Entanglement Entropy and the Fermi Surface

Entanglement entropy and the Fermi surface.

Free fermions with a finite Fermi surface are known to exhibit an anomalously large entanglement entropy. The leading contribution to the entanglement entropy of a region of linear size L in d spatial dimensions is S∼L(d-1)logL, a result that should be contrasted with the usual boundary law S∼L(d-1). This term depends only on the geometry of the Fermi surface and on the boundary of the region i...

Entanglement entropy of composite Fermi liquid states on the lattice: In support of the Widom formula

and filling the lowest N states. Throughout, we use a “squarized” version of the triangular lattice as shown in Fig. 1(c) of the main text with rx = 0, 1, . . . , Lx − 1 and ry = 0, 1, . . . , Ly − 1. Equation (1) corresponds to a Landau-like gauge giving uniform flux φ through each triangle. At ρ = 1/4, we take φ = π/4 for d1,2 corresponding to ν = 1 [see the filled nearly flat band in Fig. 1(...

Quantum Entanglement and Entropy

Entanglement is the fundamental quantum property behind the now popular field of quantum transport of information. This quantum property is incompatible with the separation of a single system into two uncorrelated subsystems. Consequently, it does not require the use of an additive form of entropy. We discuss the problem of the choice of the most convenient entropy indicator, focusing our atten...

Black Hole Entropy and Entropy of Entanglement

We compare the one-loop corrections to the entropy of a black hole, from quantum fields of spin zero, one-half, and one, to the entropy of entanglement of the fields. For fields of spin zero and one-half the black hole entropy is identical to the entropy of entanglement. For spin one the two entropies differ by a contact interaction with the horizon which appears in the black hole entropy but n...

Electron-hole Entanglement in the Fermi Sea