Glauber model in a quantum representation.
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.
Michael
Thomas
T
Fachbereich Physik, Martin-Luther-Universität, D-06099 Halle, Germany.
Trimper
Steffen
S
Schulz
Michael
M