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Simulation of matrix product states to unveil the initial state dependency of non-Gaussian dynamics of Kerr nonlinearity

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Abstract

We simulate a free dissipative and coherent-driven Kerr nonlinear system using a time-evolving block decimation (TEBD) algorithm to study the impact of the initial state on the exact quantum dynamics of the system. The superposition of two coherent branches results in non-classical time dynamics. The Wigner state representation confirms that the system ends up saturating to two different branches, through evolving different trajectories, resulting in de-Gaussification throughout evolution. Furthermore, we also see that the time evolution suffers the residual effect of the initial state.

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Supplementary Material (1)

NameDescription
Supplement 1       Plot of the evolution of the Wigner function to visualize the exact dynamical behavior through a videographic representation.

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Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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