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 -