1999/11/29 by X. Leyronas, P. G. Silvestrov, C. W. J. Beenakker
Computer Science · Physics and Astronomy · #Cellular Automata and Applications #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevlett.84.3414
published as Phys.Rev.Lett. 84, 3414 (2000) · 4 pages including 2 figures
arxiv created 1999/11/29 · openalex publication_date 2000/04/10 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The chaotic mixing by random two-body interactions of many-electron Fock states in a confined geometry is investigated. Two regimes are distinguished in the dependence of the typical number of Fock states that are mixed into an eigenstate on the interaction strength V, the excitation energy varepsilon, and the level spacing Delta. In both regimes the number is large (indicating delocalization in Fock space). However, only the large- V regime is described by the golden rule (indicating chaotic mixing). The crossover region is characterized by a maximum in a scaling function that becomes more pronounced with increasing excitation energy. The scaling parameter that governs the transition is (varepsilonV/Delta(2))ln(Delta/V).