Integrability Breaking and Bound States in Google’s Decorated XXZ Circuits

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dc.citation.issue1
dc.citation.rankM21a
dc.citation.spage010316
dc.citation.volume5
dc.contributor.authorHudomal, Ana
dc.contributor.authorSmith, Ryan
dc.contributor.authorHallam, Andrew
dc.contributor.authorPapić, Zlatko
dc.date.accessioned2024-06-07T06:47:13Z
dc.date.available2024-06-07T06:47:13Z
dc.date.issued2024-02-05
dc.description.abstractRecent quantum simulation by Google [Nature 612, 240 (2022)] has demonstrated the formation of bound states of interacting photons in a quantum-circuit version of the XXZ spin chain. While such bound states are protected by integrability in a one-dimensional chain, the experiment found the bound states to be unexpectedly robust when integrability was broken by decorating the circuit with additional qubits, at least for small numbers of qubits (≤24) within the experimental capability. Here we scrutinize this result by state-of-the-art classical simulations, which greatly exceed the experimental system sizes and provide a benchmark for future studies in larger circuits. We find that the bound states consisting of a finite number of photons are indeed robust in the nonintegrable regime, even after scaling to the infinite-time and infinite-system size limit. Moreover, we show that such systems possess unusual spectral properties, with level statistics that deviates from the random matrix theory expectation. On the other hand, for low but finite density of photons, we find a much faster onset of thermalization and significantly weaker signatures of bound states, suggesting that anomalous dynamics may only be a property of dilute systems with zero density of photons in the thermodynamic limit. The robustness of the bound states is also influenced by the number of decoration qubits and, to a lesser degree, by the regularity of their spatial arrangement.
dc.identifier.doi10.1103/prxquantum.5.010316
dc.identifier.issn2691-3399
dc.identifier.scopus2-s2.0-85184661646
dc.identifier.urihttps://pub.ipb.ac.rs/handle/123456789/54
dc.identifier.wos001170641200001
dc.language.isoen
dc.publisherAmerican Physical Society (APS)
dc.relation.ispartofPRX Quantum
dc.relation.ispartofabbrPRX Quantum
dc.rightsopenAccess
dc.titleIntegrability Breaking and Bound States in Google’s Decorated XXZ Circuits
dc.typeArticle
dc.type.versionpublishedVersion
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