Collision of one-dimensional fermion clusters
Collision of one-dimensional fermion clusters
复制标题
一维费米子簇的碰撞
DOI：
10.1103/physreva.86.033621
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
川上則雄
中科院分区：
文献类型：
--
作者：
尾崎順一;手塚真樹;川上則雄
我们研究了一维费米系统中的团簇-团簇碰撞，特别强调碰撞动力学的非平凡量子效应。采用Fermi-Hubbard模型和含时密度矩阵重整化群方法，模拟了两个不同自旋态的费米子团簇在接触相互作用下的碰撞动力学。结果表明，随着相互作用强度的增加，量子效应变得非常强，导致透射率比半经典近似所预期的要高得多。我们提出了一个简洁的模型作为Bethe模型的应用，它揭示了量子效应的起源，也清楚地解释了模拟结果的整体性质。该模型提供了一个直观的角度与接触相互作用的碰撞动力学。一些潜在的应用，如重复碰撞，解决。
We study cluster-cluster collisions in one-dimensional Fermi systems with particular emphasis on the nontrivial quantum effects of the collision dynamics. We adopt the Fermi-Hubbard model and the time-dependent density-matrix renormalization-group method to simulate collision dynamics between two fermion clusters of different spin states with contact interaction. It is elucidated that the quantum effects become extremely strong with the interaction strength, leading to the transmittance being much more enhanced than expected from the semiclassical approximation. We propose a concise model as an application of the Bethe ansatz, which unveils the origin of the quantum effects and also explains the overall properties of the simulation results clearly. This model provides an intuitive perspective of the collision dynamics with contact interaction. Some potential applications, such as repeated collisions, are addressed.