Driven single-band tight-binding dynamics, mesoscopic quantum circuits and realization of generalized parafermionic polynomial algebrasDeformed parafermionic algebra from single-band tight-binding dynamics

Details Driven single-band tight-binding dynamics, mesoscopic quantum circuits and realization of generalized parafermionic polynomial algebrasDeformed parafermionic algebra from single-band tight-binding dynamics Driven single-band tight-binding dynamics, mesoscopic quantum circuits and realization of generalized parafermionic polynomial algebrasDeformed parafermionic algebra from single-band tight-binding dynamics

2006-10-18

arxiv.org/abs/quant-ph/0610144v4

Physics

Quantum Physics

15 pages. to be published in Physica Scripta (2008)

Scientific paper

The quantum dynamics of a driven single-band tight-binding model with different boundary conditions is considered. The relation between the Hamiltonian describing the single-band tight-binding dynamics and the Hamiltonian of a discrete-charge mesoscopic quantum circuit is elucidated. It is shown that the former Hamiltonian, with Dirichlet boundary conditions, can be considered as a realization of the deformed parafermionic polynomial algebras.

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