期刊
PHYSICAL REVIEW A
卷 91, 期 2, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.91.022324
关键词
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资金
- National Excellence Program-Elaborating and operating an inland student and researcher personal support system by the European Union - European Social Fund [TAMOP 4.2.4. A/1-11-1-2012-0001]
- Hungarian National Office for Research and Technology [ERC_HU_09 OPTOMECH]
- Hungarian Academy of Sciences (Lendulet Program) [LP2011-016]
- Hungarian Scientific Research Fund (OTKA) [K83858, NN109651]
- NORDITA
Quantum walks on translation-invariant regular graphs spread quadratically faster than their classical counterparts. The same coherence that gives them this quantum speedup inhibits or even stops their spread in the presence of disorder. We ask how to create an efficient transport channel from a fixed source site (A) to fixed target site (B) in a disordered two-dimensional discrete-time quantum walk by cutting some of the links. We show that the somewhat counterintuitive strategy of cutting links along a single line connecting A to B creates such a channel. The efficient transport along the cut is due to topologically protected chiral edge states, which exist even though the bulk Chern number in this system vanishes. We give a realization of the walk as a periodically driven lattice Hamiltonian and identify the bulk topological invariant responsible for the edge states as the quasienergy winding of this Hamiltonian.
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