Emergent local integrals of motion without a complete set of localized eigenstates Article Swipe
Scott Geraedts
,
R. N. Bhatt
,
Rahul Nandkishore
·
YOU?
·
· 2017
· Open Access
·
· DOI: https://doi.org/10.1103/physrevb.95.064204
YOU?
·
· 2017
· Open Access
·
· DOI: https://doi.org/10.1103/physrevb.95.064204
Systems where all energy eigenstates are localized are known to display an\nemergent local integrability, in the sense that one can construct an extensive\nnumber of operators that commute with the Hamiltonian and are localized in real\nspace. Here we show that emergent local integrability does not require a\ncomplete set of localized eigenstates. Given a set of localized eigenstates\ncomprising a nonzero fraction $(1-f)$ of the full many body spectrum, one can\nconstruct an extensive number of integrals of motion which are local in the\nsense that they have {\\it nonzero weight} in a compact region of real space, in\nthe thermodynamic limit. However, these modified integrals of motion have a\n`global dressing' whose weight vanishes as $\\sim f$ as $f \\rightarrow 0$. In\nthis sense, the existence of a {\\it non-zero fraction} of localized eigenstates\nis sufficient for emergent local integrability. We discuss the implications of\nour findings for systems where the spectrum contains delocalized states, for\nsystems with projected Hilbert spaces, and for the robustness of quantum\nintegrability.\n
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1103/physrevb.95.064204
- OA Status
- green
- Cited By
- 42
- References
- 59
- Related Works
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- OpenAlex ID
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Emergent local integrals of motion without a complete set of localized eigenstatesWork title
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articleOpenAlex work type
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enPrimary language
- Publication year
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2017Year of publication
- Publication date
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2017-02-13Full publication date if available
- Authors
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Scott Geraedts, R. N. Bhatt, Rahul NandkishoreList of authors in order
- Landing page
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https://doi.org/10.1103/physrevb.95.064204Publisher landing page
- Open access
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YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
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https://arxiv.org/pdf/1608.01328Direct OA link when available
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Eigenvalues and eigenvectors, Motion (physics), Set (abstract data type), Physics, Mathematics, Classical mechanics, Mathematical analysis, Computer science, Quantum mechanics, Programming languageTop concepts (fields/topics) attached by OpenAlex
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42Total citation count in OpenAlex
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2025: 3, 2024: 3, 2023: 3, 2022: 3, 2021: 2Per-year citation counts (last 5 years)
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59Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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| referenced_works | https://openalex.org/W2072891039, https://openalex.org/W2077599442, https://openalex.org/W2044154164, https://openalex.org/W4243640179, https://openalex.org/W2056511881, https://openalex.org/W2038591556, https://openalex.org/W1971185946, https://openalex.org/W2951714016, https://openalex.org/W2306451729, https://openalex.org/W2298911903, https://openalex.org/W2309096354, https://openalex.org/W2290361138, https://openalex.org/W2073868859, https://openalex.org/W2264002775, https://openalex.org/W2079747239, https://openalex.org/W2013627611, https://openalex.org/W2079602089, https://openalex.org/W2039006229, https://openalex.org/W2073848376, https://openalex.org/W1967106943, https://openalex.org/W1999423794, https://openalex.org/W2110596042, https://openalex.org/W2137084802, https://openalex.org/W2109251694, https://openalex.org/W1973774808, https://openalex.org/W1916865636, https://openalex.org/W1997421308, https://openalex.org/W2169963492, https://openalex.org/W2118814755, https://openalex.org/W1846328480, https://openalex.org/W1706364150, https://openalex.org/W2036346714, https://openalex.org/W2292490473, https://openalex.org/W1998550051, https://openalex.org/W1992350815, https://openalex.org/W1990965852, https://openalex.org/W2134085229, https://openalex.org/W2312540410, https://openalex.org/W2346716094, https://openalex.org/W2013947658, https://openalex.org/W1991400612, https://openalex.org/W2127488783, https://openalex.org/W1806619007, https://openalex.org/W1658253952, https://openalex.org/W2963218191, https://openalex.org/W2377070806, https://openalex.org/W1973947081, https://openalex.org/W1937272486, https://openalex.org/W2990961515, https://openalex.org/W2138707456, https://openalex.org/W3104103808, https://openalex.org/W3101901509, https://openalex.org/W3101998347, https://openalex.org/W3106254812, https://openalex.org/W3104653807, https://openalex.org/W3099146296, https://openalex.org/W3103271655, https://openalex.org/W2497759895, https://openalex.org/W1522073310 |
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