We propose a checking parameter utilizing the breaking of the Jarzynski
equality in the simulated annealing method using the Monte Carlo method. This
parameter is based on the Jarzynski equality. By using this parameter, to
detect that the system is in global minima of the free energy under gradual
temperature reduction is possible. Thus, by using this parameter, one is able
to investigate the efficiency of annealing schedules. We apply this parameter
to the +-J Ising spin glass model. The application to the Gaussian Ising spin
glass model is also mentioned. We discuss that the breaking of the Jarzynski
equality is induced by the system being trapped in local minima of the free
energy. By performing Monte Carlo simulations of the +-J Ising spin glass model
and a glassy spin model proposed by Newman and Moore, we show the efficiency of
the use of this parameter.Comment: 14 pages, 2 figures. v6: this is the final versio