https://doi.org/10.1140/epjp/s13360-022-03424-w
Regular Article
No-go rules for multitime Landau–Zener models
School of Physics and Electronics, Hunan University, 410082, Changsha, China
Received:
28
December
2021
Accepted:
23
October
2022
Published online:
1
November
2022
Multitime Landau–Zener (MTLZ) model is a class of exactly solvable quantum many-body models which is multistate and multitime generalization of the two-state Landau–Zener model. Currently discovered MTLZ models include the “hypercubes”, the “fans” and their direct product models. In this work, we prove two no-go rules, named the “no 
” rule and the “no 1221” rule, which forbid the existence of exact solutions for models with certain structures of interactions. We further apply these rules to show that for models with no more than 9 states, besides the models mentioned above there are no other MTLZ models. We also propose a scheme to systematically classify cases that could possibly host MTLZ models. Our work could serve as a guideline to search for new exactly solvable models within the MTLZ class.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
