On the Glauber model in a quantum representation

Details On the Glauber model in a quantum representation On the Glauber model in a quantum representation

2006-03-09

arxiv.org/abs/cond-mat/0603242v1

Physics

Condensed Matter

Statistical Mechanics

8 pages

Scientific paper

10.1103/PhysRevE.73.062101

The Glauber model is reconsidered based on a quantum formulation of the Master equation. Unlike the conventional approach the temperature and the Ising energy are included from the beginning by introducing a Heisenberg-like picture of the second quantized operators. This method enables us to get an exact expression for the transition rate of a single flip-process $w_i(\sigma_i)$ which is in accordance with the principle of detailed balance. The transition rate differs significantly from the conventional one due to Glauber in the low temperature regime. Here the behavior is controlled by the Ising energy and not by the microscopic time scale.

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