Spectroscopic fingerprints of gapped quantum spin liquids, both conventional and fractonic

Abstract

We explain how gapped quantum spin liquids, both conventional and 'fractonic', may be unambiguously diagnosed experimentally using the technique of multidimensional coherent spectroscopy. 'Conventional' gapped quantum spin liquids (e.g. $Z_2$ spin liquid) do not have clear signatures in linear response, but do have clear fingerprints in non-linear response, accessible through the already existing experimental technique of two dimensional coherent spectroscopy. Type I fracton phases (e.g. X-cube) are (surprisingly) even easier to distinguish, with strongly suggestive features even in linear response, and unambiguous signatures in non-linear response. Type II fracton systems, like Haah's code, are most subtle, and may require consideration of high order non-linear response for unambiguous diagnosis.

arXiv comment13 pages, 4 figures, Supplemental Material(15 pages, 3 figures)

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Cited by in corpus (37)

• Terahertz field-induced nonlinear coupling of two magnon modes in an antiferromagnet
• Measurement-induced phases of matter require feedback
• Photon echo from lensing of fractional excitations in Tomonaga-Luttinger spin liquid
• Extracting spinon self-energies from two-dimensional coherent spectroscopy
• Nonlinear spectroscopy of bound states in perturbed Ising spin chains
• Fractonic plaquette-dimer liquid beyond renormalization
• Fracton magnetohydrodynamics
• Two-dimensional coherent spectrum of interacting spinons from matrix-product states
• Shedding Light on Microscopic Details: 2D Spectroscopy of 1D Quantum Ising Magnets
• Exceptional dynamics of interacting spin liquids
• Divergent nonlinear response from quasiparticle interactions
• Multipole groups and fracton phenomena on arbitrary crystalline lattices
• Nonlinear response of the Kitaev honeycomb lattice model in a weak magnetic field
• Probing Majorana wavefunctions in Kitaev honeycomb spin liquids with second-order two-dimensional spectroscopy
• Exploring Two-dimensional Coherent Spectroscopy with Exact Diagonalization: Spinons and Confinement in 1D Quantum Magnets
• Spectroscopic fingerprints of gapless type-II fracton phases
• Unique Signatures of Topological Phases in Two-Dimensional THz Spectroscopy
• Photon echo and fractional excitation lensing of $S=1/2$ XY spin chain
• Probing spectral features of quantum many-body systems with quantum simulators
• Unlocking Quantum Control and Multi-Order Correlations via Terahertz Two-Dimensional Coherent Spectroscopy
• Anomalous thermal relaxation and pump-probe spectroscopy of 2D topologically ordered systems
• Revealing Quadrupolar Excitations with Non-Linear Spectroscopy
• Two-dimensional coherent spectrum of high-spin models via a quantum computing approach
• Quantum turnstiles for robust measurement of full counting statistics
• Exploiting polarization dependence in two dimensional coherent spectroscopy: examples of Ce${}_2$Zr${}_2$O${}_7$ and Nd${}_2$Zr${}_2$O${}_7$
• Disentangling spin excitation continua in classical and quantum magnets using 2D nonlinear spectroscopy
• Extracting Nonlinear Dynamical Response Functions from Time Evolution
• Adaptive variational quantum computing approaches for Green's functions and nonlinear susceptibilities
• Detection of anyon braiding through pump-probe spectroscopy
• Non-equilibrium dynamics of bosons with dipole symmetry: Large-$N$ Keldysh approach
• Diagnosing electronic phases of matter using photonic correlation functions
• Detecting symmetry fractionalization in gapped quantum spin liquids by magnetic impurities
• The Kekulé-Kitaev model: linear and non-linear responses and magnetic field effects
• Hydrodynamic non-linear response of interacting integrable systems
• Measuring intrinsic relaxation rates in superconductors using nonlinear response
• Long-time divergences in the nonlinear response of gapped one-dimensional many-particle systems
• Fractional Wannier Orbitals and Tight-Binding Gauge Fields for Kitaev Honeycomb Superlattices with Flat Majorana Bands