Darmstadt 2008 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 36: Quanteninformation (Konzepte und Methoden II)
Q 36.2: Vortrag
Donnerstag, 13. März 2008, 11:15–11:30, 1B
2D Multipartite Valence Bond States in Quantum Antiferromagnets — Enrique Rico1, •Robert Hübener1, and Hans Briegel1,2 — 1Institut für Quantenoptik und Quanteninformation Innsbruck, Technikerstraße 21a, A-6020 Innsbruck, Austria — 2Institut für Theoretische Physik, Universität Innsbruck, Technikerstraße 25, A-6020 Innsbruck, Austria
A quantum anti-ferromagnetic spin-model on a lattice is characterized via projections of the Hilbert space of a spin-1/2-model on a 2D lattice into suitable subspaces. We implement the following requirements to the resulting state space: a) the states are homogeneous, translationally and rotationally invariant; b) the states are real singlet states (non-chiral); c) the states have a local spin-1 representation. We investigate the properties (e.g., decay of correlations) of this class of states, which is a set of ground states of certain Heisenberg-like Hamiltonians, and then relax the requirements to obtain more general models. Ref.: arXiv:0710.2349v1