic flux of a superconducting LC circuit. The structured vector potential of a superconducting LC inductor induces attractive interactions between electron angular-momentum states at the lowest Landau level. These states serve as a synthetic dimension for the coveted fermionic Kitaev chain, with Majorana zero modes existing at the boundaries of the angular-momentum lattice. The crucial advantage of this proposal is the possibility of a robust, nonlocal readout and control of the Majorana states by a LC resonator. The platform relies on mature circuit QED and semiconductor technologies and provides a promising pathway to topological quantum computing.

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Adel Ali, Alexey Belyanin. 2026-05-06. Kitaev chain in synthetic dimension with cavity-controlled Majorana modes. https://arxiv.org/abs/2605.04384

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