论文标题
用于测量引起的相变的广义林布拉德主方程
Generalized Lindblad Master Equation for Measurement-Induced Phase Transition
论文作者
论文摘要
测量引起的相变（MIPT）是当系统在单一进化下以及局部测量随后进行后选择后进行演化时发生的。我们提出了lindblad master方程的广义版本作为连续方程，以描述MIPT中第二个rényi熵的动力学。该广义的Lindblad方程明确考虑了MIPT中的选择后，这被认为是等式中的Einstein-Podolsky-Rosen（EPR）状态投影。同样，这个广义的Lindblad方程保留了密度矩阵的遗传学，单位痕迹和正面确定性。我们进一步使用硬核Bose-Hubbard模型作为一个具体示例，以数字确认我们的广义Lindblad方程适用于描述MIPT。
The measurement-induced phase transition (MIPT) occurs when the system is evolving under unitary evolution together with local measurements followed by post-selection. We propose a generalized version of the Lindblad master equation as a continuous equation, to describe the dynamics of second Rényi entropy in the MIPT. This generalized Lindblad equation explicitly takes into account the post-selection in the MIPT, which is realized as the Einstein-Podolsky-Rosen (EPR) state projection in the equation. Also, this generalized Lindblad equation preserves the Hermitian, unit trace, and positive definiteness of the density matrix. We further use the hard-core Bose-Hubbard model as a concrete example to numerically confirm that our generalized Lindblad equation is applicable to describing the MIPT.
