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

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

We solve the Schrödinger 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...

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Veröffentlicht in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2005-08, Vol.72 (2 Pt 2), p.026104-026104, Article 026104
Hauptverfasser: Henrich, Markus J, Michel, Mathias, Hartmann, Michael, Mahler, Günter, Gemmer, Jochen
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container_issue 2 Pt 2
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container_title Physical review. E, Statistical, nonlinear, and soft matter physics
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creator Henrich, Markus J
Michel, Mathias
Hartmann, Michael
Mahler, Günter
Gemmer, Jochen
description We solve the Schrödinger 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 0.1 x deltaE , with deltaE 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.
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