{"paper":{"title":"Poisson to GOE transition in the distribution of the ratio of consecutive level spacings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD","quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"H. N. Deota, N. D. Chavda, V. K. B. Kota","submitted_at":"2014-05-24T17:00:28Z","abstract_excerpt":"Probability distribution for the ratio ($r$) of consecutive level spacings of the eigenvalues of a Poisson (generating regular spectra) spectrum and that of a GOE random matrix ensemble are given recently. Going beyond these, for the ensemble generated by the Hamiltonian $H_\\lambda = (H_0+\\lambda V)/\\sqrt{1+\\lambda^2}$ interpolating Poisson ($\\lambda=0$) and GOE ($\\lambda \\rightarrow \\infty$) we have analyzed the transition curves for $\\langle r\\rangle$ and $\\langle \\tilde{r}\\rangle$ as $\\lambda$ changes from $0$ to $\\infty$; $\\tilde{r} = min(r,1/r)$. Here, $V$ is a GOE ensemble of real symmet"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.6321","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}