Relationship between classical motion in random media and quantum localization
Anno: 1986
Autori: Schneider T., Soerensen M. P., Politi A., Zannetti M.
Affiliazione autori: IBM Zurich Research Laboratory, 8803 Rüschlikon, Switzerland;
Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, Italy.
Abstract: We establish the mapping of the master equation for classical motion in random media to a quantum system, describing the motion of a quantum particle in a random potential. Invoking dynamic scaling, the mapping connects the time-dependent mean-square displacement of classical motion with the density of states in terms of the classical correlation length. These connections are illustrated for a model with exactly soluble diffusion properties confirming dynamic scaling. The numerical results for the quantum counterpart reveal energy-dependent localization in terms of the real part of the Lyapunov exponent, being proportional to the inverse localization length.
Giornale/Rivista: PHYSICAL REVIEW LETTERS
Volume: 56 (22) Da Pagina: 2341 A: 2343
Parole chiavi: classical motion; quantum system,; DOI: 10.1103/PhysRevLett.56.2341Citazioni: 21dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2024-05-12Riferimenti tratti da Isi Web of Knowledge: (solo abbonati) Link per visualizzare la scheda su IsiWeb: Clicca quiLink per visualizzare la citazioni su IsiWeb: Clicca qui