{"paper":{"title":"Density propagator for many-body localization: finite size effects, transient subdiffusion, and exponential decay","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.str-el","authors_text":"Felix Weiner, Ferdinand Evers, Giuseppe De Tomasi, Soumya Bera","submitted_at":"2016-10-10T20:29:03Z","abstract_excerpt":"We investigate charge relaxation in quantum-wires of spin-less disordered fermions ($t{-}V$-model). Our observable is the time-dependent density propagator, $\\Pi_{\\varepsilon}(x,t)$, calculated in windows of different energy density, $\\varepsilon$, of the many-body Hamiltonian and at different disorder strengths, $W$, not exceeding the critical value $W_\\text{c}$. The width $\\Delta x_\\varepsilon(t)$ of $\\Pi_\\varepsilon(x,t)$ exhibits a behavior $d\\ln \\Delta x_\\varepsilon(t) / d\\ln t {=} \\beta_\\varepsilon(t)$, where the exponent function $\\beta_\\varepsilon(t){\\lesssim}1/2$ is seen to depend str"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.03085","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"}