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.

arXiv commentMain text: 12 pages, 9 figures

References in corpus (44)

• Unpaired Majorana fermions in quantum wires
• The density-matrix renormalization group in the age of matrix product states
• Probing many-body dynamics on a 51-atom quantum simulator
• Superconducting Qubits: Current State of Play
• Ultrastrong coupling between light and matter
• Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
• Superconducting qubit-oscillator circuit beyond the ultrastrong-coupling regime
• Topological Phases of One-Dimensional Fermions: An Entanglement Point of View
• Tensor networks for complex quantum systems
• Efficient numerical simulations with Tensor Networks: Tensor Network Python (TeNPy)
• Imaging with quantum states of light
• Topological quantum matter in synthetic dimensions
• Superconducting Quantum Computing: A Review
• Cavity Quantum Materials
• A Short Introduction to Topological Quantum Computation
• Probing topological quantum matter with scanning tunnelling microscopy
• Noise-resilient Edge Modes on a Chain of Superconducting Qubits
• Resonantly Tunable Majorana Polariton in a Microwave Cavity
• A geometric protocol for a robust Majorana magic gate
• Gauge Fixing for Strongly Correlated Electrons coupled to Quantum Light
• Phase transitions in an Ising chain interacting with a single mode cavity field
• Quantum phases in circuit QED with a superconducting qubit array
• Cavity quantum electrodynamics with mesoscopic topological superconductors
• Exact eigenvectors and eigenvalues of the finite Kitaev chain and its topological properties
• Emulating quantum teleportation of a Majorana zero mode qubit
• Topological phases of quantized light
• Cavity photons as a probe for charge relaxation resistance and photon emission in a quantum dot coupled to normal and superconducting continua
• The Tensor Network Theory Library
• Coherent Control of a Superconducting Qubit with Dynamically Tunable Qubit-cavity Coupling
• Photon assisted braiding of Majorana fermions in a cavity
• Rényi Entropy Singularities as Signatures of Topological Criticality in Coupled Photon-Fermion Systems
• Detecting Majorana fermions in quasi-one-dimensional topological phases using nonlocal order parameters
• Cavity quantum electrodynamics with an out-of-equilibrium quantum dot
• Single-step implementation of a hybrid controlled-NOT gate with one superconducting qubit simultaneously controlling multiple target cat-state qubits
• Universal two-time correlations, out-of-time-ordered correlators and Leggett-Garg inequality violation by edge Majorana fermion qubits
• Critical light-matter entanglement at cavity mediated phase transition
• Majorana Qubit Readout Using Longitudinal Qubit-Resonator Interaction
• Topology detection in cavity QED
• 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
• End-to-end correlations in the Kitaev chain
• Unveiling non-Abelian statistics of vortex Majorana bound states in iron-based superconductors using fermionic modes
• Spatiotemporal Evolution of Topological Order Upon Quantum Quench Across the Critical Point

Cited by in corpus (8)

• Cavity engineering of solid-state materials without external driving
• Chapter: Vulnerability of Quantum Information Systems to Collective Manipulation
• 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
• Energy transfer in $N$-component nanosystems enhanced by pulse-driven vibronic many-body entanglement
• 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