Improving the efficiency of open-quantum-system simulations using matrix product states in the interaction picture Article Swipe
Hanggai Nuomin
,
David N. Beratan
,
Peng Zhang
·
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.1103/physreva.105.032406
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.1103/physreva.105.032406
Modeling open quantum systems -- quantum systems coupled to a bath -- is of\nvalue in condensed matter theory, cavity quantum electrodynamics, nanosciences\nand biophysics. The real-time simulation of open quantum systems was advanced\nsignificantly by the recent development of chain mapping techniques and the use\nof matrix product states that exploit the intrinsic entanglement structure in\nopen quantum systems. The computational cost of simulating open quantum\nsystems, however, remains high when the bath is excited to high-lying quantum\nstates. We develop an approach to reduce the computational costs in such cases.\nThe interaction representation for the open quantum system is used to\ndistribute excitations among the bath degrees of freedom so that the occupation\nof each bath oscillator is ensured to be low. The interaction picture also\ncauses the matrix dimensions to be much smaller in a matrix product state of a\nchain-mapped open quantum system than in the Schr\\"odinger picture. Using the\ninteraction representation accelerates the calculations by 1-2 orders of\nmagnitude over existing matrix-product-state method. In the regime of strong\nsystem-bath coupling and high temperatures, the speedup can be as large as 3\norders of magnitude. The approach developed here is especially promising to\nsimulate the dynamics of open quantum systems in the high-temperature and\nstrong-coupling regimes.\n
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- Language
- en
- Landing Page
- https://doi.org/10.1103/physreva.105.032406
- OA Status
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https://openalex.org/W4214927921Canonical identifier for this work in OpenAlex
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https://doi.org/10.1103/physreva.105.032406Digital Object Identifier
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Improving the efficiency of open-quantum-system simulations using matrix product states in the interaction pictureWork title
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2022Year of publication
- Publication date
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2022-03-03Full publication date if available
- Authors
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Hanggai Nuomin, David N. Beratan, Peng ZhangList of authors in order
- Landing page
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https://doi.org/10.1103/physreva.105.032406Publisher landing page
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YesWhether a free full text is available
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greenOpen access status per OpenAlex
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https://arxiv.org/pdf/2111.14308Direct OA link when available
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Quantum, Product (mathematics), Matrix (chemical analysis), Matrix multiplication, Computer science, Physics, Quantum mechanics, Mathematics, Materials science, Geometry, Composite materialTop concepts (fields/topics) attached by OpenAlex
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15Total citation count in OpenAlex
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2025: 3, 2024: 5, 2023: 6, 2022: 1Per-year citation counts (last 5 years)
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59Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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