{"paper":{"title":"Competing PT potentials and re-entrant PT symmetric phase for a particle in a box","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Bijan Bagchi, Yogesh N. Joglekar","submitted_at":"2012-06-14T20:00:15Z","abstract_excerpt":"We investigate the effects of competition between two complex, $\\mathcal{PT}$-symmetric potentials on the $\\mathcal{PT}$-symmetric phase of a \"particle in a box\". These potentials, given by $V_Z(x)=iZ\\mathrm{sign}(x)$ and $V_\\xi(x)=i\\xi[\\delta(x-a)-\\delta(x+a)]$, represent long-range and localized gain/loss regions respectively. We obtain the $\\mathcal{PT}$-symmetric phase in the $(Z,\\xi)$ plane, and find that for locations $\\pm a$ near the edge of the box, the $\\mathcal{PT}$-symmetric phase is strengthened by additional losses to the loss region. We also predict that a broken $\\mathcal{PT}$-s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.3310","kind":"arxiv","version":1},"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"}