Generalized Majorana edge modes in a number-conserving periodically driven $p$-wave superconductor

Abstract

We study an analytically solvable and experimentally relevant number-conserving periodically driven $p$-wave superconductor. Such a system is found to support generalized Majorana zero and $\pi$ modes which, despite being non-Hermitian, are still capable of encoding qubits. Moreover, appropriate winding numbers characterizing the topology of such generalized Majorana modes are defined and explicitly calculated. We further discuss the fate of the obtained generalized Majorana modes in the presence of finite charging energy. Finally, we shed light on the quantum computing prospects of such modes by demonstrating the robustness of their encoded qubits and explicitly braiding a pair of generalized Majorana modes.

16 pages, 5 figures. Published in PRB

References in corpus (34)

• Non-Abelian Anyons and Topological Quantum Computation
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• The Helical Liquid and the Edge of Quantum Spin Hall Systems
• Scaling of Majorana Zero-Bias Conductance Peaks
• Majorana qubit decoherence by quasiparticle poisoning
• Majorana box qubits
• Chiral symmetry and bulk--boundary correspondence in periodically driven one-dimensional systems
• Braiding without Braiding: Teleportation-Based Quantum Information Processing with Majorana Zero Modes
• Topological invariants and interacting one-dimensional fermionic systems
• Roadmap to Majorana surface codes
• Boundary Fidelity and Entanglement in the symmetry protected topological phase of the SSH model
• Many-body characterization of topological superconductivity: The Richardson-Gaudin-Kitaev chain
• Observation of pi/2 modes in an acoustic Floquet system
• Implementation of Clifford gates in the Ising-anyon topological quantum computer
• One-dimensional $2^n$-root topological insulators and superconductors
• Dynamical signatures of topological order in the driven-dissipative Kitaev chain
• Hierarchy of higher-order topological superconductors in three dimensions
• Detecting edge degeneracy in interacting topological insulators through entanglement entropy
• Systematic construction of square-root topological insulators and superconductors
• Performance of planar Floquet codes with Majorana-based qubits
• Non-Hermitian higher-order topological superconductors in two-dimension: statics and dynamics
• Floquet Second Order Topological Superconductor based on Unconventional Pairing
• Line nodes and surface Majorana flat bands in static and kicked p-wave superconducting Harper model
• Square-root Floquet topological phases and time crystals
• $Z_4$ parafermion $\pm \pi /2$ modes in interacting periodically driven superconducting chain
• Stability of Floquet Majorana box qubits
• Topological and dynamical features of periodically driven spin ladders
• Nonlocal discrete time crystals in periodically driven surface codes
• Generating many Majorana corner modes and multiple phase transitions in Floquet second-order topological superconductors
• Non-Hermiticity stabilized Majorana zero modes in semiconductor-superconductor nanowires
• Controlling Majorana modes by $p$-wave pairing in two-dimensional $p+id$ topological superconductors
• Topological $\pi$ modes and beyond

Cited by in corpus (2)

• Quantum-vacuum-protected topological edge polaritons
• Zero and Nonzero Energy Majorana Modes in an Extended Kitaev Chain