Entanglement Entropy and Twist Fields
| dc.creator | Caraglio, Michele | |
| dc.creator | Gliozzi, Ferdinando | |
| dc.date | 2008-08-29 | |
| dc.date | 2008-11-26 | |
| dc.date.accessioned | 2026-07-07T12:15:25Z | |
| dc.date.available | 2026-07-07T12:15:25Z | |
| dc.description | The entanglement entropy of a subsystem of a quantum system is expressed, in the replica approach, through analytic continuation with respect to n of the trace of the n-th power of the reduced density matrix. This trace can be thought of as the vacuum expectation value of a suitable observable in a system made with n independent copies of the original system. We use this property to numerically evaluate it in some two-dimensional critical systems, where it can be compared with the results of Calabrese and Cardy, who wrote the same quantity in terms of correlation functions of twist fields of a conformal field theory. Although the two calculations match perfectly even in finite systems when the analyzed subsystem consists of a single interval, they disagree whenever the subsystem is composed of more than one connected part. The reasons of this disagreement are explained. | |
| dc.description | 25 pages, 10 figures v2: section 2.1 improved; matches published version | |
| dc.identifier | https://arxiv.org/abs/0808.4094 | |
| dc.identifier | http://arxiv.org/abs/0808.4094 | |
| dc.identifier | JHEP0811:076,2008 | |
| dc.identifier | doi:10.1088/1126-6708/2008/11/076 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/211490 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Statistical Mechanics | |
| dc.subject | High Energy Physics - Lattice | |
| dc.title | Entanglement Entropy and Twist Fields | |
| dc.type | text |