Stationary Hamiltonian transport with dc bias
Stationary Hamiltonian transport with dc bias
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具有直流偏置的稳态哈密顿输运
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
P. Hänggi
中科院分区：
文献类型：
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作者：
S. Denisov;S. Flach;P. Hänggi
对称周期势中粒子在时间-周期场作用下的动力学特性是由规则分量和混沌分量组成的混合相空间。一个额外的外加直流偏置将混沌流形变换成具有无限加速度的区域。我们研究了最初嵌入到混沌流形中的持久不变流形(正则岛、周期轨道和坎托利流形)所产生的定常输运。我们证明了运输岛屿的存在和出现。加速域的暂态动力学将快速混沌运动与附着在不变子流形附近的弹道轨迹分开。激光诱导光学晶格中冷原子的实验研究非常适合测试和观察我们的发现。
The dynamics of a particle in a symmetric periodic potential under the influence of a time-periodic field is characterized by a mixed phase space with regular and chaotic components. An additional external dc bias transforms the chaotic manifold into a domain with unbounded acceleration. We study the stationary transport which originates from the persisting invariant manifolds (regular islands, periodic orbits, and cantori) that are initially embedded in the chaotic manifold. We prove persistence and emergence of transporting islands. The transient dynamics of the accelerated domain separates fast chaotic motion from ballistic type trajectories which stick to the vicinity of the invariant submanifold. Experimental studies with cold atoms in laser-induced optical lattices are ideally suited for testing and observing our findings.