Fidelity and quantum phase transitions
| dc.creator | Zhou, Huan-Qiang | |
| dc.creator | Barjaktarevic, John Paul | |
| dc.date | 2007-01-25 | |
| dc.date.accessioned | 2026-07-07T07:42:57Z | |
| dc.date.available | 2026-07-07T07:42:57Z | |
| dc.description | It is shown that the fidelity, a basic notion of quantum information science, may be used to characterize quantum phase transitions, regardless of what type of internal order is present in quantum many-body states. If the fidelity of two given states vanishes, then there are two cases: (1) they are in the same phase if the distinguishability results from irrelevant local information; or (2) they are in different phases if the distinguishability results from relevant long-distance information. The different effects of irrelevant and relevant information are quantified, which allows us to identify unstable and stable fixed points (in the sense of renormalization group theory). A physical implication of our results is the occurrence of the orthogonality catastrophe near the transition points. | |
| dc.description | 5 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0701608 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0701608 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/122643 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Fidelity and quantum phase transitions | |
| dc.type | text |