تقرير
Critical phase and spin sharpening in SU(2)-symmetric monitored quantum circuits
| العنوان: | Critical phase and spin sharpening in SU(2)-symmetric monitored quantum circuits |
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| المؤلفون: | Majidy, Shayan, Agrawal, Utkarsh, Gopalakrishnan, Sarang, Potter, Andrew C., Vasseur, Romain, Halpern, Nicole Yunger |
| المصدر: | Phys. Rev. B 108, 054307 (2023) |
| سنة النشر: | 2023 |
| المجموعة: | Condensed Matter Quantum Physics |
| مصطلحات موضوعية: | Quantum Physics, Condensed Matter - Disordered Systems and Neural Networks, Condensed Matter - Statistical Mechanics |
| الوصف: | Monitored quantum circuits exhibit entanglement transitions at certain measurement rates. Such a transition separates phases characterized by how much information an observer can learn from the measurement outcomes. We study SU(2)-symmetric monitored quantum circuits, using exact numerics and a mapping onto an effective statistical-mechanics model. Due to the symmetry's non-Abelian nature, measuring qubit pairs allows for nontrivial entanglement scaling even in the measurement-only limit. We find a transition between a volume-law entangled phase and a critical phase whose diffusive purification dynamics emerge from the non-Abelian symmetry. Additionally, we numerically identify a "spin-sharpening transition." On one side is a phase in which the measurements can efficiently identify the system's total spin quantum number; on the other side is a phase in which measurements cannot. Comment: 8 pages (6 figures) + appendices (11.5 pages) |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevB.108.054307 |
| URL الوصول: | http://arxiv.org/abs/2305.13356 |
| رقم الأكسشن: | edsarx.2305.13356 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevB.108.054307 |
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