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arXiv 1907.02474cond-mat.str-el
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量子自旋链中相互作用准粒子的实时散射

Real-time scattering of interacting quasiparticles in quantum spin chains

Maarten Van Damme, Laurens Vanderstraeten, Jacopo De Nardis, Jutho Haegeman, Frank Verstraete

摘要:

我们开发了一种基于张量网络的方法,在强关联量子自旋链上产生局域单粒子激发。类似于创建局域化的Wannier模式的问题,这是通过优化矩阵乘积态上的动量激发的规范自由度来实现的。相应的波包几乎无色散地传播。利用含时变分原理对两个波包进行散射,并从碰撞数据中提取相移。我们还研究了波包入射到杂质上的反射和透射系数。

英文摘要:

We develop a method based on tensor networks to create localized single particle excitations on top of strongly-correlated quantum spin chains. In analogy to the problem of creating localized Wannier modes, this is achieved by optimizing the gauge freedom of momentum excitations on top of matrix product states. The corresponding wavepackets propagate almost dispersionless. The time-dependent variational principle is used to scatter two such wavepackets, and we extract the phase shift from the collision data. We also study reflection and transmission coefficients of a wavepacket impinging on an impurity.

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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