{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,11,3]],"date-time":"2026-11-03T20:02:09Z","timestamp":1793736129133,"version":"4.6.1"},"reference-count":75,"publisher":"American Physical Society (APS)","issue":"2","license":[{"start":{"date-parts":[[2026,8,13]],"date-time":"2026-08-13T00:00:00Z","timestamp":1786579200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100021856","name":"Ministero dell'Universit\u00e0 e della Ricerca","doi-asserted-by":"publisher","award":["PRIN2022"],"award-info":[{"award-number":["PRIN2022"]}],"id":[{"id":"10.13039\/501100021856","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100021856","name":"Ministero dell'Universit\u00e0 e della Ricerca","doi-asserted-by":"publisher","award":["20222BHC9Z"],"award-info":[{"award-number":["20222BHC9Z"]}],"id":[{"id":"10.13039\/501100021856","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["journals.aps.org"],"crossmark-restriction":true},"short-container-title":["Phys. Rev. E"],"accepted":{"date-parts":[[2026,7,6]]},"abstract":"<jats:p>\n                    We investigate thermalization in a tight-binding chain with an on-site defect subject to local dephasing noise implemented as random phase kicks. For a single linear defect of strength\n                    <a:math xmlns:a=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <a:mi>\u03b5<\/a:mi>\n                    <\/a:math>\n                    , we obtain an exact analytical description of the system spectrum and formulate the dephasing-induced dynamics in the eigenstate basis. We derive an approximate kinetic equation\u00a0for mode populations that describes a continuous-time random walk in action space. The walk transition rates are defined by the overlap matrix encoding the spatial structure of eigenstates that can be computed exactly. Analyzing the spectral properties of the equation, we show that defect-induced localized modes act as bottlenecks that strongly slow down relaxation, with rates scaling as\n                    <b:math xmlns:b=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <b:msup>\n                        <b:mi>\u03b5<\/b:mi>\n                        <b:mrow>\n                          <b:mo>\u2212<\/b:mo>\n                          <b:mn>2<\/b:mn>\n                        <\/b:mrow>\n                      <\/b:msup>\n                    <\/b:math>\n                    for strong defects. Using large-deviation theory, we characterize rare dynamical trajectories and identify distinct relaxation pathways associated with low- and high-activity regimes in action space. We provide numerical evidence that the large-deviation function exhibits a dynamical phase transition in the limit\n                    <c:math xmlns:c=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <c:mrow>\n                        <c:mi>\u03b5<\/c:mi>\n                        <c:mo>\u2192<\/c:mo>\n                        <c:mi>\u221e<\/c:mi>\n                      <\/c:mrow>\n                    <\/c:math>\n                    . We then extend our analysis to the nonlinear case, considering a single nonlinear defect embedded in either a linear or a fully nonlinear discrete Schr\u00f6dinger equation. Numerical simulations reveal a qualitatively faster approach to equilibrium than in the corresponding linear-defect model, driven by the amplitude-dependent weakening of the defect. Our results provide a unified framework for understanding thermalization, rare fluctuations, and relaxation pathways in stochastic tight-binding systems.\n                  <\/jats:p>","DOI":"10.1103\/gjkp-21dh","type":"journal-article","created":{"date-parts":[[2026,7,6]],"date-time":"2026-07-06T13:45:00Z","timestamp":1783345500000},"update-policy":"https:\/\/doi.org\/10.1103\/crossmark-policy","source":"Crossref","is-referenced-by-count":1,"title":["Dephasing-induced relaxation in tight-binding chains with linear and nonlinear defects"],"prefix":"10.1103","volume":"114","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8776-7065","authenticated-orcid":true,"given":"Debraj","family":"Das","sequence":"first","affiliation":[{"id":[{"id":"https:\/\/ror.org\/004fze387","id-type":"ROR","asserted-by":"publisher"}],"name":"SISSA \u2013 International School for Advanced Studies"},{"id":[{"id":"https:\/\/ror.org\/05rcgef49","id-type":"ROR","asserted-by":"publisher"}],"name":"Istituto dei Sistemi Complessi"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3450-6125","authenticated-orcid":true,"given":"Andrea","family":"Gambassi","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/004fze387","id-type":"ROR","asserted-by":"publisher"}],"name":"SISSA \u2013 International School for Advanced Studies"},{"id":[{"id":"https:\/\/ror.org\/05j3snm48","id-type":"ROR","asserted-by":"publisher"}],"name":"Istituto Nazionale di Fisica Nucleare, Sezione di Trieste"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0157-8176","authenticated-orcid":true,"given":"Stefano","family":"Iubini","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/05rcgef49","id-type":"ROR","asserted-by":"publisher"}],"name":"Istituto dei Sistemi Complessi"},{"id":[{"id":"https:\/\/ror.org\/02vv5y108","id-type":"ROR","asserted-by":"publisher"}],"name":"Istituto Nazionale di Fisica Nucleare, Sezione di Firenze"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8675-9541","authenticated-orcid":true,"given":"Stefano","family":"Lepri","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/05rcgef49","id-type":"ROR","asserted-by":"publisher"}],"name":"Istituto dei Sistemi Complessi"},{"id":[{"id":"https:\/\/ror.org\/02vv5y108","id-type":"ROR","asserted-by":"publisher"}],"name":"Istituto Nazionale di Fisica Nucleare, Sezione di Firenze"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"16","published-online":{"date-parts":[[2026,8,13]]},"reference":[{"key":"gjkp-21dhCc1R1","volume-title":"Solid State Physics","author":"N.\u00a0W. 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All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright_statement","label":"Copyright statement","group":{"name":"copyright","label":"copyright"}},{"value":"2026","name":"copyright_year","label":"Copyright year","group":{"name":"copyright","label":"copyright"}},{"value":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/","name":"creative_commons_license","label":"Creative Commons license","group":{"name":"licenses","label":"Licenses"}},{"value":"\u00a92026 The authors","name":"copyright_holder","label":"Copyright holder","group":{"name":"copyright","label":"copyright"}}],"article-number":"024128"}}