Details
| Original language | English |
|---|---|
| Article number | 032329 |
| Pages (from-to) | 032329 |
| Number of pages | 1 |
| Journal | Phys. Rev. A |
| Volume | 93 |
| Issue number | 3 |
| Publication status | Published - 21 Mar 2016 |
Abstract
We provide an explanation of recent experimental results of Xue et al. [P. Xue, R. Zhang, H. Qin, X. Zhan, Z. H. Bian, J. Li, and B. C. Sanders, Phys. Rev. Lett. 114, 140502 (2015)PRLTAO0031-900710.1103/PhysRevLett.114.140502], where full revivals in a time-dependent quantum walk model with a periodically changing coin are found. Using methods originally developed for "electric" walks with a space-dependent, rather than a time-dependent, coin, we provide a full explanation of the observations of Xue et al. We extend the analysis from periodic time dependence to quasiperiodic behavior with periods incommensurate to the step size. Spectral analysis, one of the principal tools for the study of electric walks, fails for time-dependent systems, but we find qualitative propagation behavior of the time-dependent system in close analogy to the electric case.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics
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In: Phys. Rev. A, Vol. 93, No. 3, 032329, 21.03.2016, p. 032329.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Revivals in quantum walks with a quasiperiodically-time-dependent coin
AU - Cedzich, Christopher
AU - Werner, R. F.
N1 - Publisher Copyright: © 2016 American Physical Society. Copyright: Copyright 2018 Elsevier B.V., All rights reserved.
PY - 2016/3/21
Y1 - 2016/3/21
N2 - We provide an explanation of recent experimental results of Xue et al. [P. Xue, R. Zhang, H. Qin, X. Zhan, Z. H. Bian, J. Li, and B. C. Sanders, Phys. Rev. Lett. 114, 140502 (2015)PRLTAO0031-900710.1103/PhysRevLett.114.140502], where full revivals in a time-dependent quantum walk model with a periodically changing coin are found. Using methods originally developed for "electric" walks with a space-dependent, rather than a time-dependent, coin, we provide a full explanation of the observations of Xue et al. We extend the analysis from periodic time dependence to quasiperiodic behavior with periods incommensurate to the step size. Spectral analysis, one of the principal tools for the study of electric walks, fails for time-dependent systems, but we find qualitative propagation behavior of the time-dependent system in close analogy to the electric case.
AB - We provide an explanation of recent experimental results of Xue et al. [P. Xue, R. Zhang, H. Qin, X. Zhan, Z. H. Bian, J. Li, and B. C. Sanders, Phys. Rev. Lett. 114, 140502 (2015)PRLTAO0031-900710.1103/PhysRevLett.114.140502], where full revivals in a time-dependent quantum walk model with a periodically changing coin are found. Using methods originally developed for "electric" walks with a space-dependent, rather than a time-dependent, coin, we provide a full explanation of the observations of Xue et al. We extend the analysis from periodic time dependence to quasiperiodic behavior with periods incommensurate to the step size. Spectral analysis, one of the principal tools for the study of electric walks, fails for time-dependent systems, but we find qualitative propagation behavior of the time-dependent system in close analogy to the electric case.
UR - http://www.scopus.com/inward/record.url?scp=84961724109&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.93.032329
DO - 10.1103/PhysRevA.93.032329
M3 - Article
VL - 93
SP - 032329
JO - Phys. Rev. A
JF - Phys. Rev. A
SN - 2469-9934
IS - 3
M1 - 032329
ER -