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EnglishConformal field theory (CFT) has been extremely successful in describing large-scale universal effects in one-dimensional (1D) systems at quantum critical points. Unfortunately, its applicability in condensed matter physics has been limited to situations in which the bulk is uniform because CFT describes low-energy excitations around some energy scale, taken to be constant throughout the system. However, in many experimental contexts, such as quantum gases in trapping potentials and in several out-of-equilibrium situations, systems are strongly inhomogeneous. We show here that the powerful CFT methods can be extended to deal with such 1D situations, providing a few concrete examples for non-interacting Fermi gases. The system's inhomogeneity enters the field theory action through parameters that vary with position; in particular, the metric itself varies, resulting in a CFT in curved space. This approach allows us to derive exact formulas for entanglement entropies which were not known by other means.
Conformal field theory for inhomogeneous one-dimensional quantum systems: the example of non-interacting Fermi gases / Dubail, Jerome; Calabrese, Pasquale; Stéphan, Jean-Marie; Viti, Jacopo. - In: SCIPOST PHYSICS. - ISSN 2542-4653. - 2:1(2017), pp. 1-21.
| Titolo: | Conformal field theory for inhomogeneous one-dimensional quantum systems: the example of non-interacting Fermi gases |
| Autori: | Dubail, Jerome; Calabrese, Pasquale; Stéphan, Jean-Marie; Viti, Jacopo |
| Rivista: | |
| Data di pubblicazione: | 2017 |
| Volume: | 2 |
| Fascicolo: | 1 |
| Pagina iniziale: | 1 |
| Pagina finale: | 21 |
| Numero di Articolo: | 002 |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.21468/SciPostPhys.2.1.002 |
| Fulltext via DOI: | http://dx.doi.org/10.21468/SciPostPhys.2.1.002 |
| URL: | https://arxiv.org/abs/1606.04401 |
| Appare nelle tipologie: | 1.1 Journal article |
File in questo prodotto:
| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| SciPostPhys_2_1_002.pdf | Versione Editoriale (PDF) |  | Open Access Visualizza/Apri |
