Correspondence Principle for Many-Body Scars in Ultracold Rydberg Atoms

The theory of quantum scarring—a remarkable violation of quantum unique ergodicity—rests on two complementary pillars: the existence of unstable classical periodic orbits and the so-called quasimodes, i.e., the nonergodic states that strongly overlap with a small number of the system’s eigenstates....

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Autores principales:	C. J. Turner, J.-Y. Desaules, K. Bull, Z. Papić
Formato:	article
Lenguaje:	EN
Publicado:	American Physical Society 2021
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/1d2d7444447840628456c469cbd760d6
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spelling	oai:doaj.org-article:1d2d7444447840628456c469cbd760d62021-12-02T16:39:28ZCorrespondence Principle for Many-Body Scars in Ultracold Rydberg Atoms10.1103/PhysRevX.11.0210212160-3308https://doaj.org/article/1d2d7444447840628456c469cbd760d62021-04-01T00:00:00Zhttp://doi.org/10.1103/PhysRevX.11.021021http://doi.org/10.1103/PhysRevX.11.021021https://doaj.org/toc/2160-3308The theory of quantum scarring—a remarkable violation of quantum unique ergodicity—rests on two complementary pillars: the existence of unstable classical periodic orbits and the so-called quasimodes, i.e., the nonergodic states that strongly overlap with a small number of the system’s eigenstates. Recently, interest in quantum scars has been revived in a many-body setting of Rydberg atom chains. While previous theoretical works have identified periodic orbits for such systems using time-dependent variational principle (TDVP), the link between periodic orbits and quasimodes has been missing. Here we provide a conceptually simple analytic construction of quasimodes for the nonintegrable Rydberg atom model and prove that they arise from a “requantization” of previously established periodic orbits when quantum fluctuations are restored to all orders. Our results shed light on the TDVP classical system simultaneously playing the role of both the mean-field approximation and the system’s classical limit, thus allowing us to firm up the analogy between the eigenstate scarring in the Rydberg atom chains and the single-particle quantum systems.C. J. TurnerJ.-Y. DesaulesK. BullZ. PapićAmerican Physical SocietyarticlePhysicsQC1-999ENPhysical Review X, Vol 11, Iss 2, p 021021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 C. J. Turner J.-Y. Desaules K. Bull Z. Papić Correspondence Principle for Many-Body Scars in Ultracold Rydberg Atoms
description	The theory of quantum scarring—a remarkable violation of quantum unique ergodicity—rests on two complementary pillars: the existence of unstable classical periodic orbits and the so-called quasimodes, i.e., the nonergodic states that strongly overlap with a small number of the system’s eigenstates. Recently, interest in quantum scars has been revived in a many-body setting of Rydberg atom chains. While previous theoretical works have identified periodic orbits for such systems using time-dependent variational principle (TDVP), the link between periodic orbits and quasimodes has been missing. Here we provide a conceptually simple analytic construction of quasimodes for the nonintegrable Rydberg atom model and prove that they arise from a “requantization” of previously established periodic orbits when quantum fluctuations are restored to all orders. Our results shed light on the TDVP classical system simultaneously playing the role of both the mean-field approximation and the system’s classical limit, thus allowing us to firm up the analogy between the eigenstate scarring in the Rydberg atom chains and the single-particle quantum systems.
format	article
author	C. J. Turner J.-Y. Desaules K. Bull Z. Papić
author_facet	C. J. Turner J.-Y. Desaules K. Bull Z. Papić
author_sort	C. J. Turner
title	Correspondence Principle for Many-Body Scars in Ultracold Rydberg Atoms
title_short	Correspondence Principle for Many-Body Scars in Ultracold Rydberg Atoms
title_full	Correspondence Principle for Many-Body Scars in Ultracold Rydberg Atoms
title_fullStr	Correspondence Principle for Many-Body Scars in Ultracold Rydberg Atoms
title_full_unstemmed	Correspondence Principle for Many-Body Scars in Ultracold Rydberg Atoms
title_sort	correspondence principle for many-body scars in ultracold rydberg atoms
publisher	American Physical Society
publishDate	2021
url	https://doaj.org/article/1d2d7444447840628456c469cbd760d6
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Correspondence Principle for Many-Body Scars in Ultracold Rydberg Atoms

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