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In microdisks, the chaotic modes exhibit broadband transfer within the deformed cavities, but their transient response is less explored and yields a random output of the analog signal distributed uniformly from \u201c0\u201d to \u201c1.\u201d Here, we build chaotic states by perturbing the multimode microring resonators with densely packed silicon nanocrystals on the waveguide surface. In vivo measurements reveal random and \u201cdigitized\u201d output that ONLY populates around 0 and 1 intensity levels. The bus waveguide mode couples first to chaotic modes, then either dissipates or tunnels into stable WGMs. This binary pathway generates high-contrast, digitized outputs. The fully passive device enables real-time conversion of periodic clock signals into binary outputs with contrasts exceeding 12.3 dB, data rates of up to 10\n                    <jats:sup>7<\/jats:sup>\n                    \u00b7 bits per second, and 20 dB dynamic range.\n                  <\/jats:p>","DOI":"10.1073\/pnas.2502921122","type":"journal-article","created":{"date-parts":[[2025,7,17]],"date-time":"2025-07-17T17:51:53Z","timestamp":1752774713000},"update-policy":"https:\/\/doi.org\/10.1073\/pnas.cm10313","source":"Crossref","is-referenced-by-count":1,"title":["Bistable random momentum transfer in a linear on-chip resonator"],"prefix":"10.1073","volume":"122","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0414-6333","authenticated-orcid":false,"given":"Tingyi","family":"Gu","sequence":"first","affiliation":[{"name":"Department of Electrical Engineering, University of Delaware","place":["Newark"]},{"name":"Mechanical Engineering, Columbia University","place":["New York"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Lorry","family":"Chang","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering, University of Delaware","place":["Newark"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jiagui","family":"Wu","sequence":"additional","affiliation":[{"name":"Mechanical Engineering, Columbia University","place":["New York"]},{"name":"Fang Lu Mesoscopic Optics and Quantum Electronics Laboratory, University of California","place":["Los Angeles"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Lijun","family":"Wu","sequence":"additional","affiliation":[{"name":"Condensed Matter Physics and Materials Science Division, Brookhaven National Laboratory","place":["Upton"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hwaseob","family":"Lee","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering, University of Delaware","place":["Newark"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Young-Kai","family":"Chen","sequence":"additional","affiliation":[{"name":"Coherent","place":["Milmont"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1064-9765","authenticated-orcid":false,"given":"Masudur","family":"Rahim","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering, University of Delaware","place":["Newark"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Po","family":"Dong","sequence":"additional","affiliation":[{"name":"Coherent","place":["Milmont"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7652-7720","authenticated-orcid":false,"given":"Chee Wei","family":"Wong","sequence":"additional","affiliation":[{"name":"Mechanical Engineering, Columbia University","place":["New York"]},{"name":"Fang Lu Mesoscopic Optics and Quantum Electronics Laboratory, University of California","place":["Los Angeles"]}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"341","published-online":{"date-parts":[[2025,7,17]]},"reference":[{"key":"e_1_3_5_1_2","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511813498"},{"key":"e_1_3_5_2_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-387-69033-9"},{"key":"e_1_3_5_3_2","volume-title":"Probabilistic Machine Learning: An Introduction","author":"Murphy K. 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