تقرير
Performance of wave function and Green's functions based methods for non equilibrium many-body dynamics
| العنوان: | Performance of wave function and Green's functions based methods for non equilibrium many-body dynamics |
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| المؤلفون: | Reeves, Cian C., Harsha, Gaurav, Shee, Avijit, Zhu, Yuanran, Yang, Chao, Whaley, K Birgitta, Zgid, Dominika, Vlcek, Vojtech |
| سنة النشر: | 2024 |
| المجموعة: | Condensed Matter Physics (Other) Quantum Physics |
| مصطلحات موضوعية: | Physics - Computational Physics, Condensed Matter - Strongly Correlated Electrons, Quantum Physics |
| الوصف: | Theoretical descriptions of non equilibrium dynamics of quantum many-body systems essentially employ either (i) explicit treatments, relying on truncation of the expansion of the many-body wave function, (ii) compressed representations of the many-body wave function, or (iii) evolution of an effective (downfolded) representation through Green's functions. In this work, we select representative cases of each of the methods and address how these complementary approaches capture the dynamics driven by intense field perturbations to non equilibrium states. Under strong driving, the systems are characterized by strong entanglement of the single particle density matrix and natural populations approaching those of a strongly interacting equilibrium system. We generate a representative set of results that are numerically exact and form a basis for critical comparison of the distinct families of methods. We demonstrate that the compressed formulation based on similarity transformed Hamiltonians (coupled cluster approach) is practically exact in weak fields and, hence, weakly or moderately correlated systems. Coupled cluster, however, struggles for strong driving fields, under which the system exhibits strongly correlated behavior, as measured by the von Neumann entropy of the single particle density matrix. The dynamics predicted by Green's functions in the (widely popular) GW approximation are less accurate by improve significantly upon the mean-field results in the strongly driven regime. Comment: 11 pages, 2 figures in main text. 11 page supplemental information with 6 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2405.08814 |
| رقم الأكسشن: | edsarx.2405.08814 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |