Unique Signatures of Topological Phases in Two-Dimensional THz Spectroscopy

Abstract

We develop a microscopic theory for the two-dimensional spectroscopy of one-dimensional topological superconductors. We consider a ring geometry as a realization of the Kitaev chain with periodic boundary conditions. We show numerically and analytically that the cross-peak structure of the 2D spectra carries unique signatures of the topological phases of the chain. Our work reveals how 2D spectroscopy can identify topological phases in bulk properties, bypassing energy-specific differences caused by topologically protected or trivial boundary modes that are otherwise hard to distinguish.

arXiv comment16 pages, 10 figures

References in corpus (21)

• Non-Abelian Anyons and Topological Quantum Computation
• Anyons in an exactly solved model and beyond
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Unpaired Majorana fermions in quantum wires
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• Periodic table for topological insulators and superconductors
• Non-Abelian statistics and topological quantum information processing in 1D wire networks
• Evidence for Majorana bound state in an iron-based superconductor
• Bulk-boundary correspondence of topological insulators from their Green's functions
• Single magnetic adsorbates on s-wave superconductors
• Non-Majorana states yield nearly quantized conductance in superconductor-semiconductor nanowire devices
• Evidence of topological Shiba bands in artificial spin chains on superconductors
• Resolving continua of fractional excitations by spinon echo in THz 2D coherent spectroscopy
• Topological States in a One-Dimensional Fermi Gas with Attractive Interactions
• Theory of two-dimensional nonlinear spectroscopy for the Kitaev spin liquid
• Spectroscopic fingerprints of gapped quantum spin liquids, both conventional and fractonic
• The fate of the Kondo cloud in a superconductor
• Optical Responses of Chiral Majorana Edge States in Two-Dimensional Topological Superconductors
• Direct and ultrafast probing of quantum many-body interaction and Mott-insulator transition through coherent two-dimensional spectroscopy

Cited by in corpus (3)

• Extracting spinon self-energies from two-dimensional coherent spectroscopy
• Two-dimensional coherent spectrum of interacting spinons from matrix-product states
• Probing Majorana wavefunctions in Kitaev honeycomb spin liquids with second-order two-dimensional spectroscopy