Universal entanglement spectra in critical spin chains

Abstract

We advocate that in critical spin chains, and possibly in a larger class of 1D critical models, a gap in the momentum-space entanglement spectrum separates the universal part of the spectrum, which is determined by the associated conformal field theory, from the non-universal part, which is specific to the model. To this end, we provide affirmative evidence from multicritical spin chains with low energy sectors described by the SU(2)${}_2$ or the SU(3)${}_1$ Wess-Zumino-Witten model.

5 pages, 5 figures

References in corpus (12)

• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• Entanglement spectrum in one-dimensional systems
• Fractional Quantum Hall States and Jack Polynomials
• Entanglement entropy in fermionic Laughlin states
• Non-Abelian Statistics in a Quantum Antiferromagnet
• Universal features of left-right entanglement entropy
• Momentum-Space Entanglement Spectrum of Bosons and Fermions with Interactions
• Entanglement Entropy and Spectra of the One-dimensional Kugel-Khomskii Model
• Left-Right Entanglement Entropy of Boundary States
• Entanglement analysis of isotropic spin-1 chains
• Momentum-Space Entanglement in Heisenberg Spin-Half Ladders
• Determination of Tomonaga-Luttinger parameters for a two-component liquid

Cited by in corpus (14)

• Witnessing entanglement in quantum magnets using neutron scattering
• Entanglement spectrum degeneracy and Cardy formula in 1+1 dimensional conformal field theories
• Aspects of capacity of entanglement
• Universal entanglement spectrum in gapless symmetry protected topological states
• Negativity Spectrum in the Random Singlet Phase
• Momentum-space entanglement after a quench in one-dimensional disordered fermionic systems
• Critical Scaling Behaviors of Entanglement Spectra
• Evidence of quantum phase transition in real-space vacuum entanglement of higher derivative scalar quantum field theories
• Schmidt gap in random spin chains
• Emergent universality in critical quantum spin chains: entanglement Virasoro algebra
• General interaction quenches in a Luttinger liquid
• Momentum-space entanglement after smooth quenches
• Goldstone modes and the golden spiral in the ferromagnetic spin-1 biquadratic model
• Entanglement spectrum of gapless topological phases: a case study with topological superconductors