تقرير
Distribution of Higher Order Spacing Ratios in Interacting Many Particle Systems
| العنوان: | Distribution of Higher Order Spacing Ratios in Interacting Many Particle Systems |
|---|---|
| المؤلفون: | Rao, Priyanka, Vyas, Manan, Chavda, N. D. |
| سنة النشر: | 2019 |
| المجموعة: | Condensed Matter Nonlinear Sciences Quantum Physics |
| مصطلحات موضوعية: | Condensed Matter - Statistical Mechanics, Nonlinear Sciences - Chaotic Dynamics, Quantum Physics |
| الوصف: | We study the distribution of non-overlapping spacing ratios of higher-orders for complex interacting many-body quantum systems, with and without spin degree of freedom (in addition to the particle number). The Hamiltonian of such systems is well represented by embedded one- plus two-body random matrix ensembles (with and without spin degree of freedom) for fermionic as well as bosonic systems. We obtain a very good correspondence between the numerical results and a recently proposed generalized Wigner surmise like scaling relation. These results confirm that the proposed scaling relation is universal in understanding spacing ratios in complex many-body quantum systems. Using spin ensembles, we demonstrate that the higher order spacing ratio distributions can also reveal quantitative information about the underlying symmetry structure. Comment: 8 pages, 11 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1912.05664 |
| رقم الأكسشن: | edsarx.1912.05664 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |