Growth of a Renormalized Operator as a Probe of Chaos
We propose that the size of an operator evolved under holographic renormalization group flow shall grow linearly with the scale and interpret this behavior as a manifestation of the saturation of the chaos bound. To test this conjecture, we study the operator growth in two different toy models. The...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2022/9216427 |
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| _version_ | 1832549744586522624 |
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| author | Xing Huang Binchao Zhang |
| author_facet | Xing Huang Binchao Zhang |
| author_sort | Xing Huang |
| collection | DOAJ |
| description | We propose that the size of an operator evolved under holographic renormalization group flow shall grow linearly with the scale and interpret this behavior as a manifestation of the saturation of the chaos bound. To test this conjecture, we study the operator growth in two different toy models. The first one is a MERA-like tensor network built from a random unitary circuit with the operator size defined using the integrated out-of-time-ordered correlator (OTOC). The second model is an error-correcting code of perfect tensors, and the operator size is computed using the number of single-site physical operators that realize the logical operator. In both cases, we observe linear growth. |
| format | Article |
| id | doaj-art-c079898930b54d34958b5bfeb389b125 |
| institution | Kabale University |
| issn | 1687-7365 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-c079898930b54d34958b5bfeb389b1252025-02-03T06:08:42ZengWileyAdvances in High Energy Physics1687-73652022-01-01202210.1155/2022/9216427Growth of a Renormalized Operator as a Probe of ChaosXing Huang0Binchao Zhang1Institute of Modern PhysicsInstitute of Modern PhysicsWe propose that the size of an operator evolved under holographic renormalization group flow shall grow linearly with the scale and interpret this behavior as a manifestation of the saturation of the chaos bound. To test this conjecture, we study the operator growth in two different toy models. The first one is a MERA-like tensor network built from a random unitary circuit with the operator size defined using the integrated out-of-time-ordered correlator (OTOC). The second model is an error-correcting code of perfect tensors, and the operator size is computed using the number of single-site physical operators that realize the logical operator. In both cases, we observe linear growth.http://dx.doi.org/10.1155/2022/9216427 |
| spellingShingle | Xing Huang Binchao Zhang Growth of a Renormalized Operator as a Probe of Chaos Advances in High Energy Physics |
| title | Growth of a Renormalized Operator as a Probe of Chaos |
| title_full | Growth of a Renormalized Operator as a Probe of Chaos |
| title_fullStr | Growth of a Renormalized Operator as a Probe of Chaos |
| title_full_unstemmed | Growth of a Renormalized Operator as a Probe of Chaos |
| title_short | Growth of a Renormalized Operator as a Probe of Chaos |
| title_sort | growth of a renormalized operator as a probe of chaos |
| url | http://dx.doi.org/10.1155/2022/9216427 |
| work_keys_str_mv | AT xinghuang growthofarenormalizedoperatorasaprobeofchaos AT binchaozhang growthofarenormalizedoperatorasaprobeofchaos |