Josephson radiation patterns in underdamped topological Josephson junctions

Abstract

Josephson radiation is a useful signature for detecting Majorana zero modes in topological superconductors. We study the Josephson radiation of the underdamped topological Josephson junction within the quantum resistively and capacitively shunted junction model. We show that the quantum dynamics of the Majorana two-level system induce oscillatory patterns in the Josephson emission spectra. With the Floquet method, we obtain analytical results for these oscillatory patterns and find that they are well described by Bessel functions. We perform numerical simulations to verify the analytical results and demonstrate that these Bessel radiation patterns exist for a wide range of junction parameters.

arXiv commentAccepted for publication as a Regular Article in Physical Review B

References in corpus (44)

• Fault-tolerant quantum computation by anyons
• Unpaired Majorana fermions in quantum wires
• New directions in the pursuit of Majorana fermions in solid state systems
• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• Topological superconductors: a review
• Observation of the fractional ac Josephson effect: the signature of Majorana particles
• Josephson Current and Noise at a Superconductor-Quantum Spin Hall Insulator-Superconductor Junction
• Realizing Majorana zero modes in superconductor-semiconductor heterostructures
• Landau-Zener-Stuckelberg interferometry
• $4\pi$-periodic Josephson supercurrent in HgTe-based topological Josephson junctions
• Fractional ac Josephson effect in p- and d-wave superconductors
• Topological Superconductivity in a Phase-Controlled Josephson Junction
• Helical Topological Edge States in a Quadrupole Phase
• Josephson radiation from gapless Andreev bound states in HgTe-based topological junctions
• Dynamical detection of Majorana fermions in current-biased nanowires
• Observation of the 4$\pi$-periodic Josephson effect in indium arsenide nanowires
• Majorana splitting from critical currents in Josephson junctions
• Dynamics of Majorana States in a Topological Josephson Junction
• Multiple Andreev reflection and critical current in topological superconducting nanowire junctions
• Anomalous Josephson current via Majorana bound states in topological insulators
• Josephson supercurrent through the topological surface states of strained bulk HgTe
• Josephson junction dynamics in the presence of $2\pi$- and $4\pi$-periodic supercurrents
• Parity measurement in topological Josephson junctions
• Fractional Josephson Vortices and Braiding of Majorana Zero Modes in Planar Superconductor-Semiconductor Heterostructures
• Fingerprint of topological Andreev bound states in phase-dependent heat transport
• Signatures of a 4$\pi$-periodic supercurrent in the voltage response of capacitively shunted topological Josephson junctions
• Higher-order topology in monolayer graphene
• Detecting topological superconductivity using low-frequency doubled Shapiro steps
• Parity anomaly and spin transmutation in quantum spin Hall Josephson junctions
• Microwave signature of robust topological Andreev-level crossings in superconducting proximitized crystalline Bi nanowires
• Quench Dynamics of Josephson Current in a Topological Josephson Junction
• Coulomb blockade of a nearly-open Majorana island
• Hysteresis from nonlinear dynamics of Majorana modes in topological Josephson junctions
• Dissipation in a topological Josephson junction
• Quasiparticle poisoning effects on the dynamics of topological Josephson junctions
• New types of topological superconductors under local magnetic symmetries
• Anomalous modulation of Josephson radiation in nanowire-based Josephson junctions
• Manipulating the Majorana Qubit with the Landau-Zener-Stückelberg Interference
• Voltage staircase in a current-biased quantum-dot Josephson junction
• Majorana-induced DC Shapiro steps in topological Josephson junctions
• Majorana signatures in charge transport through a topological superconducting double-island system
• Josephson radiation from nonlinear dynamics of Majorana zero modes
• Critical current for an insulating regime of an underdamped current-biased topological Josephson junction
• Topological superconducting domain walls in magnetic Weyl semimetals