Milovanov Alexander V, Iomin Alexander
ENEA National Laboratory, Centro Ricerche Frascati, I-00044 Frascati, Rome, Italy.
Space Research Institute, Russian Academy of Sciences, 117997 Moscow, Russia.
Phys Rev E. 2017 Apr;95(4-1):042142. doi: 10.1103/PhysRevE.95.042142. Epub 2017 Apr 28.
The four-wave interaction in quantum nonlinear Schrödinger lattices with disorder is shown to destroy the Anderson localization of waves, giving rise to unlimited spreading of the nonlinear field to large distances. Moreover, the process is not thresholded in the quantum domain, contrary to its "classical" counterpart, and leads to an accelerated spreading of the subdiffusive type, with the dispersion 〈(Δn)^{2}〉∼t^{1/2} for t→+∞. The results, presented here, shed light on the origin of subdiffusion in systems with a broad distribution of relaxation times.
研究表明，具有无序性的量子非线性薛定谔晶格中的四波相互作用会破坏波的安德森局域化，导致非线性场无限制地向大距离扩展。此外，与“经典”情况相反，该过程在量子领域没有阈值，并导致亚扩散类型的加速扩展，对于(t→ +∞)，色散(〈(Δn)^{2}〉∼t^{1/2})。本文给出的结果揭示了具有广泛弛豫时间分布的系统中亚扩散的起源。
