2020年5月27日
Error bounds for constrained dynamics in gapped quantum systems: Rigorous results and generalizations
Physical Review A
- ,
- ,
- ,
- 巻
- 101
- 号
- 5
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1103/physreva.101.052122
- 出版者・発行元
- American Physical Society (APS)
In the accompanying letter [Gong et al., Phys. Rev. Lett. 124, 210606 (2020)], we introduced a universal error bound for constrained unitary dynamics within a well-gapped energy band of an isolated quantum system. Here, we provide the full details on the derivation of the bound. In addition, we generalize the result to isolated quantum many-body systems by employing the local Schrieffer-Wolff transformation, obtaining an error bound that grows polynomially in time. We also generalize the result to Markovian open quantum systems and quantitatively explain the quantum Zeno effect.
- リンク情報
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- DOI
- https://doi.org/10.1103/physreva.101.052122
- arXiv
- http://arxiv.org/abs/arXiv:2001.03421
- Web of Science
- https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000535667400003&DestApp=WOS_CPL
- URL
- https://link.aps.org/article/10.1103/PhysRevA.101.052122
- URL
- http://harvest.aps.org/v2/journals/articles/10.1103/PhysRevA.101.052122/fulltext
- ID情報
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- DOI : 10.1103/physreva.101.052122
- ISSN : 2469-9926
- eISSN : 2469-9934
- ORCIDのPut Code : 72242375
- arXiv ID : arXiv:2001.03421
- Web of Science ID : WOS:000535667400003