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arXiv 2004.11412quant-ph
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基于测量的量子反馈控制模拟平均场$p$ -自旋模型的复杂动力学

Simulation of complex dynamics of mean-field $p$-spin models using measurement-based quantum feedback control

Manuel H. Muñoz-Arias, Ivan H. Deutsch, Poul S. Jessen, Pablo M. Poggi

备注：
16 pages, 7 figures
发表信息：
Phys. Rev. A 102, 022610 (2020)
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摘要：

我们研究了使用量子测量和反馈模拟多体自旋系统非线性动力学的新方法的应用[Muñoz-Arias等人，物理修订信函124，110503（2020）]到一个广泛的多体模型，称为$p$ -自旋哈密顿算子，它描述了一个完全连接的图上的类伊辛模型与$p$ -体相互作用。该方法模拟所需的平均场动力学的热力学极限相结合的集体自旋的一个组成部分的非投影测量与全球旋转的测量结果的条件。我们应用该协议来模拟动态的$p$自旋哈密顿和演示如何不同方面的临界在平均场制度是很容易访问我们的协议。我们研究的应用，包括动力学相变的性质和出现的自发对称性破缺的绝热动力学的集体自旋的参数$p$的不同值。我们还演示了如何可以采用这种方法来研究量子到经典的转变的动力学连续作为系统大小的函数。

英文摘要：

We study the application of a new method for simulating nonlinear dynamics of many-body spin systems using quantum measurement and feedback [Muñoz-Arias et al., Phys. Rev. Lett. 124, 110503 (2020)] to a broad class of many-body models known as $p$-spin Hamiltonians, which describe Ising-like models on a completely connected graph with $p$-body interactions. The method simulates the desired mean field dynamics in the thermodynamic limit by combining nonprojective measurements of a component of the collective spin with a global rotation conditioned on the measurement outcome. We apply this protocol to simulate the dynamics of the $p$-spin Hamiltonians and demonstrate how different aspects of criticality in the mean-field regime are readily accessible with our protocol. We study applications including properties of dynamical phase transitions and the emergence of spontaneous symmetry breaking in the adiabatic dynamics of the collective spin for different values of the parameter $p$. We also demonstrate how this method can be employed to study the quantum-to-classical transition in the dynamics continuously as a function of system size.

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