论文标题
量子跳跃对非富米系统的影响
Effect of quantum jumps on non-Hermitian system
论文作者
论文摘要
非热系统的可能实现之一是基于开放量子系统，通过省略主方程中的量子跳跃项。在短时间内，这是一个很好的近似值，可以忽略量子跳跃的影响。但是，跳跃会影响系统的长时间动态，激励我们在这些研究中考虑跳跃。在本文中，通过将量子跳跃作为扰动，我们检查了量子跳跃对非富甲系统的影响。为此，我们首先得出有效的哈密顿量，以描述基于主方程的开放量子系统的动力学，然后将特征态和特征力扩展到量子跳跃中的第一和第二阶。最后，我们将理论应用于耗散性的两级系统和耗散的费米子超流体。证明并讨论了量子跳跃对动力学和非平衡相变的影响。
One among the possible realizations of non-Hermitian systems is based on open quantum systems by omitting quantum jumping terms in the master equation. This is a good approximation at short times where the effects of quantum jumps can be ignored. However, the jumps can affect the long time dynamics of the system, motivating us to take the jumps into account in these studies. In this paper, by treating the quantum jumps as perturbations, we examine the effect of the quantum jumps on the non-Hermitian system. For this purpose, we first derive an effective Hamiltonian to describe the dynamics of the open quantum system based on the master equation, then expand the eigenstates and eigenenergies up to the first and second order in the quantum jumps. Finally, we apply our theory to a dissipative two-level system and dissipative fermionic superfluids. The effect of quantum jump on the dynamics and the nonequilibrium phase transition is demonstrated and discussed.
