Relating out-of-time-order correlations to entanglement via multiple-quantum coherences

• Verfasst von: Gärttner, Martin [VerfasserIn]
• Verfasst von: Hauke, Philipp [VerfasserIn]
• Verfasst von: Rey, Ana Maria [VerfasserIn]
• Titel: Relating out-of-time-order correlations to entanglement via multiple-quantum coherences
• Verf.angabe: Martin Gärttner, Philipp Hauke, and Ana Maria Rey
• E-Jahr: 2018
• Jahr: 24 January 2018
• Umfang: 6 S.
• Fussnoten: Gesehen am 10.12.2020
• Titel Quelle: Enthalten in: Physical review letters
• Ort Quelle: College Park, Md. : APS, 1958
• Jahr Quelle: 2018
• Band/Heft Quelle: 120(2018,4) Artikel-Nummer 040402, 6 Seiten
• ISSN Quelle: 1079-7114
• DOI: doi:10.1103/PhysRevLett.120.040402
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 157067325X

Abstract

Out-of-time-order correlations (OTOCs) characterize the scrambling, or delocalization, of quantum information over all the degrees of freedom of a system and thus have been proposed as a proxy for chaos in quantum systems. Recent experimental progress in measuring OTOCs calls for a more thorough understanding of how these quantities characterize complex quantum systems, most importantly in terms of the buildup of entanglement. Although a connection between OTOCs and entanglement entropy has been derived, the latter only quantifies entanglement in pure systems and is hard to access experimentally. In this work, we formally demonstrate that the multiple-quantum coherence spectra, a specific family of OTOCs well known in NMR, can be used as an entanglement witness and as a direct probe of multiparticle entanglement. Our results open a path to experimentally testing the fascinating idea that entanglement is the underlying glue that links thermodynamics, statistical mechanics, and quantum gravity.