Shortcuts to adiabatic classical spin dynamics mimicking quantum annealing
Shortcuts to adiabatic classical spin dynamics mimicking quantum annealing
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DOI：
10.1103/physreve.98.032136
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发表时间：
2018-06
影响因子：
2.4
通讯作者：
Takuya Hatomura;Takashi Mori
中科院分区：
文献类型：
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作者：
Takuya Hatomura;Takashi Mori
我们提出了一种简单的构造方法，可以在不知道跟踪的静止状态的情况下，在经典自旋系统中跟踪绝热性瞬时静止状态。在我们的构造中，反绝热驱动的控制场由状态相关的磁场构成，可以借助数值计算轻松确定。我们构造的简便性是一个显着的特征，因为在多体系统中确定所需反绝热项的显式形式通常是一项艰巨的任务。我们还认为，我们的方法可以通过在依赖时间的哈密顿量下考虑经典自旋动力学来解决组合优化问题，该哈密顿量模拟了量子退火的过程。
We propose a simple construction of shortcuts to adiabaticity tracking instantaneous stationary states in classical spin systems without knowing tracked stationary states. In our construction, control fields of counter-diabatic driving are constituted by state-dependent magnetic fields, which can be easily determined with an aid of numerical calculations. Easiness of our construction is a remarkable feature since it is usually a hard task to determine explicit form of required counter-diabatic terms in many-body systems. We also argue that our method can be applied to solve combinatorial optimization problems by considering classical spin dynamics under a time-dependent Hamiltonian, which mimics the procedure of quantum annealing.