Kitaev chain in synthetic dimension with cavity-controlled Majorana modes

TL;DR

This paper proposes a tunable synthetic-dimension platform using a Landau-quantized electron system coupled to a superconducting circuit to realize Kitaev-chain physics with controllable Majorana zero modes, enabling potential topological quantum computing.

Contribution

It introduces a novel platform combining circuit QED and semiconductor technologies to realize and control Majorana modes in a synthetic dimension.

Findings

Majorana zero modes can be realized at the boundaries of the angular-momentum lattice.

The platform allows robust, nonlocal readout and control of Majorana states.

It provides a promising pathway for topological quantum computing.

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.