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

Autor(en): Henrich, MJ
Michel, M
Hartmann, M
Mahler, G
Gemmer, J 
Stichwörter: ENTROPY; LAW; Physics; Physics, Fluids & Plasmas; Physics, Mathematical; QUANTUM
Erscheinungsdatum: 2005
Herausgeber: AMER PHYSICAL SOC
Journal: PHYSICAL REVIEW E
Volumen: 72
Ausgabe: 2, 2
Zusammenfassung: 
We solve the Schrodinger 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 nonthermal for stronger spin-spin coupling. The transition between both scenarios is found for couplings of the order of 0.1x 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.
ISSN: 15393755
DOI: 10.1103/PhysRevE.72.026104

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