Quantum diffusion on a cyclic one dimensional lattice

Abstract

The quantum diffusion of a particle in an initially localized state on a cyclic lattice with N sites is studied. Diffusion and reconstruction time are calculated. Strong differences are found for even or odd number of sites and the limit N->infinit is studied. The predictions of the model could be tested with micro - and nanotechnology devices.

17 pages, 5 figures

References in corpus (3)

• Controlling discrete quantum walks: coins and intitial states
• Decoherence can be useful in quantum walks
• Quantum mechanics in finite dimensional Hilbert space

Cited by in corpus (8)

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• Non-Unitary Quantum Walks on Hyper-Cycles
• Conceptual inconsistencies in finite-dimensional quantum and classical mechanics
• State determination: an iterative algorithm
• Quantum state reconstruction from dynamical systems theory