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arXiv 1609.02665cond-mat.mes-hall
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耗散对拓扑力学系统的影响

The effects of dissipation on topological mechanical systems

Ye Xiong, Tianxiang Wang, Peiqing Tong

摘要:

本文从理论上研究了机械振动晶格中类似于Chern绝缘体的拓扑力学系统的各向同性耗散效应。整体规范不变性在这个系统中仍然守恒,尽管它被量子对应物中的耗散破坏了。因此,该系统中的手征边缘态对强耗散是鲁棒的。耗散也导致本征态的阻尼分散。它将通过一个额外的有效力来修正波包的运动方程。在考虑了波矢空间的Berry曲率后,自由波包在实空间中的迹线应是弯曲的,从而佯攻打破牛顿第一定律。

英文摘要:

We theoretically study the effects of isotropic dissipation in a topological mechanical system which is an analogue of Chern insulator in mechanical vibrational lattice. The global gauge invariance is still conserved in this system albeit it is destroyed by the dissipation in the quantum counterpart. The chiral edge states in this system are therefore robust against strong dissipation. The dissipation also causes a dispersion of damping for the eigenstates. It will modify the equation of motion of a wave packet by an extra effective force. After taking into account the Berry curvature in the wave vector space, the trace of a free wave packet in the real space should be curved, feinting to break the Newton's first law.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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