Correspondence Principle for Many-Body Scars in Ultracold Rydberg Atoms

Turner, Christopher; Desaules, Jean-Yves; Bull, Kieran; Papić, Zlatko

doi:10.1103/physrevx.11.021021

Cited by 51 publications

(38 citation statements)

References 74 publications

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“…Larger systems can also be investigated using the symmetric subspace approximation [54], confirming the extensive scaling within this framework [57]. At much later times, however, the QFI starts to drop, as expected from the eigenstate plot in Fig.…”

supporting

confidence: 53%

“…However, approximation schemes have been developed for this model, allowing to access much larger systems. In particular, the symmetric subspace approximation [54] allows to accurately approximate scarred PXP eigenstates while it maintains a direct connection with the semiclassical limit of the PXP model described by the Time-Dependent Variational Principle (TDVP) [24].…”

Section: Extensive Fisher Information In Large Pxp Eigenstates Within...mentioning

confidence: 99%

“…Such subspaces have been shown to arise due to several complementary mechanisms, including spectrum generating algebras [28][29][30][31][32][33][34][35][36][37][38], Hilbert space fragmentation [39][40][41][42][43] and projector embedding [44][45][46][47]. These mechanisms co-exist in the socalled PXP spin model [48][49][50][51][52][53][54], which describes stronglyinteracting chains of Rydberg atoms, in which signatures of QMBS have also been observed experimentally [55]. While theoretical studies of QMBS have focused extensively on their bipartite entanglement, demonstrating an ETH violation via the sub-volume law entanglement entropy, the study of multipartite entanglement of QMBS has so far been lacking.…”

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confidence: 99%

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Quantum many-body scars have extensive multipartite entanglement

Desaules,

Pietracaprina,

Papić

et al. 2021

Preprint

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Recent experimental observation of weak ergodicity breaking in Rydberg atom quantum simulators has sparked interest in quantum many-body scars -eigenstates which evade thermalisation at finite energy densities due to novel mechanisms that do not rely on integrability or protection by a global symmetry. A salient feature of quantum many-body scars is their sub-volume bipartite entanglement entropy. In this work we demonstrate that exact many-body scars also possess extensive multipartite entanglement structure. We show this analytically, through a scaling of the quantum Fisher information density, which is found to be extensive for scarred eigenstates in contrast to generic thermal states. Furthermore, we numerically study signatures of multipartite entanglement in the PXP model of Rydberg atoms, showing that extensive quantum Fisher information can be generated dynamically by performing a global quench experiment. Our results identify a rich multipartite correlation structure of scarred states with significant potential as a resource in quantum enhanced metrology.

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supporting

confidence: 53%

Section: Extensive Fisher Information In Large Pxp Eigenstates Within...mentioning

confidence: 99%

mentioning

confidence: 99%

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Quantum many-body scars have extensive multipartite entanglement

Desaules,

Pietracaprina,

Papić

et al. 2021

Preprint

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“…Remarkably, while the PXP model is quantum chaotic [23], preparing the system in a highly out-ofequilibrium |Z 2 initial state leads to persistent quantum revivals [34][35][36]. The presence of revivals due to a special initial state in an overall chaotic system was understood to be a many-body analog of the phenomena associated with a single particle inside a stadium billiard, where nonergodicity arises as a "scar" imprinted by a particle's classical periodic orbit [16,37,38]. In many-body scarred systems, eigenstates were shown to form tower structures, illustrated in Fig.…”

Section: Observation Of Z2 Quantum Many-body Scarsmentioning

confidence: 99%

Observation of unconventional many-body scarring in a quantum simulator

Su¹,

Hudomal²,

Desaules³

et al. 2022

Preprint

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The ongoing quest for understanding nonequilibrium dynamics of complex quantum systems underpins the foundation of statistical physics as well as the development of quantum technology. Quantum many-body scarring has recently opened a window into novel mechanisms for delaying the onset of thermalization, however its experimental realization remains limited to the Z2 state in a Rydberg atom system. Here we realize unconventional many-body scarring in a Bose-Hubbard quantum simulator with a previously unknown initial condition -the unit-filling state. Our measurements of entanglement entropy illustrate that scarring traps the many-body system in a low-entropy subspace. Further, we develop a quantum interference protocol to probe out-of-time correlations, and demonstrate the system's return to the vicinity of the initial state by measuring single-site fidelity. Our work makes the resource of scarring accessible to a broad class of ultracold-atom experiments, and it allows to explore its relation to constrained dynamics in lattice gauge theories, Hilbert space fragmentation, and disorder-free localization.

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“…The unexpected phenomenon of quantum scarring was observed in early studies of the Bunimovich stadium billiard [60,61], although the term was coined later [17,[40][41][42]53]. Recently, the subject has received boosted attention due to the socalled "many-body quantum scars" [75,76], which still await for possible links with the classical phase space.…”

Section: Introductionmentioning

confidence: 99%

Identification of quantum scars via phase-space localization measures

Santos

Pilatowsky-Cameo

̃nor

et al. 2022

Quantum

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There is no unique way to quantify the degree of delocalization of quantum states in unbounded continuous spaces. In this work, we explore a recently introduced localization measure that quantifies the portion of the classical phase space occupied by a quantum state. The measure is based on the α-moments of the Husimi function and is known as the Rényi occupation of order α. With this quantity and random pure states, we find a general expression to identify states that are maximally delocalized in phase space. Using this expression and the Dicke model, which is an interacting spin-boson model with an unbounded four-dimensional phase space, we show that the Rényi occupations with α>1 are highly effective at revealing quantum scars. Furthermore, by analyzing the high moments (α>1) of the Husimi function, we are able to identify qualitatively and quantitatively the unstable periodic orbits that scar some of the eigenstates of the model.

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Correspondence Principle for Many-Body Scars in Ultracold Rydberg Atoms

Cited by 51 publications

References 74 publications

Quantum many-body scars have extensive multipartite entanglement

Quantum many-body scars have extensive multipartite entanglement

Observation of unconventional many-body scarring in a quantum simulator

Identification of quantum scars via phase-space localization measures

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