It should be underlined that the existence of rare states in the thermodynamic limit has been debated in the literature and in particular in a series of papers by Santos and Rigol [33, 34, 35].
Quench Dynamics in Randomly Generated Extended Quantum Models
Rigol for useful discussions. M.E. acknowledges support by Studienstiftung des Deutschen Volkes.
Nonthermal steady states after an interaction quench in the Falicov-Kimball model
Rigol et al. proposed to use extended Gibbs-Boltzmann measures in the latter case with as many constants of motion as necessary ﬁxed by the initial condition [147].
The effective temperature
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