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In this work we report on a loss of ergodicity in a simple hopping model,motivated by the Hubbard Hamiltonian, of a many body quantum system at zerotemperature, quantized in Euclidean time. We show that this quantum system maylose ergodicity at high densities on a large lattice, as a result of both Pauliexclusion and strong Coulomb repulsion. In particular we study particle hoppingsusceptibilities and the tendency towards particle localization. It is foundthat the appearance and existence of quantum phase transitions in this model,in the case of high density and strong Coulomb repulsion, depends on thestarting configuration of particle trajectories in the numerical simulation. Weargue that this breakdown may be the Euclidean time version of a breakdown ofthe eigenstate thermalization hypothesis in real time quantization.

Loss of ergodicity in a quantum hopping model of a dense many body system with repulsive interactions