Papers › Detection of anyon braiding through pump-probe spectroscopy
Detection of anyon braiding through pump-probe spectroscopy
Xu Yang, Ryan Buechele, Nandini Trivedi
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We show that the braiding of anyons in a quantum spin liquid leaves a distinct dynamical signature in the nonlinear pump-probe response. Using a combination of exact diagonalization and matrix product state techniques, we study the nonlinear pump-probe response of the toric code in a magnetic field, a model which hosts mobile electric e and magnetic m anyonic excitations. While the linear response signal oscillates and decays with time like ∼t^(-1.3), the amplitude of the nonlinear signal for χ⁽³⁾_(XZZ) features a linear-in-time enhancement at early times. The comparison between χ⁽³⁾_(XZZ), which involves the non-trivial braiding of e and m anyons, and χ⁽³⁾_(XXX) that involves the trivial braiding of the same types of anyons, serves to distinguish the braiding statistics of anyons. We support our analysis by constructing a hard-core anyon model with statistical gauge fields to develop further insights into the time dependence of the pump-probe response. Pump-probe spectroscopy provides a distinctive new probe of quantum spin liquid states, beyond the inconclusive broad features observed in single spin flip inelastic neutron scattering.
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