Effective Modeling of Open Quantum Systems by Low-rank Discretization of Structured Environments
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913552427646976 |
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| author | Takahashi, Hideaki Borrelli, Raffaele |
| author_facet | Takahashi, Hideaki Borrelli, Raffaele |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_18880 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Effective Modeling of Open Quantum Systems by Low-rank Discretization of Structured Environments Takahashi, Hideaki Borrelli, Raffaele Quantum Physics 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. |
| title | Effective Modeling of Open Quantum Systems by Low-rank Discretization of Structured Environments |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2407.18880 |