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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.22792 |
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| _version_ | 1866912836082466816 |
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| author | Yang, Xu Buechele, Ryan Trivedi, Nandini |
| author_facet | Yang, Xu Buechele, Ryan Trivedi, Nandini |
| contents | 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 $\sim t^{-1.3}$, 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_22792 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Detection of anyon braiding through pump-probe spectroscopy Yang, Xu Buechele, Ryan Trivedi, Nandini Strongly Correlated Electrons 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 $\sim t^{-1.3}$, 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. |
| title | Detection of anyon braiding through pump-probe spectroscopy |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2503.22792 |