Cavity quantum electrodynamics with mesoscopic topological superconductors

Abstract

We study one-dimensional $p$-wave superconductors capacitively coupled to a microwave stripline cavity. By probing the light exiting from the cavity, one can reveal the electronic susceptibility of the $p$-wave superconductor. We analyze two superconducting systems: the prototypical Kitaev chain, and a topological semiconducting wire. For both systems, we show that the photonic measurements, via the electronic susceptibility, allows us to determine the topological phase transition point, the emergence of the Majorana fermions, and the parity of their ground state. We show that all these effects, which are absent in effective theories that take into account the coupling of light to Majorana fermions only, are due to the interplay between the Majorana fermions and the bulk states of the superconductors.

17 pages, 7 figures; New sections added, including the description of a realistic topological semiconductor wire

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Cited by in corpus (47)

• From Andreev to Majorana bound states in hybrid superconductor-semiconductor nanowires
• Many-Body Quantum Electrodynamics Networks: Non-Equilibrium Condensed Matter Physics with Light
• Metallization of Rashba wire by superconducting layer in the strong-proximity regime
• Majorana wavefunction oscillations, fermion parity switches, and disorder in Kitaev chains
• Signatures of topological Josephson junctions
• Cavity QED with hybrid nanocircuits: from atomic-like physics to condensed matter phenomena
• Topological Phase Detection in Rashba Nanowires with a Quantum Dot
• Majorana bound states in semiconducting nanostructures
• Cavity photons as a probe for charge relaxation resistance and photon emission in a quantum dot coupled to normal and superconducting continua
• Majorana Kramers pairs in Rashba double nanowires with interactions and disorder
• Direct cavity detection of Majorana pairs
• Suppression of the overlap between Majorana fermions by orbital magnetic effects in semiconducting-superconducting nanowires
• Photon assisted braiding of Majorana fermions in a cavity
• Parity-to-charge conversion for readout of topological Majorana qubits
• Rényi Entropy Singularities as Signatures of Topological Criticality in Coupled Photon-Fermion Systems
• Cavity squeezing by a quantum conductor
• Andreev spectrum with high spin-orbit interactions: revealing spin splitting and topologically protected crossings
• Proximity effect in a two-dimensional electron gas coupled to a thin superconducting layer
• Degeneracy lifting of Majorana bound states due to electron-phonon interactions
• Majorana Bound States in Double Nanowires with Reduced Zeeman Thresholds due to Supercurrents
• Majorana oscillations and parity crossings in semiconductor-nanowire-based transmon qubits
• Majorana Spin Liquids, Topology and Superconductivity in Ladders
• Josephson effect in topological superconducting rings coupled to a microwave cavity
• Cavity quantum electrodynamics with an out-of-equilibrium quantum dot
• Superconducting islands with semiconductor-nanowire-based topological Josephson junctions
• Universal two-time correlations, out-of-time-ordered correlators and Leggett-Garg inequality violation by edge Majorana fermion qubits
• Topology detection in cavity QED
• Bipartite charge fluctuations in one-dimensional ${\mathbb{Z}}_2$ superconductors and insulators
• Theory of interactions between cavity photons induced by a mesoscopic circuit
• Topological protection of Majorana polaritons in a cavity
• Microwave detection of gliding Majorana zero modes in nanowires
• Electron-photon interaction in a quantum point contact coupled to a microwave resonator
• Majorana signatures in charge transport through a topological superconducting double-island system
• From edge to bulk: Cavity induced displacement of topological non-local qubits
• Nonequilibrium Andreev bound states population in short superconducting junctions coupled to a resonator
• Theory of topological spin Josephson junctions
• Majorana-magnon interactions in topological Shiba chains
• Probing Majorana bound states via a pn-junction containing a quantum dot
• Transmission of a microwave cavity coupled to localized Shiba states
• Detection of Majorana zero modes bound to Josephson vortices in planar superconductor-topological insulator-superconductor junctions
• Topological Josephson Bifurcation Amplifier: Semiclassical theory
• Photonic cross-noise spectroscopy of Majorana bound states
• A Model for Topological p-wave Superconducting Wires with Disorder and Interactions
• Dynamics of a Majorana trijunction in a microwave cavity
• Microwave signatures of ${\mathbb{Z}}_2$ and ${\mathbb{Z}}_4$ fractional Josephson effects
• Distinguishing Majorana bound states from accidental zero-energy modes with a microwave cavity
• Electromagnetic response of the surface states of a topological insulator nanowire embedded within a resonator