Particle partition entanglement of one dimensional spinless fermions. (24th August 2017)

• Record Type: Journal Article
• Authors: Barghathi, Hatem; Casiano-Diaz, Emanuel; Del Maestro, Adrian
• Is Part Of: Journal of statistical mechanics. (2017:Aug.)
• Publication Date: 2017-08-24
• Subjects: 2; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/aa819a
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: We investigate the scaling of the Rényi entanglement entropies for a particle bipartition of interacting spinless fermions in one spatial dimension. In the Tomonaga–Luttinger liquid regime, we calculate the second Rényi entanglement entropy and show that the leading order finite-size scaling is equal to a universal logarithm of the system size plus a non-universal constant. Higher-order corrections decay as power-laws in the system size with exponents that depend only on the Luttinger parameter. We confirm the universality of our results by investigating the one dimensional t − V model of interacting spinless fermions via exact-diagonalization techniques. The resulting sensitivity of the particle partition entanglement to boundary conditions and statistics supports its utility as a probe of quantum liquids.