Universal geometric entanglement close to quantum phase transitions
| dc.creator | Orus, Roman | |
| dc.date | 2007-11-16 | |
| dc.date | 2008-03-24 | |
| dc.date.accessioned | 2026-07-07T11:13:14Z | |
| dc.date.available | 2026-07-07T11:13:14Z | |
| dc.description | Under successive Renormalization Group transformations applied to a quantum state $\ketΨ$ of finite correlation length $ξ$, there is typically a loss of entanglement after each iteration. How good it is then to replace $\ketΨ$ by a product state at every step of the process? In this paper we give a quantitative answer to this question by providing first analytical and general proofs that, for translationally invariant quantum systems in one spatial dimension, the global geometric entanglement per region of size $L \gg ξ$ diverges with the correlation length as $(c/12) \log{(ξ/ε)}$ close to a quantum critical point with central charge $c$, where $ε$ is a cut-off at short distances. Moreover, the situation at criticality is also discussed and an upper bound on the critical global geometric entanglement is provided in terms of a logarithmic function of $L$. | |
| dc.description | 4 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/0711.2556 | |
| dc.identifier | http://arxiv.org/abs/0711.2556 | |
| dc.identifier | Phys.Rev.Lett.100:130502,2008 | |
| dc.identifier | doi:10.1103/PhysRevLett.100.130502 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/191647 | |
| dc.subject | Quantum Physics | |
| dc.subject | Strongly Correlated Electrons | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Universal geometric entanglement close to quantum phase transitions | |
| dc.type | text |