From edge to bulk: Cavity induced displacement of topological non-local qubits

TL;DR

This paper demonstrates how selective cavity coupling can move topological qubits within a chain, enabling dynamic control of non-local Majorana correlations and their photon signatures for quantum information applications.

Contribution

It introduces a method to relocate topological qubits from edge to bulk via cavity coupling and analyzes the resulting photon and Majorana correlation features.

Findings

Majorana qubits can be shifted within a chain using cavity interactions.

Cavity photon features encode non-local Majorana correlations.

Dynamic quench reveals measurable non-classical photon signatures.

Abstract

We investigate the ability of selective cavity coupling to a topological chain for tailoring the connectivity of Majorana fermions. We show how topological qubits (TQs), associated with non-local Majorana fermion pairing, can be moved from the edge to the bulk of a topological chain through selective access to light-matter interaction with specific physical sites. In particular, we present a comprehensive DMRG study of ground-state features in different chain-cavity coupling geometries and validate analytical insights in the strong coupling regime. This new kind of Majorana fermion correlation generation process comes with new cavity photon features. Moreover, by considering the time evolution after a sudden quench of the cavity-matter coupling strength, we show that the development of high non-trivial matter (Majorana) correlations leaves off measurable non-classical photon imprints in the cavity. New ways to dynamically generate TQ nonlocal correlations in topological chains of arbitrary length are thus provided, opening alternative routes to controllable long-range entanglement in hybrid photonic solid-state systems.