Quantum-state transfer in a two-dimensional regular spin lattice of triangular shape
Hiroshi Miki, Satoshi Tsujimoto, Luc Vinet, Alexei S. Zhedanov · Physical Review A · 2012
Quantum-state transfer in a triangular domain of a two-dimensional, equally spaced, spin lattice with nonhomogeneous nearest-neighbor couplings is analyzed. An exact solution of the one-excitation dynamics is provided in terms of two-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.