{"publist_id":"4175","quality_controlled":0,"date_published":"2011-04-01T00:00:00Z","publication_status":"published","month":"04","doi":"10.1007/s00220-011-1204-2","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>.","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.","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>","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.","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>.","short":"L. Erdös, A. Knowles, Communications in Mathematical Physics 303 (2011) 509–554.","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>"},"date_updated":"2021-01-12T06:59:15Z","date_created":"2018-12-11T11:59:14Z","intvolume":"       303","volume":303,"year":"2011","title":"Quantum diffusion and eigenfunction delocalization in a random band matrix model","issue":"2","page":"509 - 554","day":"01","author":[{"orcid":"0000-0001-5366-9603","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","last_name":"Erdös","full_name":"László Erdös","first_name":"László"},{"first_name":"Antti","last_name":"Knowles","full_name":"Knowles, Antti"}],"publisher":"Springer","publication":"Communications in Mathematical Physics","type":"journal_article","extern":1,"abstract":[{"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. ","lang":"eng"}],"status":"public","_id":"2717"}