{"paper":{"title":"Infinite operator-sum representation of density operator for a dissipative cavity with Kerr medium derived by virtue of entangled state representation","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Hong-yi Fan, Li-yun Hu","submitted_at":"2009-05-15T00:03:01Z","abstract_excerpt":"By using the thermo entangled state representation we solve the master equation for a dissipative cavity with Kerr medium to obtain density operators' infinite operator-sum representation}$\\rho (t) =\\sum_{m,n,l=0}^{\\infty}M_{m,n,l}\\rho_{0}\\mathcal{M}_{m,n,l}^{\\dagger}.$ It is noticeable that}$M_{m,n,l}$ is not hermite conjugate to $\\mathcal{M}_{m,n,l}^{\\dagger}$, nevertheless the normalization}$\\sum_{m,n,l=0}^{\\infty}\\mathcal{M}_{nm,,l}^{\\dagger}M_{m,n,l}=1$ still holds}, i.e., they are trace-preserving in a general sense. This example may stimulate further studying if general superoperator th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.2448","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"}