Dynamical Freezing and Scar Points in Strongly Driven Floquet Matter: Resonance vs Emergent Conservation Laws

We consider a clean quantum system subject to strong periodic driving. The existence of a dominant energy scale, h_{D}^{x}, can generate considerable structure in an effective description of a system that, in the absence of the drive, is nonintegrable and interacting, and does not host localization....

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Autores principales:	Asmi Haldar, Diptiman Sen, Roderich Moessner, Arnab Das
Formato:	article
Lenguaje:	EN
Publicado:	American Physical Society 2021
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/7ce01ffedac342a3a40e692271fe054c
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spelling	oai:doaj.org-article:7ce01ffedac342a3a40e692271fe054c2021-12-02T13:24:39ZDynamical Freezing and Scar Points in Strongly Driven Floquet Matter: Resonance vs Emergent Conservation Laws10.1103/PhysRevX.11.0210082160-3308https://doaj.org/article/7ce01ffedac342a3a40e692271fe054c2021-04-01T00:00:00Zhttp://doi.org/10.1103/PhysRevX.11.021008http://doi.org/10.1103/PhysRevX.11.021008https://doaj.org/toc/2160-3308We consider a clean quantum system subject to strong periodic driving. The existence of a dominant energy scale, h_{D}^{x}, can generate considerable structure in an effective description of a system that, in the absence of the drive, is nonintegrable and interacting, and does not host localization. In particular, we uncover points of freezing in the space of drive parameters (frequency and amplitude). At those points, the dynamics is severely constrained due to the emergence of an almost exact, local conserved quantity, which scars the entire Floquet spectrum by preventing the system from heating up ergodically, starting from any generic state, even though it delocalizes over an appropriate subspace. At large drive frequencies, where a naïve Magnus expansion would predict a vanishing effective (average) drive, we devise instead a strong-drive Magnus expansion in a moving frame. There, the emergent conservation law is reflected in the appearance of the “integrability” of an effective Hamiltonian. These results hold for a wide variety of Hamiltonians, including the Ising model in a transverse field in any dimension and for any form of Ising interaction. The phenomenon is also shown to be robust in the presence of two-body Heisenberg interactions with any arbitrary choice of couplings. Furthermore, we construct a real-time perturbation theory that captures resonance phenomena where the conservation breaks down, giving way to unbounded heating. This approach opens a window on the low-frequency regime where the Magnus expansion fails.Asmi HaldarDiptiman SenRoderich MoessnerArnab DasAmerican Physical SocietyarticlePhysicsQC1-999ENPhysical Review X, Vol 11, Iss 2, p 021008 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Asmi Haldar Diptiman Sen Roderich Moessner Arnab Das Dynamical Freezing and Scar Points in Strongly Driven Floquet Matter: Resonance vs Emergent Conservation Laws
description	We consider a clean quantum system subject to strong periodic driving. The existence of a dominant energy scale, h_{D}^{x}, can generate considerable structure in an effective description of a system that, in the absence of the drive, is nonintegrable and interacting, and does not host localization. In particular, we uncover points of freezing in the space of drive parameters (frequency and amplitude). At those points, the dynamics is severely constrained due to the emergence of an almost exact, local conserved quantity, which scars the entire Floquet spectrum by preventing the system from heating up ergodically, starting from any generic state, even though it delocalizes over an appropriate subspace. At large drive frequencies, where a naïve Magnus expansion would predict a vanishing effective (average) drive, we devise instead a strong-drive Magnus expansion in a moving frame. There, the emergent conservation law is reflected in the appearance of the “integrability” of an effective Hamiltonian. These results hold for a wide variety of Hamiltonians, including the Ising model in a transverse field in any dimension and for any form of Ising interaction. The phenomenon is also shown to be robust in the presence of two-body Heisenberg interactions with any arbitrary choice of couplings. Furthermore, we construct a real-time perturbation theory that captures resonance phenomena where the conservation breaks down, giving way to unbounded heating. This approach opens a window on the low-frequency regime where the Magnus expansion fails.
format	article
author	Asmi Haldar Diptiman Sen Roderich Moessner Arnab Das
author_facet	Asmi Haldar Diptiman Sen Roderich Moessner Arnab Das
author_sort	Asmi Haldar
title	Dynamical Freezing and Scar Points in Strongly Driven Floquet Matter: Resonance vs Emergent Conservation Laws
title_short	Dynamical Freezing and Scar Points in Strongly Driven Floquet Matter: Resonance vs Emergent Conservation Laws
title_full	Dynamical Freezing and Scar Points in Strongly Driven Floquet Matter: Resonance vs Emergent Conservation Laws
title_fullStr	Dynamical Freezing and Scar Points in Strongly Driven Floquet Matter: Resonance vs Emergent Conservation Laws
title_full_unstemmed	Dynamical Freezing and Scar Points in Strongly Driven Floquet Matter: Resonance vs Emergent Conservation Laws
title_sort	dynamical freezing and scar points in strongly driven floquet matter: resonance vs emergent conservation laws
publisher	American Physical Society
publishDate	2021
url	https://doaj.org/article/7ce01ffedac342a3a40e692271fe054c
work_keys_str_mv	AT asmihaldar dynamicalfreezingandscarpointsinstronglydrivenfloquetmatterresonancevsemergentconservationlaws AT diptimansen dynamicalfreezingandscarpointsinstronglydrivenfloquetmatterresonancevsemergentconservationlaws AT roderichmoessner dynamicalfreezingandscarpointsinstronglydrivenfloquetmatterresonancevsemergentconservationlaws AT arnabdas dynamicalfreezingandscarpointsinstronglydrivenfloquetmatterresonancevsemergentconservationlaws
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Dynamical Freezing and Scar Points in Strongly Driven Floquet Matter: Resonance vs Emergent Conservation Laws

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