caa a22 4500 606166130 CHVBK 20210128100656.0 cr unu---uuuuu 210128e20150201xx s 000 0 eng 10.1007/s10440-014-9953-5 doi (NATIONALLICENCE)springer-10.1007/s10440-014-9953-5 Post Sarah Department of Mathematics, University of Hawai‘i, 96822, Honolulu, HI, USA aut Quantum Perfect State Transfer in a 2D Lattice [Elektronische Daten] [Sarah Post] A finite oscillator model based on two-variable Krawtchouk polynomials is presented and its application to spin dynamics is discussed. The model is defined on a triangular lattice. The conditions that the system admit a form of perfect state transfer where the excitation spectrum is isolated to the boundary of the domain is investigated. We give the necessary bounds on the parameters of the model and a sufficient condition on the ratios of the frequencies of the Hamiltonian. The stronger case where the excitation is isolated at a point is also investigated and shown to exist only in degenerate cases. We then focus on systems with rational frequencies, namely the superintegrable cases and their perfect state transfer properties. We see that these systems interpolate between two, one-dimensional spin chains. By using a parameter in the model as a control parameter, we show that it is possible to steer the excitation spectrum to be isolated at either of the two vertices of the triangle with perfect fidelity. Springer Science+Business Media Dordrecht, 2014 Discrete models nationallicence Spin systems nationallicence Harmonic oscillator nationallicence Orthogonal polynomials nationallicence Acta Applicandae Mathematicae Springer Netherlands 135/1(2015-02-01), 209-224 0167-8019 135:1<209 2015 135 10440 https://doi.org/10.1007/s10440-014-9953-5 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10440-014-9953-5 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Post Sarah Department of Mathematics, University of Hawai‘i, 96822, Honolulu, HI, USA aut NATIONALLICENCE 773 0- Acta Applicandae Mathematicae Springer Netherlands 135/1(2015-02-01), 209-224 0167-8019 135:1<209 2015 135 10440