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Proceedings Paper

Quantum-classical crossover in quantum walks mixing time
Author(s): Leonid Fedichkin; Fedor Meshchaninov
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Paper Abstract

Continuous-time quantum walks on a cycle graph are analyzed in the presence of decoherence. The electron evolution in the nanostructure composed of ring of tunnel-coupled semiconductor quantum dots is considered as realistic model for quantum walks on a cycle graph. Quantum-classical crossover from fast quantum dynamics to classical diffusive behavior is observed as decoherence rate parameter grows. The dependence of transition decoherence rate and mixing time versus size of the graph are studied both analytically and numerically.

Paper Details

Date Published: 30 December 2016
PDF: 6 pages
Proc. SPIE 10224, International Conference on Micro- and Nano-Electronics 2016, 102242M (30 December 2016); doi: 10.1117/12.2267246
Show Author Affiliations
Leonid Fedichkin, Institute of Physics and Technology (Russian Federation)
NIX (Russian Federation)
Moscow Institute of Physics and Technology (State Univ.) (Russian Federation)
Fedor Meshchaninov, Institute of Physics and Technology (Russian Federation)
Moscow Institute of Physics and Technology (State Univ.) (Russian Federation)


Published in SPIE Proceedings Vol. 10224:
International Conference on Micro- and Nano-Electronics 2016
Vladimir F. Lukichev; Konstantin V. Rudenko, Editor(s)

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