Adhikari Sayak, Baer Roi
Fritz Haber Center for Molecular Dynamics and Institute of Chemistry, The Hebrew University of Jerusalem, Jerusalem 9190401, Israel.
J Chem Theory Comput. 2025 Apr 22;21(8):4142-4150. doi: 10.1021/acs.jctc.5c00145. Epub 2025 Apr 2.
The Lindblad master equation is a fundamental tool for describing the evolution of open quantum systems, but its computational complexity poses a significant challenge, especially for large systems. This article introduces a stochastic representation of the Lindblad dissipator that addresses this challenge by bundling the Lindblad operators. The stochastic dissipator maintains the Lindblad form, ensuring completely positive and trace-preserving dynamics. We demonstrate the effectiveness of this method by considering a Morse oscillator coupled to a spin bath. Our numerical experiments show that a small number of stochastically bundled operators can accurately capture the system's dynamics, even when the Hilbert space dimension is large. This method offers a new perspective on open quantum systems and provides a computationally efficient way to simulate their dynamics.
林德布拉德主方程是描述开放量子系统演化的基本工具，但其计算复杂性带来了重大挑战，尤其是对于大型系统。本文介绍了一种林德布拉德耗散算符的随机表示，通过捆绑林德布拉德算符来应对这一挑战。随机耗散算符保持林德布拉德形式，确保动力学完全正定且迹保持。我们通过考虑一个与自旋浴耦合的莫尔斯振子来证明该方法的有效性。我们的数值实验表明，即使希尔伯特空间维度很大，少量随机捆绑的算符也能准确捕捉系统的动力学。该方法为开放量子系统提供了新的视角，并提供了一种计算效率高的方法来模拟其动力学。
