Quenches near criticality of the quantum Ising chain: power and limitations of the discrete truncated Wigner approximation

The semi-classical discrete truncated Wigner approximation 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...

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Hauptverfasser: Czischek, Stefanie (VerfasserIn) , Gärttner, Martin (VerfasserIn) , Oberthaler, Markus K. (VerfasserIn) , Gasenzer, Thomas (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 2019
In: Quantum science and technology
Year: 2018, Jahrgang: 4, Heft: 1
ISSN:2058-9565
DOI:10.1088/2058-9565/aae3f7
Online-Zugang:Verlag, Volltext: https://doi.org/10.1088/2058-9565/aae3f7
Verlag, Volltext: https://iopscience.iop.org/article/10.1088/2058-9565/aae3f7
Volltext
Verfasserangaben:Stefanie Czischek, Martin Gärttner, Markus Oberthaler, Michael Kastner and Thomas Gasenzer

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520 |a The semi-classical discrete truncated Wigner approximation 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 benchmarking 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. 
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