Semiclassical dynamical localization and the multiplicative semiclassical propagator

Details Semiclassical dynamical localization and the multiplicative semiclassical propagator Semiclassical dynamical localization and the multiplicative semiclassical propagator

1998-09-04

arxiv.org/abs/chao-dyn/9809007v1

Phys. Rev. Lett. 81, 3371 (1998).

Physics

Condensed Matter

4 pages, 3 figures; to appear in Physical Review Letters

Scientific paper

10.1103/PhysRevLett.81.3371

We describe an iterative approach to computing long-time semiclassical dynamics in the presence of chaos, which eliminates the need for summing over an exponentially large number of classical paths, and has good convergence properties even beyond the Heisenberg time. Long-time semiclassical properties can be compared with those of the full quantum system. The method is used to demonstrate semiclassical dynamical localization in one-dimensional classically diffusive systems, showing that interference between classical paths is a sufficient mechanism for limiting long-time phase space exploration.

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