Journal of Physics Conference Series

Transport behavior and dynamical control in integrable and chaotic spin-1/2 Heisenberg chains

Léa Ferreira dos Santos

Published Jan 1, 2010• 4 citations

Abstract

We study transport of local magnetization in spin-1/2 Heisenberg chains in integrable and chaotic regimes at zero temperature. A clean Heisenberg chain with only nearest-neighbor interactions is integrable, whereas the addition of frustrating next-nearest neighbor interactions or yet of on-site disorder may lead to the onset of chaos. For a particular initial state far from equilibrium, the dynamics of local magnetization in the chaotic and non-chaotic clean chains is surprisingly similar, but differ significantly from the disordered system. We also discuss how quantum control methods consisting of sequences of magnetic pulses may be used to remove the effects of particular terms of the Hamiltonian, such as defects or unwanted interactions, and therefore induce a desired transport behavior.

DOI: 10.1088/1742-6596/200/2/022053

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