Entanglement entropy of fermions in any dimension and the Widom conjecture
| dc.creator | Gioev, Dimitri | |
| dc.creator | Klich, Israel | |
| dc.date | 2005-04-20 | |
| dc.date | 2006-03-15 | |
| dc.date.accessioned | 2026-07-07T06:40:56Z | |
| dc.date.available | 2026-07-07T06:40:56Z | |
| dc.description | We show that entanglement entropy of free fermions scales faster then area law, as opposed to the scaling $L^{d-1}$ for the harmonic lattice, for example. We also suggest and provide evidence in support of an explicit formula for the entanglement entropy of free fermions in any dimension $d$, $S\sim c(\partialΓ,\partialΩ)\cdot L^{d-1}\log L$ as the size of a subsystem $L\to\infty$, where $\partialΓ$ is the Fermi surface and $\partialΩ$ is the boundary of the region in real space. The expression for the constant $c(\partialΓ,\partialΩ)$ is based on a conjecture due to H. Widom. We prove that a similar expression holds for the particle number fluctuations and use it to prove a two sided estimates on the entropy $S$. | |
| dc.description | Final version | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0504151 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0504151 | |
| dc.identifier | Phys. Rev. Lett. 96, 100503 (2006) | |
| dc.identifier | doi:10.1103/PhysRevLett.96.100503 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101536 | |
| dc.subject | Quantum Physics | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Functional Analysis | |
| dc.title | Entanglement entropy of fermions in any dimension and the Widom conjecture | |
| dc.type | text |