Berlin 2005 – wissenschaftliches Programm

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Q: Quantenoptik und Photonik

Q 52: Quanteninformation III

Q 52.6: Vortrag

Dienstag, 8. März 2005, 18:15–18:30, HU Audimax

Entanglement in spin chains and lattices with long-range interactions — •Lorenz Hartmann¹, Wolfgang Dür¹, Marc Hein¹, Hans Briegel^1,2, and Maciej Lewenstein³ — ¹Institut für Theoretische Physik, Universität Innsbruck, Technikerstraße 25, 6020 Innsbruck, Österreich — ²Institut für Quantenoptik und Quanteninformation, Österreichische Akademie der Wissenschaften, Innsbruck, Österreich — ³Institut für Theoretische Physik, Universität Hannover, Appelstraße 2, 30167 Hannover, Deutschland

We investigate entanglement properties of N initially disentangled spins, embedded in a ring or d-dimensional lattice. The spins interact via some long-range Ising-type interaction. A description in terms of generalized valence bond solids allows us, for arbitrarily large N, to efficiently calculate reduced density operators of up to ten particles. From these density operators we can compute many quantities, for example the bipartite entanglement S_L between a block of L neighboring spins and the remaining system, lower and upper bounds on the localizable entanglement, and higher order correlation functions. We vary the distance dependence of the interaction and investigate how this variation affects the scaling of the entropy S_L as L grows. We provide a sufficient condition when S_L saturates. In other cases, we find that the entanglement length diverges. For special configurations, we determine S_L analytically for all L in the limit N to infinity.