1994/05/03 by P. Leboeuf, P. Lebœuf, Anne Mouchet +1 · 2 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum chaos and dynamical systems #Scientific Research and Discoveries #chao-dyn #cond-mat #nlin.CD
paper · pdf · doi:10.1103/physrevlett.73.1360
11 pages, Latex, figures on request to the author (to be sent by fax)
arxiv created 1994/05/03 · openalex publication_date 1994/09/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We compute the dispersion laws of chaotic periodic systems using the semiclassical periodic orbit theory to approximate the trace of the powers of the evolution operator. Aside from the usual real trajectories, we also include complex orbits. These turn out to be fundamental for a proper description of the band structure since they incorporate conduction processes through tunneling mechanisms. The results obtained, illustrated with the kicked-Harper model, are in excellent agreement with numerical simulations, even in the extreme quantum regime.