Academic Journal
Entanglement and pseudo entanglement dynamics versus fusion in CFT
| العنوان: | Entanglement and pseudo entanglement dynamics versus fusion in CFT |
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| المؤلفون: | Song He, Yu-Xuan Zhang, Long Zhao, Zi-Xuan Zhao |
| المصدر: | Journal of High Energy Physics, Vol 2024, Iss 6, Pp 1-34 (2024) |
| بيانات النشر: | SpringerOpen |
| سنة النشر: | 2024 |
| المجموعة: | Directory of Open Access Journals: DOAJ Articles |
| مصطلحات موضوعية: | Conformal and W Symmetry, Field Theories in Lower Dimensions, Nuclear and particle physics. Atomic energy. Radioactivity, QC770-798 |
| الوصف: | The fusion rules and operator product expansion (OPE) serve as crucial tools in the study of operator algebras within conformal field theory (CFT). Building upon the vision of using entanglement to explore the connections between fusion coefficients and OPE coefficients, we employ the replica method and Schmidt decomposition method to investigate the time evolution of entanglement entropy (EE) and pseudo entropy (PE) for linear combinations of operators in rational conformal field theory (RCFT). We obtain a formula that links fusion coefficients, quantum dimensions, and OPE coefficients. We also identify two definition schemes for linear combination operators. Under one scheme, the EE captures information solely for the heaviest operators, while the PE retains information for all operators, reflecting the phenomenon of pseudo entropy amplification. Irrespective of the scheme employed, the EE demonstrates a step-like evolution, illustrating the effectiveness of the quasiparticle propagation picture for the general superposition of locally excited states in RCFT. From the perspective of quasiparticle propagation, we observe spontaneous block-diagonalization of the reduced density matrix of a subsystem when quasiparticles enter the subsystem. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| Relation: | https://doi.org/10.1007/JHEP06(2024)177; https://doaj.org/toc/1029-8479; https://doaj.org/article/73bab1166b504431b735eea05e8aa89e |
| DOI: | 10.1007/JHEP06(2024)177 |
| الاتاحة: | https://doi.org/10.1007/JHEP06(2024)177 https://doaj.org/article/73bab1166b504431b735eea05e8aa89e |
| رقم الانضمام: | edsbas.683D1586 |
| قاعدة البيانات: | BASE |
| DOI: | 10.1007/JHEP06(2024)177 |
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