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arXiv · 1912.05664

Distribution of Higher Order Spacing Ratios in Interacting Many Particle Systems

Priyanka Rao·Manan Vyas·N. D. Chavda
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Abstract

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.

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BibTeXRIS

Priyanka Rao, Manan Vyas, N. D. Chavda. 2019-12-09. Distribution of Higher Order Spacing Ratios in Interacting Many Particle Systems. https://arxiv.org/abs/1912.05664

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