Quantum Multi-Particle Systems Adaptive Hamiltonian Description
Jincheng Zhang
Abstract
Quantum multi-particle systems pose significant challenges in modeling and understanding complex phenomena. Traditional Hamiltonian approaches often struggle to accurately capture the dynamic behavior of such systems, particularly when interactions are variable. This paper introduces a novel approach, utilizing an adaptive Hamiltonian description, to address this challenge. We formulate a new framework for dynamically adjusting the Hamiltonian based on the relative strengths and directions of interactions, resulting in a more efficient and accurate representation of the system's dynamics. This design enhances our ability to predict and control the behavior of quantum multi-particle systems, offering a significant step towards improved simulation and analysis.