Signatures of fractional statistics in nonlinear pump-probe spectroscopy
arXiv:2210.16249 · doi:10.1103/PhysRevLett.132.066702
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.
6 pages, 1 figure. Longer companion paper published separately as Phys. Rev. B 109, 075108
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- 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