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Stability of topologically protected edge states in nonlinear quantum walks: additional bifurcations unique to Floquet systems
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| Title: | Stability of topologically protected edge states in nonlinear quantum walks: additional bifurcations unique to Floquet systems |
| Authors: | Mochizuki, Ken Browse this author | | Kawakami, Norio Browse this author | | Obuse, Hideaki Browse this author →KAKEN DB |
| Keywords: | topologically protected edge states | | periodically driven systems (Floquet systems) | | nonlinear effects | | bifurcations | | quantum walks |
| Issue Date: | 28-Feb-2020 |
| Publisher: | IOP Publishing |
| Journal Title: | Journal of physics. A, Mathematical and theoretical |
| Volume: | 53 |
| Issue: | 8 |
| Start Page: | 085702 |
| Publisher DOI: | 10.1088/1751-8121/ab6514 |
| Abstract: | Recently, effects of nonlinearity on topologically nontrivial systems have attracted attention and the stability of topologically protected edge states has been studied for a quantum walk with nonlinear effects, which is akin to time-periodically driven systems (Floquet systems). In the previous work, it has been found that the edge states can be stable attractors or unstable repellers depending on their intrinsic topological property, while the stability is not affected by the strength of nonlinearity. In the present work, we find additional bifurcations at which edge states change from stable attractors to unstable repellers with increasing the strength of nonlinearity in nonlinear quantum walks, for the first time. The new bifurcations are unique to Floquet systems, since we take dynamical properties of Floquet systems into consideration by directly applying the time-evolution operator of the quantum walks to the linear stability analysis. Our results shed new light on nonlinear effects on topological edge states in Floquet systems. |
| Rights: | This is an author-created, un-copyedited version of an article accepted for publication/published in Journal of physics. A, Mathematical and theoretical. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at https://doi.org/10.1088/1751-8121/ab6514. | | https://creativecommons.org/licenses/by-nc-nd/4.0/ |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/80505 |
| Appears in Collections: | 工学院・工学研究院 (Graduate School of Engineering / Faculty of Engineering) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 小布施 秀明
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