Effective Modeling of Open Quantum Systems by Low-rank Discretization of Structured Environments

• URL: http://arxiv.org/abs/2407.18880v1
• Date: Fri, 26 Jul 2024 17:27:09 GMT
• Title: Effective Modeling of Open Quantum Systems by Low-rank Discretization of Structured Environments
• Authors: Hideaki Takahashi, Raffaele Borrelli,
• Abstract summary: We pioneer a new strategy to create discrete low-rank models of the system-environment interaction. We demonstrate the effectiveness of our methodology by combining it with tensor-network methodologies. The new modeling framework sets the basis for a leap in the analysis of open quantum systems.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-sa/4.0/
• Abstract: The accurate description of the interaction of a quantum system with a its environment is a challenging problem ubiquitous across all areas of physics, and lies at the foundation of quantum mechanics theory. Here we pioneer a new strategy to create discrete low-rank models of the system-environment interaction, by exploiting the frequency and time domain information encoded in the fluctuation-dissipation relation connecting the system-bath correlation function and the spectral density. We demonstrate the effectiveness of our methodology by combining it with tensor-network methodologies and simulating the quantum dynamics of a complex excitonic systems in a highly structured bosonic environment. The new modeling framework sets the basis for a leap in the analysis of open quantum systems providing controlled accuracy at significantly reduced computational costs, with benefits in all connected research areas.

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