论文标题
通过重复测量和较大的时间限制从晶格费米昂系统中出现随机过程
Stochastic process emerged from lattice fermion systems by repeated measurements and large-time limit
论文作者
论文摘要
众所周知，在量子理论中，测量可能抑制系统的哈密顿动力学。一个著名的例子是“量子zeno效应”。这种现象是，如果人们多次重复测量值，询问该系统是否在最初的时间与固定测量时间处于同一状态，那么生存概率就会通过将测量区间的时间限制为0。众所周知，如果人们在适当的缩放下进行测量时间无限，则不会出现“量子zeno效应”，并且会出现哈密顿动力学的效果（Facchi and Ligabo 2017）。在本文中，我们考虑了长时间重复测量和量子动力学在缩放范围中的许多身体系统的动力学，其中测量和动力学的效果是平衡的。我们表明，从有限晶格费米昂系统中粒子的构型的重复测量和长期测量获得了称为对称简单排除过程（SSEP）的随机过程。新兴的随机过程与系统的潜在哈密顿量的潜在和相互作用无关。
It is known that in quantum theory, measurements may suppress Hamiltonian dynamics of a system. A famous example is the `Quantum Zeno Effect'. This is the phenomena that if one repeats the measurements many times asking whether the system is in the same state as the one at the initial time until the fixed measurement time, then survival probability tends to 1 by taking the measurement interval to 0. This is the case for fixed measurement time. It is known that if one takes measurement time infinite at appropriate scaling, `Quantum Zeno Effect' does not occur and the effect of Hamiltonian dynamics emerges (Facchi and Ligabo 2017). In the present paper, we consider the long time repeated measurements and the dynamics of quantum many body systems in the scaling where the effect of measurements and dynamics are balanced. We show that the stochastic process, called symmetric simple exclusion process (SSEP), is obtained from the repeated and long time measurements of configuration of particles in finite lattice fermion systems. The emerging stochastic process is independent of potential and interaction of the underlying Hamiltonian of the system.
