Journal
PHYSICAL REVIEW B
Volume 96, Issue 14, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.96.144204
Keywords
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Funding
- Institute for Basic Science [IBS-R024-D1]
- Ministry of Education and Science of the Russian Federation [K2-067-2017]
- Russian Science Foundation [16-12-00095]
- Russian Science Foundation [16-12-00095] Funding Source: Russian Science Foundation
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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.
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