Lieb-Robinson Bound and Almost-Linear Light Cone in Interacting Boson Systems.
Lieb-Robinson Bound and Almost-Linear Light Cone in Interacting Boson Systems.
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DOI：
10.1103/physrevlett.127.070403
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发表时间：
2021-03
影响因子：
8.6
通讯作者：
Tomotaka Kuwahara;Keiji Saito
中科院分区：
文献类型：
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作者：
Tomotaka Kuwahara;Keiji Saito
在这项工作中，我们研究了局部扰动在与玻色-哈伯德型哈密顿量相互作用的玻色子系统中传播的速度。一般来说，这些系统具有无限的局部能量，并且可能发生任意快速的信息传播。我们关注一种特定的但实验上自然的情况，其中在未受扰动的初始状态下任何一个位置的玻色子数量大约是有限的。我们严格证明了几乎线性信息传播光锥的存在，从而建立了李布-罗宾逊界限：波前最多增长为 t log^{2}(t)。我们证明了带隙基态的聚类定理，并研究了经典模拟一维失超动力学的时间复杂度，这是一个具有重大实际意义的主题。
In this work, we investigate how quickly local perturbations propagate in interacting boson systems with Bose-Hubbard-type Hamiltonians. In general, these systems have unbounded local energies, and arbitrarily fast information propagation may occur. We focus on a specific but experimentally natural situation in which the number of bosons at any one site in the unperturbed initial state is approximately limited. We rigorously prove the existence of an almost-linear information-propagation light cone, thus establishing a Lieb-Robinson bound: the wave front grows at most as t log^{2}(t). We prove the clustering theorem for gapped ground states and study the time complexity of classically simulating one-dimensional quench dynamics, a topic of great practical interest.