非线性Klein Gordon晶格中的量子呼吸子
Quantum breathers in a nonlinear Klein Gordon lattice
摘要：
数值计算了非线性Klein-Gordon晶格的量子模[L. Proville，Phys. Rev. B，vol.71，104306（2005）]。现场的非线性已被发现，导致声子配对，因此一些声子束缚态。在本文中，这些状态的时间相关的Wannier变换显示出呼吸者般的行为，即，它是空间局部化的和时间周期性的。晶格可以维持这样的呼吸状态的典型时间作为一个功能的捕获能量和晶格间耦合的研究。
英文摘要：
The quantum modes of a nonlinear Klein Gordon lattice have been computed numerically [L. Proville, Phys. Rev. B, vol. 71, 104306 (2005)]. The on-site nonlinearity has been found to lead to a phonon pairing and consequently some phonon bound states. In the present paper, the time dependent Wannier transform of these states is shown to exhibit a breather-like behavior, i.e., it is spatially localized and time-periodic. The typical time the lattice may sustain such breather states is studied as a function of the trapped energy and the intersite lattice coupling.
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