Prethermalization without Temperature

While a clean, driven system generically absorbs energy until it reaches “infinite temperature,” it may do so very slowly exhibiting what is known as a prethermal regime. Here, we show that the emergence of an additional approximately conserved quantity in a periodically driven (Floquet) system can...

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Autores principales:	David J. Luitz, Roderich Moessner, S. L. Sondhi, Vedika Khemani
Formato:	article
Lenguaje:	EN
Publicado:	American Physical Society 2020
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/4735b2d049b549a09dc4bf1076b71b85
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spelling	oai:doaj.org-article:4735b2d049b549a09dc4bf1076b71b852021-12-02T12:09:41ZPrethermalization without Temperature10.1103/PhysRevX.10.0210462160-3308https://doaj.org/article/4735b2d049b549a09dc4bf1076b71b852020-05-01T00:00:00Zhttp://doi.org/10.1103/PhysRevX.10.021046http://doi.org/10.1103/PhysRevX.10.021046https://doaj.org/toc/2160-3308While a clean, driven system generically absorbs energy until it reaches “infinite temperature,” it may do so very slowly exhibiting what is known as a prethermal regime. Here, we show that the emergence of an additional approximately conserved quantity in a periodically driven (Floquet) system can give rise to an analogous long-lived regime. This can allow for nontrivial dynamics, even from initial states that are at a high or infinite temperature with respect to an effective Hamiltonian governing the prethermal dynamics. We present concrete settings with such a prethermal regime, one with a period-doubled (time-crystalline) response. We also present a direct diagnostic to distinguish this prethermal phenomenon from its infinitely long-lived many-body localized cousin. We apply these insights to a model of the recent NMR experiments by Rovny et al. [Phys. Rev. Lett. 120, 180603 (2018)PRLTAO0031-900710.1103/PhysRevLett.120.180603] which, intriguingly, detected signatures of a Floquet time crystal in a clean three-dimensional material. We show that a mild but subtle variation of their driving protocol can increase the lifetime of the time-crystalline signal by orders of magnitude.David J. LuitzRoderich MoessnerS. L. SondhiVedika KhemaniAmerican Physical SocietyarticlePhysicsQC1-999ENPhysical Review X, Vol 10, Iss 2, p 021046 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 David J. Luitz Roderich Moessner S. L. Sondhi Vedika Khemani Prethermalization without Temperature
description	While a clean, driven system generically absorbs energy until it reaches “infinite temperature,” it may do so very slowly exhibiting what is known as a prethermal regime. Here, we show that the emergence of an additional approximately conserved quantity in a periodically driven (Floquet) system can give rise to an analogous long-lived regime. This can allow for nontrivial dynamics, even from initial states that are at a high or infinite temperature with respect to an effective Hamiltonian governing the prethermal dynamics. We present concrete settings with such a prethermal regime, one with a period-doubled (time-crystalline) response. We also present a direct diagnostic to distinguish this prethermal phenomenon from its infinitely long-lived many-body localized cousin. We apply these insights to a model of the recent NMR experiments by Rovny et al. [Phys. Rev. Lett. 120, 180603 (2018)PRLTAO0031-900710.1103/PhysRevLett.120.180603] which, intriguingly, detected signatures of a Floquet time crystal in a clean three-dimensional material. We show that a mild but subtle variation of their driving protocol can increase the lifetime of the time-crystalline signal by orders of magnitude.
format	article
author	David J. Luitz Roderich Moessner S. L. Sondhi Vedika Khemani
author_facet	David J. Luitz Roderich Moessner S. L. Sondhi Vedika Khemani
author_sort	David J. Luitz
title	Prethermalization without Temperature
title_short	Prethermalization without Temperature
title_full	Prethermalization without Temperature
title_fullStr	Prethermalization without Temperature
title_full_unstemmed	Prethermalization without Temperature
title_sort	prethermalization without temperature
publisher	American Physical Society
publishDate	2020
url	https://doaj.org/article/4735b2d049b549a09dc4bf1076b71b85
work_keys_str_mv	AT davidjluitz prethermalizationwithouttemperature AT roderichmoessner prethermalizationwithouttemperature AT slsondhi prethermalizationwithouttemperature AT vedikakhemani prethermalizationwithouttemperature
_version_	1718394624567934976

Prethermalization without Temperature

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