A Quantum Monte Carlo Algorithm Realizing an Intrinsic Relaxation
A Quantum Monte Carlo Algorithm Realizing an Intrinsic Relaxation
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一种实现内在松弛的量子蒙特卡罗算法
DOI：
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
Yoshiyuki Ito
中科院分区：
文献类型：
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作者：
Tota Nakamura;Yoshiyuki Ito
我们提出了一种新的量子蒙特卡罗算法，该算法实现了原始量子系统固有的松弛。蒙特卡洛动力学满足动态标度关系τ∼Σ z 并且与Trotter 数无关。 Trotter 数的有限性表现为有限尺寸效应。还制定了该算法的无限 Trotter 数版本，使我们能够观察到原始系统的真正松弛。该算法的策略是传统世界线局部翻转和现代集群循环翻转之间的折衷。它是实空间方向的局部翻转，Trotter方向的簇翻转。新算法使用二维横向场伊辛模型进行了测试。获得准确的相图。
We propose a new quantum Monte Carlo algorithm that realizes a relaxation intrinsic to an original quantum system. The Monte Carlo dynamics satisfies the dynamic scaling relation τ∼ξ z and is independent of the Trotter number. The finiteness of the Trotter number appears as the finite-size effect. An infinite Trotter number version of the algorithm, which enables us to observe a true relaxation of the original system, is also formulated. The strategy of the algorithm is a compromise between a conventional worldline local flip and a modern cluster loop flip. It is a local flip in the real-space direction and is a cluster flip in the Trotter direction. The new algorithm is tested using the transverse-field Ising model in two dimensions. An accurate phase diagram is obtained.