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  Information dynamics in a model with Hilbert space fragmentation

Hahn, D., McClarty, P. A., & Luitz, D. J. (2021). Information dynamics in a model with Hilbert space fragmentation. SciPost Physics, 11(4): 074, pp. 1-25. doi:10.21468/SciPostPhys.11.4.074.

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 Creators:
Hahn, Dominik1, Author
McClarty, Paul A.2, Author           
Luitz, David J.2, Author           
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1external, ou_persistent22              
2Max Planck Institute for the Physics of Complex Systems, Max Planck Society, ou_2117288              

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Free keywords: Semiclassics and chaos in quantum systems
 MPIPKS: Semiclassics and chaos in quantum systems
 Abstract: The fully frustrated ladder - a quasi-1D geometrically frustrated spin one half Heisenberg model - is non-integrable with local conserved quantities on rungs of the ladder, inducing the local fragmentation of the Hilbert space into sectors composed of singlets and triplets on rungs. We explore the far-from-equilibrium dynamics of this model through the entanglement entropy and out-of-time-ordered correlators (OTOC). The post-quench dynamics of the entanglement entropy is highly anomalous as it shows clear non-damped revivals that emerge from short connected chunks of triplets. We find that the maximum value of the entropy follows from a picture where coherences between different fragments co-exist with perfect thermalization within each fragment. This means that the eigenstate thermalization hypothesis holds within all sufficiently large Hilbert space fragments. The OTOC shows short distance oscillations arising from short coupled fragments, which become decoherent at longer distances, and a sub-ballistic spreading and long distance exponential decay stemming from an emergent length scale tied to fragmentation.

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 Dates: 2021-10-062021-10-01
 Publication Status: Issued
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Title: SciPost Physics
Source Genre: Journal
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Publ. Info: Amsterdam : SciPost Foundation
Pages: - Volume / Issue: 11 (4) Sequence Number: 074 Start / End Page: 1 - 25 Identifier: ISSN: 2542-4653
CoNE: https://pure.mpg.de/cone/journals/resource/2542-4653