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

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.

Main text: 12 pages, 9 figures

References in corpus (14)

• The density-matrix renormalization group in the age of matrix product states
• Probing many-body dynamics on a 51-atom quantum simulator
• Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
• Topological quantum matter in synthetic dimensions
• Cavity Quantum Materials
• Probing topological quantum matter with scanning tunnelling microscopy
• Noise-resilient Edge Modes on a Chain of Superconducting Qubits
• Single-step implementation of a hybrid controlled-NOT gate with one superconducting qubit simultaneously controlling multiple target cat-state qubits
• Topology detection in cavity QED
• Critical light-matter entanglement at cavity mediated phase transition
• Accessing the degree of Majorana nonlocality in a quantum dot-optical microcavity system
• Exactly solving the Kitaev chain and generating Majorana-zero-modes out of noisy qubits
• The quantum transverse-field Ising chain in circuit QED: effects of disorder on the nonequilibrium dynamics
• Unveiling non-Abelian statistics of vortex Majorana bound states in iron-based superconductors using fermionic modes

Cited by in corpus (6)

• Cavity engineering of solid-state materials without external driving
• Electron conductance and many-body marker of a cavity-embedded topological 1D chain
• Cavity-Vacuum-Induced Chiral Spin Liquids in Kagome Lattices: Tuning and Probing Topological Quantum Phases via Cavity Quantum Electrodynamics
• Cavity-modified quantum electron transport in multi-terminal devices and interferometers
• Circuit QED Spectra in the Ultrastrong Coupling Regime: How They Differ from Cavity QED
• Cavity Control of Topological Qubits: Fusion Rule, Anyon Braiding, and Majorana-Schrödinger Cat States