Particle number conservation in quantum many-body simulations with matrix product operators
Particle number conservation in quantum many-body simulations with matrix product operators
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DOI：
10.1088/1742-5468/2011/11/p11020
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发表时间：
2011-04
期刊：
影响因子：
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通讯作者：
D. Muth
中科院分区：
文献类型：
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作者：
D. Muth
将守恒定律显式地转化为矩阵乘积态（MPS），可以大大减少量子多体系统的数值模拟所需的资源。我们将在这里讨论在什么程度上可以使用这个概念在模拟中的动态演变的实体矩阵产品运营商（MPO）。与直觉相反的是，通过牺牲除了单个对称扇区之外的所有对称扇区的信息来获得速度的期望并不是在所有情况下都能实现。事实证明，通常由固定粒子数的全局约束所施加的纠缠是限制因素。
Incorporating conservation laws explicitly into matrix product states (MPSs) has proven to make numerical simulations of quantum many-body systems much less resource consuming. We will discuss here to what extent this concept can be used in simulation where the dynamically evolving entities are matrix product operators (MPOs). Quite counter-intuitively the expectation of gaining in speed by sacrificing information about all but a single symmetry sector is not in all cases fulfilled. It turns out that often the entanglement imposed by the global constraint of fixed particle number is the limiting factor.