Generic evaluation of the relaxation time to equilibrium

Details Generic evaluation of the relaxation time to equilibrium Generic evaluation of the relaxation time to equilibrium

2011-11-30

arxiv.org/abs/1111.7074v1

Physics

Condensed Matter

Statistical Mechanics

3pages

Scientific paper

We evaluate the relaxation time to equilibrium, and especially show that it is almost independent from the system size for macroscopic isolated quantum systems. It at most polynomially depends on the system size. This estimation holds when the Hamiltonian is non-integrable, the initial deviation of the quantity of interest is of order its spectral norm, and the relaxation process is monotonic.

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