Quantum master equation for many-body systems based on the Lieb-Robinson bound
Koki Shiraishi, Masaya Nakagawa, Takashi Mori, Masahito Ueda · Physical review. B./Physical review. B · 2025
The authors derive here a local quantum master equation for many-body open quantum systems on the basis of the Lieb-Robinson bound, which places a fundamental upper bound on the propagation speed of correlations of observables. This approach clarifies the conditions under which local quantum master equations are valid and provides a microscopic justification for their use in strongly interacting systems. Numerical simulations on a one-dimensional fermionic chain demonstrate the accuracy of the derived equation.