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Ihor Vakulchyk
복잡계 이론물리 연구단
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Anderson localization in generalized discrete-time quantum walks

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Title
Anderson localization in generalized discrete-time quantum walks
Author(s)
I. Vakulchyk; M. V. Fistul; P. Qin; S. Flach
Publication Date
2017-10
Journal
PHYSICAL REVIEW B, v.96, no.14, pp.144204 -
Publisher
AMER PHYSICAL SOC
Abstract
We study Anderson localization in a generalized discrete-time quantum walk—a unitary map related to a Floquet driven quantum lattice. It is controlled by a quantum coin matrix which depends on four angles with the meaning of potential and kinetic energy, and external and internal synthetic flux. Such quantum coins can be engineered with microwave pulses in qubit chains. The ordered case yields a two-band eigenvalue structure on the unit circle, which becomes completely flat in the limit of vanishing kinetic energy. Disorder in the external magnetic field does not impact localization. Disorder in all the remaining angles yields Anderson localization. In particular, kinetic-energy disorder leads to logarithmic divergence of the localization length at spectral symmetry points. Strong disorder in potential and internal magnetic field energies allows one to obtain analytical expressions for spectrally independent localization length, which is highly useful for various applications. © 2017 American Physical Society
URI
http://pr.ibs.re.kr/handle/8788114/3947
ISSN
2469-9950
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > Journal Papers (저널논문)
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