On the dynamics of large-N O(N)-symmetric quantum systems at finite temperature

Details On the dynamics of large-N O(N)-symmetric quantum systems at finite temperature On the dynamics of large-N O(N)-symmetric quantum systems at finite temperature

2009-03-25

arxiv.org/abs/0903.4263v1

Physics

Quantum Physics

4 pages RevTeX, 2 figures

Scientific paper

Time evolution of a perturbed thermal state is studied in a quantum-mechanical system with O(N) symmetry. In the limit of large N, time dependence of O(N)-singlet expectation values can be described by classical equations of motion in a one-dimensional potential well. Time dependence of the perturbation is then described by a linear differential equation with time-dependent periodic coefficient. This equation, depending on the parameters, admits either exponentially growing/decaying or periodically oscillating solutions. It is demonstrated that only the latter possibility is actually realized, thus in such a system there is no redistribution of initial perturbation over all N degrees of freedom.

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