论文标题
使用基于测量的量子反馈控制的平均场$ p $ spin模型的复杂动力学模拟
Simulation of complex dynamics of mean-field $p$-spin models using measurement-based quantum feedback control
论文作者
论文摘要
我们研究了一种使用量子测量和反馈[Muñoz-Arias等，Phys。莱特牧师。 124，110503（2020）]到一类称为$ p $ -spin Hamiltonians的广泛的多体模型，该模型在具有$ p $ body互动的完全连接的图上描述了类似Ising的模型。该方法通过将集体自旋的组件的非注射式测量与以测量结果为条件的全局旋转相结合，模拟了热力学极限中所需的平均场动力学。我们应用此协议来模拟$ p $ -spin hamiltonians的动力学，并演示我们的协议可以轻松访问均值野外制度的不同方面。我们研究应用程序，包括动态相变的特性以及在集体自旋的绝热动力学中的自发对称性破坏的出现，以换取参数$ p $的不同值。我们还展示了如何使用这种方法来连续地研究动力学中的量子到古典跃迁，这是系统大小的函数。
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.
