Propagation of quantum walks in electric fields

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

Propagation of quantum walks in electric fields. / Cedzich, C.; Rybár, T.; Werner, A. H.; Alberti, A.; Genske, M.; Werner, R. F.

In: Physical Review Letters, Vol. 111, No. 16, 160601, 14.10.2013.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Cedzich, C, Rybár, T, Werner, AH, Alberti, A, Genske, M & Werner, RF 2013, 'Propagation of quantum walks in electric fields', Physical Review Letters, vol. 111, no. 16, 160601. https://doi.org/10.1103/PhysRevLett.111.160601

APA

Cedzich, C., Rybár, T., Werner, A. H., Alberti, A., Genske, M., & Werner, R. F. (2013). Propagation of quantum walks in electric fields. Physical Review Letters, 111(16), [160601]. https://doi.org/10.1103/PhysRevLett.111.160601

Vancouver

Cedzich C, Rybár T, Werner AH, Alberti A, Genske M, Werner RF. Propagation of quantum walks in electric fields. Physical Review Letters. 2013 Oct 14;111(16). 160601. https://doi.org/10.1103/PhysRevLett.111.160601

Author

Cedzich, C. ; Rybár, T. ; Werner, A. H. ; Alberti, A. ; Genske, M. ; Werner, R. F. / Propagation of quantum walks in electric fields. In: Physical Review Letters. 2013 ; Vol. 111, No. 16.

Bibtex

@article{731d23cecdd7463cbeed8b7a07c96c91,
title = "Propagation of quantum walks in electric fields",
abstract = "We study one-dimensional quantum walks in a homogenous electric field. The field is given by a phase which depends linearly on position and is applied after each step. The long time propagation properties of this system, such as revivals, ballistic expansion, and Anderson localization, depend very sensitively on the value of the electric field, Φ, e.g., on whether Φ/(2π) is rational or irrational. We relate these properties to the continued fraction expansion of the field. When the field is given only with finite accuracy, the beginning of the expansion allows analogous conclusions about the behavior on finite time scales.",
author = "C. Cedzich and T. Ryb{\'a}r and Werner, {A. H.} and A. Alberti and M. Genske and Werner, {R. F.}",
year = "2013",
month = oct,
day = "14",
doi = "10.1103/PhysRevLett.111.160601",
language = "English",
volume = "111",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "16",

}

RIS

TY - JOUR

T1 - Propagation of quantum walks in electric fields

AU - Cedzich, C.

AU - Rybár, T.

AU - Werner, A. H.

AU - Alberti, A.

AU - Genske, M.

AU - Werner, R. F.

PY - 2013/10/14

Y1 - 2013/10/14

N2 - We study one-dimensional quantum walks in a homogenous electric field. The field is given by a phase which depends linearly on position and is applied after each step. The long time propagation properties of this system, such as revivals, ballistic expansion, and Anderson localization, depend very sensitively on the value of the electric field, Φ, e.g., on whether Φ/(2π) is rational or irrational. We relate these properties to the continued fraction expansion of the field. When the field is given only with finite accuracy, the beginning of the expansion allows analogous conclusions about the behavior on finite time scales.

AB - We study one-dimensional quantum walks in a homogenous electric field. The field is given by a phase which depends linearly on position and is applied after each step. The long time propagation properties of this system, such as revivals, ballistic expansion, and Anderson localization, depend very sensitively on the value of the electric field, Φ, e.g., on whether Φ/(2π) is rational or irrational. We relate these properties to the continued fraction expansion of the field. When the field is given only with finite accuracy, the beginning of the expansion allows analogous conclusions about the behavior on finite time scales.

UR - http://www.scopus.com/inward/record.url?scp=84885831113&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.111.160601

DO - 10.1103/PhysRevLett.111.160601

M3 - Journal article

AN - SCOPUS:84885831113

VL - 111

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 16

M1 - 160601

ER -

ID: 236787304