Nonlinear spectroscopy of bound states in perturbed Ising spin chains

Abstract

We study the nonlinear response of non-integrable 1D spin models using infinite matrix-product state techniques. As a benchmark and demonstration of the method, we first calculate the 2D coherent spectroscopy for the exactly soluble ferromagnetic transverse field Ising model, where excitations are freely moving domain-walls. We then investigate the distinct signatures of confined bound states by introducing a longitudinal field and observe the emergence of strong non-rephasing like signals. To interpret the observed phenomena, we use a two-kink approximation to perturbatively compute the 2D spectra. We find good agreement in comparison with the exact results of the infinite matrix-product state method in the strongly confined regime. We discuss the relevance of our results for quasi$-$1D Ising spin chain materials such as ${\mathrm{CoNb}}_2{\mathrm{O}}_6$.

arXiv comment9 pages, 5 figures

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• Shedding Light on Microscopic Details: 2D Spectroscopy of 1D Quantum Ising Magnets
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• Exploring Two-dimensional Coherent Spectroscopy with Exact Diagonalization: Spinons and Confinement in 1D Quantum Magnets
• Photon echo and fractional excitation lensing of $S=1/2$ XY spin chain
• Revealing Quadrupolar Excitations with Non-Linear Spectroscopy
• Multidimensional coherent spectroscopy of correlated lattice systems
• Disentangling spin excitation continua in classical and quantum magnets using 2D nonlinear spectroscopy
• Extracting Nonlinear Dynamical Response Functions from Time Evolution
• Detection of anyon braiding through pump-probe spectroscopy
• Diagnosing electronic phases of matter using photonic correlation functions
• Signatures of Domain-Wall Confinement in Raman Spectroscopy of Ising Spin Chains
• The Kekulé-Kitaev model: linear and non-linear responses and magnetic field effects
• Long-time divergences in the nonlinear response of gapped one-dimensional many-particle systems