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| Hauptverfasser: | , , , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Online-Zugang: | https://arxiv.org/abs/2410.13646 |
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| _version_ | 1866915556265820160 |
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| author | Mortimer, Luke Farina, Donato Di Bello, Grazia Jansen, David Leitherer, Andreas Mujal, Pere Acín, Antonio |
| author_facet | Mortimer, Luke Farina, Donato Di Bello, Grazia Jansen, David Leitherer, Andreas Mujal, Pere Acín, Antonio |
| contents | Estimating the steady-state properties of open many-body quantum systems is a fundamental challenge in quantum science and technologies. In this work, we present a scalable approach based on semi-definite programming to derive certified bounds on the expectation value of an arbitrary observable in the steady state of Lindbladian dynamics. We illustrate our method on a series of many-body systems, including paradigmatic spin-1/2 chains and two-dimensional ladders, considering both equilibrium and nonequilibrium steady-states. We benchmark our method with state-of-the-art tensor-network approaches that, unlike our method, are only able to provide estimates, with no guarantee, on steady-state quantities. For the tested models, only modest computational effort is needed to obtain certified non-trivial bounds for system sizes intractable by exact methods. Our method introduces the first general numerical tool for bounding steady-state properties of open quantum dynamics, opening a new avenue in the understanding of stable configurations in many-body systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_13646 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Certifying steady-state properties of open quantum systems Mortimer, Luke Farina, Donato Di Bello, Grazia Jansen, David Leitherer, Andreas Mujal, Pere Acín, Antonio Quantum Physics Estimating the steady-state properties of open many-body quantum systems is a fundamental challenge in quantum science and technologies. In this work, we present a scalable approach based on semi-definite programming to derive certified bounds on the expectation value of an arbitrary observable in the steady state of Lindbladian dynamics. We illustrate our method on a series of many-body systems, including paradigmatic spin-1/2 chains and two-dimensional ladders, considering both equilibrium and nonequilibrium steady-states. We benchmark our method with state-of-the-art tensor-network approaches that, unlike our method, are only able to provide estimates, with no guarantee, on steady-state quantities. For the tested models, only modest computational effort is needed to obtain certified non-trivial bounds for system sizes intractable by exact methods. Our method introduces the first general numerical tool for bounding steady-state properties of open quantum dynamics, opening a new avenue in the understanding of stable configurations in many-body systems. |
| title | Certifying steady-state properties of open quantum systems |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2410.13646 |