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

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.

preprint2012arXivOpen access
Hiroshi MikiSatoshi TsujimotoLuc VinetAlexei Zhedanov
math-phmath.MP
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Open access4 authors2 topics
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Citations: 0Reviews: 0Saves: 0Code: not linkedDataset: not linkedInstitutions: 0

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Hiroshi MikiSatoshi TsujimotoLuc VinetAlexei Zhedanov

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