Quenches near criticality of the quantum Ising chain

• Verfasst von: Czischek, Stefanie [VerfasserIn]
• Verfasst von: Gärttner, Martin [VerfasserIn]
• Verfasst von: Oberthaler, Markus K. [VerfasserIn]
• Verfasst von: Gasenzer, Thomas [VerfasserIn]
• Titel: Quenches near criticality of the quantum Ising chain
• Titelzusatz: power and limitations of the discrete truncated Wigner approximation
• Verf.angabe: Stefanie Czischek, Martin Gärttner, Markus Oberthaler, Michael Kastner, and Thomas Gasenzer
• Fussnoten: Gesehen am 18.01.2019
• Titel Quelle: Enthalten in: De.arxiv.org
• Jahr Quelle: 2018
• Band/Heft Quelle: (2018) Artikel-Nummer 1805.05221, 9 Seiten
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1586287877

Abstract

The semi-classical discrete truncated Wigner approximation (dTWA) has recently been proposed as a simulation method for spin-$1/2$ systems. While it appears to provide a powerful approach which shows promising results in higher dimensions and for systems with long-range interactions, its performance is still not well understood in general. Here we perform a systematic benchmark on the one-dimensional transverse-field Ising model and point to limitations of the approximation arising after sudden quenches into the quantum critical regime. Our procedure allows to identify the limitations of the semi-classical simulations and with that to determine the regimes and questions where quantum simulators can provide information which is inaccessible to semi-classics.