AI 中文总结
研究开放量子多体系统马尔可夫动力学，提出将环境建模为主系统副本并通过单调衰减耦合构造约化密度矩阵的方法，能直接产生精确解，无需昂贵对角化且验证有效，为模拟相关演化提供有力工具。
AI 中文摘要
开放量子多体系统的马尔可夫动力学通常由林德布拉德主方程支配。由于希尔伯特空间的指数增长，获得玻色子和费米子系统的约化密度矩阵仍然是一个巨大的数值挑战。我们引入了一个计算效率高的框架，通过将环境建模为具有单调衰减耦合的主系统副本，强制单向能量流动来构造约化密度矩阵。我们的方法直接产生精确解，严格满足玻色子和费米子情况下的林德布拉德主方程，无需进行昂贵的刘维尔对角化。我们通过应用于典型模型验证了我们的方法，证明了在广泛参数范围内对耗散动力学的准确再现。这项工作为模拟马尔可夫开放系统演化提供了一个直接而强大的工具，可立即应用于多体物理中的量子输运和控制问题。
英文摘要
The Markovian dynamics of open quantum many-body systems are typically governed by the Lindblad master equation, yet obtaining the reduced density matrix for bosonic and fermionic systems remains a formidable numerical challenge due to the exponential growth of the Hilbert space. Here, we introduce a computationally efficient framework for constructing the reduced density matrix by modeling the environment as a copy of the primary system with a monotonically decaying coupling that enforces unidirectional energy flow. Our method directly yields exact solutions that rigorously satisfy the Lindblad master equation for both bosonic and fermionic cases, bypassing the need for costly Liouvillian diagonalization. We validate our approach through applications to paradigmatic models, demonstrating accurate reproduction of dissipative dynamics across a broad parameter regime. This work provides a straightforward and powerful tool for simulating Markovian open-system evolution, with immediate applicability to quantum transport and control problems in many-body physics.
Comments15 pages
