Measuring von Neumann entanglement entropies without wave functions

التفاصيل البيبلوغرافية
العنوان: Measuring von Neumann entanglement entropies without wave functions
المؤلفون: Mendes-Santos, T., Giudici, G., Fazio, R., Dalmonte, M.
سنة النشر: 2019
المجموعة: Condensed Matter
Quantum Physics
مصطلحات موضوعية: Condensed Matter - Strongly Correlated Electrons, Condensed Matter - Statistical Mechanics, Quantum Physics
الوصف: We present a method to measure the von Neumann entanglement entropy of ground states of quantum many-body systems which does not require access to the system wave function. The technique is based on a direct thermodynamic study of entanglement Hamiltonians, whose functional form is available from field theoretical insights. The method is applicable to classical simulations such as quantum Monte Carlo methods, and to experiments that allow for thermodynamic measurements such as the density of states, accessible via quantum quenches. We benchmark our technique on critical quantum spin chains, and apply it to several two-dimensional quantum magnets, where we are able to unambiguously determine the onset of area law in the entanglement entropy, the number of Goldstone bosons, and to check a recent conjecture on geometric entanglement contribution at critical points described by strongly coupled field theories.
نوع الوثيقة: Working Paper
DOI: 10.1088/1367-2630/ab6875
URL الوصول: http://arxiv.org/abs/1904.07782
رقم الأكسشن: edsarx.1904.07782
قاعدة البيانات: arXiv
الوصف
DOI:10.1088/1367-2630/ab6875