{"paper":{"title":"Locality Bound for Dissipative Quantum Transport","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-th","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Sean A. Hartnoll, Xizhi Han","submitted_at":"2018-06-05T18:00:06Z","abstract_excerpt":"We prove an upper bound on the diffusivity of a general local and translation invariant quantum Markovian spin system: $D \\leq D_0 + \\left(\\alpha \\, v_\\text{LR} \\tau + \\beta \\, \\xi \\right) v_\\text{C}$. Here $v_\\text{LR}$ is the Lieb-Robinson velocity, $v_\\text{C}$ is a velocity defined by the current operator, $\\tau$ is the decoherence time, $\\xi$ is the range of interactions, $D_0$ is a microscopically determined diffusivity and $\\alpha$ and $\\beta$ are precisely defined dimensionless coefficients. The bound constrains quantum transport by quantities that can either be obtained from the micro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.01859","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"}