Probing Strong Correlations with Light Scattering: the Example of the Quantum Ising model

Abstract

In this paper we calculate the nonlinear susceptibility and the resonant Raman cross section for the paramagnetic phase of the ferromagnetic Quantum Ising model in one dimension. In this region the spectrum of the Ising model has a gap $m$. The Raman cross section has a strong singularity when the energy of the outgoing photon is at the spectral gap ${\omega }_f\approx m$ and a square root threshold when the frequency difference between the incident and outgoing photons ${\omega }_i-{\omega }_f\approx 2m$. The latter feature reflects the fermionic nature of the Ising model excitations.

7 pages

References in corpus (3)

• A hierarchy of bound states in the 1D ferromagnetic Ising chain CoNb${}_2$O${}_6$ investigated by high resolution time-domain terahertz spectroscopy
• Heat capacity anomaly at the quantum critical point of the Transverse Ising Magnet CoNb_2O_6
• Electronic Raman scattering in correlated materials: exact treatment of nonresonant, mixed, and resonant scattering with dynamical mean field theory

Cited by in corpus (6)

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• Photon echo from lensing of fractional excitations in Tomonaga-Luttinger spin liquid
• Divergent nonlinear response from quasiparticle interactions
• Exploring Two-dimensional Coherent Spectroscopy with Exact Diagonalization: Spinons and Confinement in 1D Quantum Magnets
• Multipoint Green's functions in 1+1 dimensional integrable quantum field theories
• Long-time divergences in the nonlinear response of gapped one-dimensional many-particle systems