Entanglement of Spatial Regions vs. Entanglement of Particles
arXiv:1501.01743 · doi:10.1007/JHEP08(2016)121
Abstract
Consider an arbitrary local quantum field theory with a gap or an arbitrary gapless free theory. We consider states in such a theory, that describe two entangled particles localized in disjoint regions of space. We show that in such a state, to leading order, Rényi entropies of spatial regions, containing only one of the particles are same as their quantum mechanical counterparts, after subtraction of vacuum contribution. Subleading corrections depend on overlap of wave functions. These results suggest that Von Neumann entropy of a spatial region, after subtraction of vacuum contribution, can serve as a measure of entanglement of indistinguishable particles in pure states.
14 pages, v5: JHEP published version
References in corpus (6)
- Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
- Quantum Entanglement of Local Operators in Conformal Field Theories
- A c-theorem for the entanglement entropy
- Entanglement and Particle Identity: A Unifying Approach
- Entanglement, Particle Identity and the GNS Construction: A Unifying Approach
- Entanglement Entropy of Disjoint Regions in Excited States : An Operator Method