Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2005-06-15
Phys. Rev. E 72, 026104 (2005)
Physics
Condensed Matter
Statistical Mechanics
RevTeX, 8 pages, 14 figures, added DOI and forgotten references
Scientific paper
10.1103/PhysRevE.72.026104
We solve the Schroedinger equation for an interacting spin-chain locally coupled to a quantum environment with a specific degeneracy structure. The reduced dynamics of the whole spin-chain as well as of single spins is analyzed. We show, that the total spin-chain relaxes to a thermal equilibrium state independently of the internal interaction strength. In contrast, the asymptotic states of each individual spin are thermal for weak but non-thermal for stronger spin-spin coupling. The transition between both scenarios is found for couplings of the order of $0.1 \times \Delta E$, with $\Delta E$ denoting the Zeeman-splitting. We compare these results with a master equation treatment; when time averaged, both approaches lead to the same asymptotic state and finally with analytical results.
Gemmer Jochen
Hartmann Michael
Henrich Markus J.
Mahler Guenther
Michel Mathias
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