تقرير
Mean-field entanglement transitions in random tree tensor networks
| العنوان: | Mean-field entanglement transitions in random tree tensor networks |
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| المؤلفون: | Lopez-Piqueres, Javier, Ware, Brayden, Vasseur, Romain |
| المصدر: | Phys. Rev. B 102, 064202 (2020) |
| سنة النشر: | 2020 |
| المجموعة: | Condensed Matter Quantum Physics |
| مصطلحات موضوعية: | Condensed Matter - Statistical Mechanics, Condensed Matter - Disordered Systems and Neural Networks, Condensed Matter - Strongly Correlated Electrons, Quantum Physics |
| الوصف: | Entanglement phase transitions in quantum chaotic systems subject to projective measurements and in random tensor networks have emerged as a new class of critical points separating phases with different entanglement scaling. We propose a mean-field theory of such transitions by studying the entanglement properties of random tree tensor networks. As a function of bond dimension, we find a phase transition separating area-law from logarithmic scaling of the entanglement entropy. Using a mapping onto a replica statistical mechanics model defined on a Cayley tree and the cavity method, we analyze the scaling properties of such transitions. Our approach provides a tractable, mean-field-like example of an entanglement transition. We verify our predictions numerically by computing directly the entanglement of random tree tensor network states. Comment: 5 pages main text, 8 pages supp mat; v2. minor changes, expanded appendix section, as published |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevB.102.064202 |
| URL الوصول: | http://arxiv.org/abs/2003.01138 |
| رقم الأكسشن: | edsarx.2003.01138 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevB.102.064202 |
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