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EnglishThe light-cone spreading of entanglement and correlation is a fundamental and ubiquitous feature of homogeneous extended quantum systems. Here we point out that a class of inhomogenous Luttinger liquids (those with a uniform Luttinger parameter K) at low energy display the universal phenomenon of curved light cones: gapless excitations propagate along the null geodesics of the metric ds(2) = d x(2) - v (x)(2)d t(2), with v (x) being the calculable spatial dependent velocity induced by the inhomogeneity. We confirm our findings with explicit analytic and numerical calculations both in-and out-of-equilibrium for a Tonks-Girardeau gas in a harmonic potential and in lattice systems with artificially tuned hamiltonian density.
Emergence of curved light-cones in a class of inhomogeneous Luttinger liquids / Dubail, Jerome; Stephan, Jean-marie; Calabrese, Pasquale. - In: SCIPOST PHYSICS. - ISSN 2542-4653. - 3:3(2017).
| Titolo: | Emergence of curved light-cones in a class of inhomogeneous Luttinger liquids |
| Autori: | Dubail, Jerome; Stephan, Jean-marie; Calabrese, Pasquale |
| Rivista: | |
| Data di pubblicazione: | 2017 |
| Volume: | 3 |
| Fascicolo: | 3 |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.21468/SciPostPhys.3.3.019 |
| Fulltext via DOI: | http://dx.doi.org/10.21468/SciPostPhys.3.3.019 |
| URL: | https://arxiv.org/abs/1705.00679 |
| Appare nelle tipologie: | 1.1 Journal article |
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| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| SciPostPhys_3_3_019.pdf | Versione Editoriale (PDF) |  | Open Access Visualizza/Apri |
