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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geprüft am 12.05.2024