Almost compact moving breathers with fine-Tuned discrete time quantum walks

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Title
Almost compact moving breathers with fine-Tuned discrete time quantum walks
Author(s)
I. Vakulchyk; M. V. Fistul; Y. Zolotaryuk; S. Flach
Publication Date
2018-12
Journal
CHAOS, v.28, no.12, pp.123104 -
Publisher
AMER INST PHYSICS
Abstract
Discrete time quantum walks are unitary maps defined on the Hilbert space of coupled two-level systems. We study the dynamics of excitations in a nonlinear discrete time quantum walk, whose fine-Tuned linear counterpart has a flat band structure. The linear counterpart is, therefore, lacking transport, with exact solutions being compactly localized. A solitary entity of the nonlinear walk moving at velocity v would, therefore, not suffer from resonances with small amplitude plane waves with identical phase velocity, due to the absence of the latter. That solitary excitation would also have to be localized stronger than exponential, due to the absence of a linear dispersion. We report on the existence of a set of stationary and moving breathers with almost compact superexponential spatial tails. At the limit of the largest velocity v = 1, the moving breather turns into a completely compact bullet. c. 2018 Author(s)
URI
https://pr.ibs.re.kr/handle/8788114/5320
ISSN
1054-1500
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > Journal Papers (저널논문)
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