Two-dimensional coherent spectrum of interacting spinons from matrix-product states

Abstract

We compute numerically the second and third order nonlinear magnetic susceptibilities of an Ising ladder model in the context of two-dimensional coherent spectroscopy by using the infinite time-evolving block decimation method. The Ising ladder model couples a quantum Ising chain to a bath of polarized spins, thereby effecting the decay of spinon excitations. We show that its third order susceptibility contains a robust spinon echo signal in the weak coupling regime, which appears in the two-dimensional coherent spectrum as a highly anisotropic peak in the frequency plane. The spinon echo peak reveals the dynamical properties of the spinons. In particular, the spectral peak corresponding to the high energy spinons, which couple to the bath, is suppressed with increasing coupling, whereas those do not show no significant changes.

arXiv comment9 pages, 8 figures

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Cited by in corpus (13)

• Shedding Light on Microscopic Details: 2D Spectroscopy of 1D Quantum Ising Magnets
• Divergent nonlinear response from quasiparticle interactions
• Exploring Two-dimensional Coherent Spectroscopy with Exact Diagonalization: Spinons and Confinement in 1D Quantum Magnets
• Charge-Neutral Electronic Excitations in Quantum Insulators
• Photon echo and fractional excitation lensing of $S=1/2$ XY spin chain
• Revealing Quadrupolar Excitations with Non-Linear Spectroscopy
• Two-dimensional coherent spectrum of high-spin models via a quantum computing approach
• Multidimensional coherent spectroscopy of correlated lattice systems
• 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
• 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