{"paper":{"title":"Damping law of photocount distribution in a dissipative channel","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Hong-yi Fan, Li-yun Hu, Sen-yue Lou","submitted_at":"2013-03-20T01:03:08Z","abstract_excerpt":"For a dissipative channel governed by the master equation of density operator}$d\\rho /dt=\\kappa \\left(2a\\rho a^{\\dagger}-a^{\\dagger}a\\rho -\\rho a^{\\dagger}a\\right) ,${\\small \\ we find that photocount distribution formula at time}$t,${\\small \\}$p\\left(n,t\\right) =Tr\\left\\{\\rho \\left(t\\right) \\mathbf{\\colon}\\left(\\xi a^{\\dagger}a\\right) ^{n}e^{-\\xi a^{\\dagger}a}/n!\\colon \\right\\} ,${\\small \\ becomes}$p\\left(n,t\\right) =Tr% \\left[ \\rho \\left(0\\right) \\mathbf{\\colon}\\left(\\xi e^{-2\\kappa t}a^{\\dagger}a\\right) ^{n}e^{-\\xi e^{-2\\kappa t}a^{\\dagger}a}/n!\\colon % \\right] ,${\\small \\ as if the quantum "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.4802","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"}