Von Neumann Entropy Spectra and Entangled Excitations in Spin-Orbital Models

Abstract

We consider the low-energy excitations of one-dimensional spin-orbital models which consist of spin waves, orbital waves, and joint spin-orbital excitations. Among the latter we identify strongly entangled spin-orbital bound states which appear as peaks in the von Neumann entropy (vNE) spectral function introduced in this work. The strong entanglement of bound states is manifested by a universal logarithmic scaling of the vNE with system size, while the vNE of other spin-orbital excitations saturates. We suggest that spin-orbital entanglement can be experimentally explored by the measurement of the dynamical spin-orbital correlations using resonant inelastic x-ray scattering, where strong spin-orbit coupling associated with the core hole plays a role.

5 pages, 5 figures

References in corpus (13)

• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• Fidelity, dynamic structure factor, and susceptibility in critical phenomena
• Quantum Noise as an Entanglement Meter
• Spin-Orbital Separation in the quasi 1D Mott-insulator Sr2CuO3
• Entropy of entanglement and correlations induced by a quench: Dynamics of a quantum phase transition in the quantum Ising model
• Spin-Orbital Entanglement and Violation of the Goodenough-Kanamori Rules
• Fingerprints of spin-orbital entanglement in transition metal oxides
• Evolution of Spin-Orbital-Lattice Coupling in the $R$VO${}_3$ Perovskites
• Thermally activated Peierls dimerization in ferromagnetic spin chains
• Entropy Driven Dimerization in a One-Dimensional Spin-Orbital Model
• Spin-Orbital Entanglement and Phase Diagram of Spin-orbital Chain with $SU(2)\times SU(2)$ Symmetry
• Entangled spin-orbital phases in the bilayer Kugel-Khomskii model

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• Quantum phase transitions in exactly solvable one-dimensional compass models
• Frustration and Entanglement in Compass and Spin-Orbital Models
• Elementary Excitations in the Symmetric Spin--Orbital Model
• The scaling of entanglement entropy in a honeycomb lattice on a torus
• Green's function variational approach to orbital polarons in KCuF3
• Locally tunable disorder and entanglement in the one-dimensional plaquette orbital model
• Entanglement entropy and fidelity susceptibility in the one-dimensional spin-1 XXZ chains with alternating single-site anisotropy
• Squashed entanglement in one-dimensional quantum matter
• Quantum entanglement, local indicators and effect of external fields in the Kugel-Khomskii model
• Exotic Spin Order due to Orbital Fluctuations
• Spin chain in magnetic field: limitations of the large-N mean-field theory
• Witnessing Spin-Orbital Entanglement using Resonant Inelastic X-Ray Scattering