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We investigate the non-Markovian dynamics of an open Ising model simulated bya superconducting circuit. The quantum many-body system is weakly coupled to awhite, pink- or blue-colored environment. The relaxation of the system in thestrong inter-qubit interaction regime shows a metastable behaviour. Incomparison with the dissipative system in the Markovian limit, the negativememory of the blue-colored noise weakens the system's relaxation. However, forthe pink-colored noise the relaxation rate of the system is enhanced due to thepositive memory effect. The understanding of quantum many-body systemsresponding to different colored noise fields is necessary for designing theenvironment of superconducting qubits in a large scale quantum processor.

Open Ising Model Perturbed by Classical Colored Noises