Quantum Signatures of The Classical Disconnection Border

Details Quantum Signatures of The Classical Disconnection Border Quantum Signatures of The Classical Disconnection Border

2005-06-09

arxiv.org/abs/cond-mat/0506233v1

Physics

Condensed Matter

Other Condensed Matter

5 pages, 5 figures

Scientific paper

A quantum Heisenberg model with anisotropic coupling and all-to-all interaction has been analyzed using the Bose-Einstein statistics. In Ref.\cite{jsp} the existence of a classical energy disconnection border (EDB) in the same kind of models has been demonstrated. We address here the problem to find quantum signatures of the EDB. An independent definition of a quantum disconnection border, motivated by considerations strictly valid in the quantum regime is given. We also discuss the dynamical relevance of the quantum border with respect to quantum magnetic reversal. Contrary to the classical case the magnetization can flip even below the EDB through Macroscopic Quantum Tunneling. We evaluate the time scale for magnetic reversal from statistical and spectral properties, for a small number of particles and in the semiclassical limit.

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