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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| Main Authors: | , , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
2019
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| In: |
Quantum science and technology
Year: 2018, Volume: 4, Issue: 1 |
| ISSN: | 2058-9565 |
| DOI: | 10.1088/2058-9565/aae3f7 |
| Online Access: | Verlag, Volltext: https://doi.org/10.1088/2058-9565/aae3f7 Verlag, Volltext: https://iopscience.iop.org/article/10.1088/2058-9565/aae3f7 
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| Author Notes: | Stefanie Czischek, Martin Gärttner, Markus Oberthaler, Michael Kastner and Thomas Gasenzer |
| Summary: | 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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| Item Description: | Published 16 October 2018 Gesehen am 01.08.2019 |
| Physical Description: | Online Resource |
| ISSN: | 2058-9565 |
| DOI: | 10.1088/2058-9565/aae3f7 |