Relationship between classical motion in random media and quantum localization

Year: 1986

Authors: Schneider T., Soerensen M.P., Politi A., Zannetti M.

Autors Affiliation: 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.

Journal/Review: PHYSICAL REVIEW LETTERS

Volume: 56 (22)      Pages from: 2341  to: 2343

KeyWords: classical motion; quantum system,;
DOI: 10.1103/PhysRevLett.56.2341

Citations: 21
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