Rabi transport and the other finite-size effects in one-dimensional discrete-time topological quantum walk
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866912646632046592 |
|---|---|
| author | Grudka, Andrzej Karczewski, Marcin Kurzyński, Paweł Polak, Tomasz P. Wójcik, Jan Wójcik, Antoni |
| author_facet | Grudka, Andrzej Karczewski, Marcin Kurzyński, Paweł Polak, Tomasz P. Wójcik, Jan Wójcik, Antoni |
| contents | This paper investigates Rabi transport and finite-size effects in one-dimensional discrete-time topological quantum walks. We demonstrate the emergence of localized states at boundaries between topologically distinct phases and analyze how finite system sizes influence quantum walk dynamics. For finite lattices, we show that topology induces localized and bilocalized states, leading to Rabi-like transport as a result of degeneracy breaking due to finite-size effects. The study bridges the gap between topological protection and size-dependent dynamics, revealing transitions from ballistic motion to localized or oscillatory behavior based on the system's topological properties. Analytical and numerical methods are employed to explore the spectra and dynamics of quantum walks, highlighting the robustness of Rabi transport against disorder. The findings provide insights into controlled quantum transport and potential applications in quantum information processing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_19523 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Rabi transport and the other finite-size effects in one-dimensional discrete-time topological quantum walk Grudka, Andrzej Karczewski, Marcin Kurzyński, Paweł Polak, Tomasz P. Wójcik, Jan Wójcik, Antoni Quantum Physics This paper investigates Rabi transport and finite-size effects in one-dimensional discrete-time topological quantum walks. We demonstrate the emergence of localized states at boundaries between topologically distinct phases and analyze how finite system sizes influence quantum walk dynamics. For finite lattices, we show that topology induces localized and bilocalized states, leading to Rabi-like transport as a result of degeneracy breaking due to finite-size effects. The study bridges the gap between topological protection and size-dependent dynamics, revealing transitions from ballistic motion to localized or oscillatory behavior based on the system's topological properties. Analytical and numerical methods are employed to explore the spectra and dynamics of quantum walks, highlighting the robustness of Rabi transport against disorder. The findings provide insights into controlled quantum transport and potential applications in quantum information processing. |
| title | Rabi transport and the other finite-size effects in one-dimensional discrete-time topological quantum walk |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2506.19523 |