# A Floquet model for the many-body localization transition

## Author(s): Zhang, Liangsheng; Khemani, Vedika; Huse, David A

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 Abstract: The nature of the dynamical quantum phase transition between the many-body localized (MBL) phase and the thermal phase remains an open question, and one line of attack on this problem is to explore this transition numerically in finite-size systems. To maximize the contrast between the MBL phase and the thermal phase in such finite-size systems, we argue one should choose a Floquet model with no local conservation laws and rapid thermalization to “infinite temperature” in the thermal phase. Here we introduce and explore such a Floquet spin chain model, and show that standard diagnostics of the MBL-to-thermal transition behave well in this model even at modest sizes. We also introduce a physically motivated spacetime correlation function which peaks at the transition in the Floquet model, but is strongly affected by conservation laws in Hamiltonian models. Publication Date: Dec-2016 Electronic Publication Date: 12-Dec-2016 Citation: Zhang, Liangsheng, Khemani, Vedika, Huse, David A. (2016). A Floquet model for the many-body localization transition. Physical Review B, 94 (22), 10.1103/PhysRevB.94.224202 DOI: doi:10.1103/PhysRevB.94.224202 ISSN: 2469-9950 EISSN: 2469-9969 Type of Material: Journal Article Journal/Proceeding Title: Physical Review B Version: Author's manuscript

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