Global and local relaxation of a spin-chain under exact Schroedinger and master-equation dynamics

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dc.creatorHenrich, Markus J.
dc.creatorMichel, Mathias
dc.creatorHartmann, Michael
dc.creatorMahler, Guenther
dc.creatorGemmer, Jochen
dc.date2005-06-15
dc.date2005-11-03
dc.date.accessioned2026-07-07T06:37:58Z
dc.date.available2026-07-07T06:37:58Z
dc.descriptionWe 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 $0.1 \times ΔE$, with $ΔE$ 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.
dc.descriptionRevTeX, 8 pages, 14 figures, added DOI and forgotten references
dc.identifierhttps://arxiv.org/abs/cond-mat/0506355
dc.identifierhttp://arxiv.org/abs/cond-mat/0506355
dc.identifierPhys. Rev. E 72, 026104 (2005)
dc.identifierdoi:10.1103/PhysRevE.72.026104
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100576
dc.subjectStatistical Mechanics
dc.subjectQuantum Physics
dc.titleGlobal and local relaxation of a spin-chain under exact Schroedinger and master-equation dynamics
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