{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"7aedd78f07873aa2d0766542819218248c856e4941ef18231fb97fcaa1062626","created":"2026-10-03T07:17:53Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011","ad53209a1b4584c9e7c51f3428e970b05edd30c07e735f9493a2a778e1fff2b8"],"salt":"adb3a062682dbc0c51719023f2744c3b236cbd2faf7edc94d4af4f814a9dcb03","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"value","assisted_by":[],"external_id":"amo.anderson-localization-3d.matter-wave-critical-exponent","kind":"well-posed","literature_status":"open","n":"1","parents":[{"note":"","parent_revision":"ad53209a1b4584c9e7c51f3428e970b05edd30c07e735f9493a2a778e1fff2b8","relation":"special_case"}],"plain":"Near the mobility edge, the size of trapped wave packets grows without bound following a power law whose exponent is believed to be universal. It has been measured only in a momentum-space analogue, never for atoms spreading in real three-dimensional disorder.","posed_since":"","precise":"For noninteracting matter waves in 3D speckle, the localization length $\\xi \\sim \\mid E - E_c\\mid^{-\\nu}$ below $E_c$ and diffusion constant $D \\sim (E - E_c)^s$ above it, with Wegner scaling $s = \\nu$ in 3D. Numerics for the orthogonal symmetry class (time-reversal symmetric, spinless) give $\\nu$ approximately 1.57; the quasiperiodic kicked rotor gave $\\nu$ near 1.6. An answer is a real-space measurement of $\\nu$ with an uncertainty below 0.1, and whether it matches the orthogonal class.","problem_ref":null,"references":"","settled_by":"Finite-time scaling analysis of real-space expansion of energy-selected atoms in 3D speckle across $E_c$.","status_note":"","title":"Critical exponent of the real-space 3D Anderson transition for atoms","topic_ref":"bc11afe41898d1fca110e69c7ca3a2305936041c4a0223c9dc11cbf47acacf74"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"4128ab90825ed3eb64d30b403c15a167150ae094edd92c44a7f9c7cfc57c6847","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"0b67d88fff1f66e64db672f9e829eb8d248dd8bd68df08f508925103bf9af0cd","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"jgNNv-cQN1TlgcemiwSrzCZaKHcMgOPnRf2lymJHmEnfYWKrMB2wVISziM6D1K07QnoiwQ65wtMh3n2_f8oVDg"},"schema":"pubphys.envelope/1"},"record_hash":"4128ab90825ed3eb64d30b403c15a167150ae094edd92c44a7f9c7cfc57c6847","leaf_index":365}