{"paper":{"title":"Fractional pumping of energy into a ballistic quantum ring","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"L. Gorelik, M. Jonson, R. I. Shekhter, S. Kulinich, Yu. Galperin","submitted_at":"1997-01-17T16:03:20Z","abstract_excerpt":"We consider the energy stored in a one-dimensional ballistic ring with a barrier subject to a linearly time-dependent magnetic flux. An exact analytic solution for the quantum dynamics of electrons in the ring is found for the case when the electro-motive force ${\\cal E}$ is much smaller than the level spacing, $\\Delta$. Electron states exponentially localized in energy are found for irrational values of the ratio $A\\equiv\\Delta/2e{\\cal E}$. Relaxation limits the dynamic evolution and localization does not develop if $A$ is sufficiently close to a rational number. As a result the accumulated e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9701126","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"}