Quantum State Transfer in a Two-dimensional Regular Spin Lattice of Triangular Shape

Details Quantum State Transfer in a Two-dimensional Regular Spin Lattice of Triangular Shape Quantum State Transfer in a Two-dimensional Regular Spin Lattice of Triangular Shape

2012-03-09

arxiv.org/abs/1203.2128v2

Physics

Mathematical Physics

4 pages, 1 figures; PACS numbers: 03.67.Hk, 02.30.Zz, 02.30.Gp

Scientific paper

Quantum state transfer in a triangular domain of a two-dimensional, equally-spaced, spin lat- tice with non-homogeneous nearest-neighbor couplings is analyzed. An exact solution of the one- excitation dynamics is provided in terms of 2-variable Krawtchouk orthogonal polynomials that have been recently defined. The probability amplitude for an excitation to transit from one site to another is given. For some values of the parameters, perfect transfer is shown to take place from the apex of the lattice to the boundary hypotenuse.

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