The Reflected Entanglement Spectrum for Free Fermions
arXiv:2211.17255 · doi:10.1007/JHEP02(2023)223
Abstract
We consider the reflected entropy and the associated entanglement spectrum for free fermions reduced to two intervals in 1+1 dimensions. Working directly in the continuum theory the reflected entropy can be extracted from the spectrum of a singular integral equation whose kernel is determined by the known free fermion modular evolved correlation function. We find the spectrum numerically and analytically in certain limits. For intervals that almost touch the reflected entanglement spectrum approaches the spectrum of the thermal density matrix. This suggests that the reflected entanglement spectrum is well suited to the task of extracting physical data of the theory directly from the ground state wave function.
arXiv comment21 pages, 10 figures. v2: added reference and fixed typos
References in corpus (18)
- Geometric and Renormalized Entropy in Conformal Field Theory
- Entanglement entropy in free quantum field theory
- Notes on Some Entanglement Properties of Quantum Field Theory
- Emergent quantum criticality, Fermi surfaces, and AdS2
- Entanglement spectrum in one-dimensional systems
- Holographic Entanglement of Purification
- Reduced density matrix and internal dynamics for multicomponent regions
- Correlation measures and the entanglement wedge cross-section after quantum quenches in two-dimensional conformal field theories
- Reflected entropy in random tensor networks
- The Page Curve for Reflected Entropy
- Reflected entropy, symmetries and free fermions
- Geometric modular action for disjoint intervals and boundary conformal field theory
- Topological reflected entropy in Chern-Simons theories
- Reflected entropy for free scalars
- Von Neumann Entropy in QFT
- Long-distance entanglement of purification and reflected entropy in conformal field theory
- Seeing the Entanglement Wedge
- The Markov gap for geometric reflected entropy