Volume 47, Number 2, July II 1999
|Page(s)||164 - 170|
|Published online||01 September 2002|
Relaxation and aging in quantum spin systems
Institut für Festkörperforschung, Forschungszentrum Jülich - D-52425 Jülich, Germany
2 Fachbereich Physik, Martin-Luther-Universität - D-06099 Halle, Germany
Accepted: 4 May 1999
The nonthermal quantum relaxation of the magnetization under nonequilibrium initial conditions is studied for the transverse Ising chain and for the one-dimensional isotropic XY model. In the absence of a heat bath the transverse Ising system exhibits an oscillating relaxation with a decaying amplitude. At the critical transverse field some stationary properties become independent of the initial state. The isotropic XY chain with a spatially inhomogeneous initial state shows a slow, modulated algebraic decay of the magnetization. Analysis of the two-time autocorrelation function reveals the phenomenon of aging.
PACS: 05.70.Ln – Nonequilibrium and irreversible thermodynamics / 05.30.-d – Quantum statistical mechanics / 75.40.Gb – Dynamic properties (dynamic susceptibility, spin waves, spin diffusion, dynamic scaling, etc.)
© EDP Sciences, 1999
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