Stochastically bundled dissipators for the quantum master equation

• URL: http://arxiv.org/abs/2408.12507v2
• Date: Sat, 25 Jan 2025 17:11:30 GMT
• Title: Stochastically bundled dissipators for the quantum master equation
• Authors: Sayak Adhikari, Roi Baer,
• Abstract summary: This article introduces a large representation of the Lindblad dissipator that addresses this challenge by bundling the Lindblad operators. numerical experiments show that a small number of bundled operators can accurately capture the system's dynamics.
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• Abstract: 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. 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.

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