{"_id":"2717","volume":303,"author":[{"first_name":"László","full_name":"László Erdös","last_name":"Erdös","orcid":"0000-0001-5366-9603","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Knowles","full_name":"Knowles, Antti","first_name":"Antti"}],"month":"04","date_updated":"2021-01-12T06:59:15Z","title":"Quantum diffusion and eigenfunction delocalization in a random band matrix model","doi":"10.1007/s00220-011-1204-2","type":"journal_article","citation":{"chicago":"Erdös, László, and Antti Knowles. “Quantum Diffusion and Eigenfunction Delocalization in a Random Band Matrix Model.” <i>Communications in Mathematical Physics</i>. Springer, 2011. <a href=\"https://doi.org/10.1007/s00220-011-1204-2\">https://doi.org/10.1007/s00220-011-1204-2</a>.","apa":"Erdös, L., &#38; Knowles, A. (2011). Quantum diffusion and eigenfunction delocalization in a random band matrix model. <i>Communications in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s00220-011-1204-2\">https://doi.org/10.1007/s00220-011-1204-2</a>","ama":"Erdös L, Knowles A. Quantum diffusion and eigenfunction delocalization in a random band matrix model. <i>Communications in Mathematical Physics</i>. 2011;303(2):509-554. doi:<a href=\"https://doi.org/10.1007/s00220-011-1204-2\">10.1007/s00220-011-1204-2</a>","ieee":"L. Erdös and A. Knowles, “Quantum diffusion and eigenfunction delocalization in a random band matrix model,” <i>Communications in Mathematical Physics</i>, vol. 303, no. 2. Springer, pp. 509–554, 2011.","ista":"Erdös L, Knowles A. 2011. Quantum diffusion and eigenfunction delocalization in a random band matrix model. Communications in Mathematical Physics. 303(2), 509–554.","short":"L. Erdös, A. Knowles, Communications in Mathematical Physics 303 (2011) 509–554.","mla":"Erdös, László, and Antti Knowles. “Quantum Diffusion and Eigenfunction Delocalization in a Random Band Matrix Model.” <i>Communications in Mathematical Physics</i>, vol. 303, no. 2, Springer, 2011, pp. 509–54, doi:<a href=\"https://doi.org/10.1007/s00220-011-1204-2\">10.1007/s00220-011-1204-2</a>."},"publication_status":"published","day":"01","date_created":"2018-12-11T11:59:14Z","publication":"Communications in Mathematical Physics","date_published":"2011-04-01T00:00:00Z","extern":1,"status":"public","page":"509 - 554","abstract":[{"lang":"eng","text":"We consider Hermitian and symmetric random band matrices H in d ≥ 1 dimensions. The matrix elements H xy, indexed by, are independent, uniformly distributed random variables if {pipe}x-y{pipe} is less than the band width W, and zero otherwise. We prove that the time evolution of a quantum particle subject to the Hamiltonian H is diffusive on time scales. We also show that the localization length of the eigenvectors of H is larger than a factor W d/6 times the band width. All results are uniform in the size of the matrix. "}],"year":"2011","issue":"2","publist_id":"4175","publisher":"Springer","quality_controlled":0,"intvolume":"       303"}