Extracting spinon self-energies from two-dimensional coherent spectroscopy

Abstract

Two-dimensional coherent spectroscopy (2DCS) is a nonlinear spectroscopy technique capable of identifying whether apparent continua in linear response are made out of multiplets of sharp deconfined quasiparticles. This makes it a potent tool for experimental identification of fractionalized phases. Previous discussions have focused on limits where the quasiparticles in question are infinitely long lived. In this manuscript we discuss 2DCS in the regime where the fractionalized quasiparticles can themselves decay. We introduce a powerful path integral based approach, whereby the computation of nonlinear susceptibilities reduces to an efficient exercise in diagrammatic perturbation theory. We apply this method to compute the 2DCS response of the one-dimensional transverse field Ising model, in the presence of integrability-breaking perturbations. We discuss aspects of the self-energy of the fractionalized quasiparticles that may be extracted via 2DCS, such as the momentum-dependent decay rate.

22 pages, 11 figures

References in corpus (5)

• Electrodynamics of Correlated Electron Materials
• Bipartite entanglement and entropic boundary law in lattice spin systems
• "Quasi-particle breakdown" in the quasi-one-dimensional Ising ferromagnet CoNb${}_2$O${}_6$
• Photon echo from lensing of fractional excitations in Tomonaga-Luttinger spin liquid
• Unique Signatures of Topological Phases in Two-Dimensional THz Spectroscopy

Cited by in corpus (19)

• Principles of 2D terahertz spectroscopy of collective excitations: the case of Josephson plasmons in layered superconductors
• 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
• 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
• 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
• Signatures of spinon dynamics and phase structure of dipolar-octupolar quantum spin ices in two-dimensional coherent spectroscopy
• 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
• Two-dimensional THz spectroscopy in electronic systems: a many-body diagrammatic approach
• Long-time divergences in the nonlinear response of gapped one-dimensional many-particle systems
• Measuring intrinsic relaxation rates in superconductors using nonlinear response