Signatures of fractional statistics in nonlinear pump-probe spectroscopy

Abstract

We show that the presence of anyons in the excitation spectrum of a two-dimensional system can be inferred from nonlinear spectroscopic quantities. In particular, we consider pump-probe spectroscopy, where a sample is irradiated by two light pulses with an adjustable time delay between them. The relevant response coefficient exhibits a universal form that originates from the statistical phase acquired when anyons created by the first pulse braid around those created by the second. This behaviour is shown to be qualitatively unchanged by non-universal physics including non-statistical interactions and small nonzero temperatures. In magnetic systems, the signal of interest can be measured using currently available terahertz-domain probes, highlighting the potential usefulness of nonlinear spectroscopic techniques in the search for quantum spin liquids.

arXiv comment6 pages, 1 figure. Longer companion paper published separately as Phys. Rev. B 109, 075108

References in corpus (36)

• Fault-tolerant quantum computation by anyons
• Non-Abelian Anyons and Topological Quantum Computation
• Fractionalized excitations in the spin liquid state of a kagomé lattice antiferromagnet
• Quantum Spin Liquids
• Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
• Observation of the e/3 Fractionally Charged Laughlin Quasiparticles
• Neutron tomography of magnetic Majorana fermions in a proximate quantum spin liquid
• A Field Guide to Spin Liquids
• Direct observation of anyonic braiding statistics at the $\nu$=1/3 fractional quantum Hall state
• Fractional statistics in anyon collisions
• Evidence for a Field-induced Quantum Spin Liquid in $\alpha$-RuCl${}_3$
• Dynamics of a two-dimensional quantum spin liquid: signatures of emergent Majorana fermions and fluxes
• Excitations in the field-induced quantum spin liquid state of alpha-RuCl3
• Spin-orbit excitation energies, anisotropic exchange, and magnetic phases of honeycomb RuCl3
• Phase Diagram of $\alpha$-RuCl${}_3$ in an in-plane Magnetic Field
• From high temperature supercondutivity to quantum spin liquid: progress in strong correlation physics
• Two-dimensional terahertz magnetic resonance spectroscopy of collective spin waves
• Raman Scattering Signatures of Kitaev Spin Liquids in A${}_2$ IrO${}_3$ Iridates
• Theory of the Fabry-Perot Quantum Hall Interferometer
• Dynamics of Fractionalization in Quantum Spin Liquids
• Low temperature relaxational dynamics of the Ising chain in a transverse field
• Partition noise and statistics in the fractional quantum Hall effect
• Topological excitations and the dynamic structure factor of spin liquids on the kagome lattice
• Signatures of fractional statistics in noise experiments in quantum Hall fluids
• Current Correlations from a Mesoscopic Anyon Collider
• Physical states and finite-size effects in Kitaev's honeycomb model: Bond disorder, spin excitations, and NMR lineshape
• Nonlinear magnetization dynamics of antiferromagnetic spin resonance induced by intense terahertz magnetic field
• Dynamics and transport of the Z_2 spin liquid: application to kappa-(ET)2Cu2(CN)3
• Unveiling Magnetic Interactions of Ruthenium Trichloride via Constraining Direction of Orbital moments: Potential Routes to Realize Quantum Spin Liquid
• Hanbury-Brown and Twiss interference of anyons
• Statistics of fractionalized excitations through threshold spectroscopy
• How to detect weak emergent broken-symmetries of the Kagome antiferromagnet from Raman spectroscopy
• Spectroscopy of spinons in Coulomb quantum spin liquids
• Spectroscopy of a topological phase
• Divergent nonlinear response from quasiparticle interactions
• Anomalous thermal relaxation and pump-probe spectroscopy of 2D topologically ordered systems

Cited by in corpus (14)

• Principles of 2D terahertz spectroscopy of collective excitations: the case of Josephson plasmons in layered superconductors
• Exploring Two-dimensional Coherent Spectroscopy with Exact Diagonalization: Spinons and Confinement in 1D Quantum Magnets
• Revealing Quadrupolar Excitations with Non-Linear Spectroscopy
• Quantum turnstiles for robust measurement of full counting statistics
• Anomalous thermal relaxation and pump-probe spectroscopy of 2D topologically ordered systems
• Detection of anyon braiding through pump-probe spectroscopy
• Diagnosing electronic phases of matter using photonic correlation functions
• Detecting symmetry fractionalization in gapped quantum spin liquids by magnetic impurities
• Probing Quantum Anomalous Hall States in Twisted Bilayer WSe2 via Attractive Polaron Spectroscopy
• Fractional Wannier Orbitals and Tight-Binding Gauge Fields for Kitaev Honeycomb Superlattices with Flat Majorana Bands
• Long-time divergences in the nonlinear response of gapped one-dimensional many-particle systems
• Hidden subsystem symmetry protected states in competing topological orders
• Momentum-resolved two-dimensional spectroscopy as a probe of nonlinear quantum field dynamics
• Measuring intrinsic relaxation rates in superconductors using nonlinear response