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

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.

arXiv comment9 pages, 10 figures

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• Driven-dissipative criticality within the discrete truncated Wigner approximation
• Hybrid discrete-continuous truncated Wigner approximation for driven, dissipative spin systems
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• Local correlations in dual-unitary kicked chains
• Discrete and generalized phase space techniques in critical quantum spin chains
• Cluster truncated Wigner approximation for bond-disordered Heisenberg spin models
• Localization in the Kicked Ising Chain