The effect of chaos on the simulation of quantum critical phenomena in analog quantum simulators
Karthik Chinni,
Pablo M. Poggi,
Ivan H. Deutsch
Abstract:We study how chaos, introduced by a weak perturbation, affects the reliability of the output of analog quantum simulation. As a toy model, we consider the Lipkin-Meshkov-Glick (LMG) model. Inspired by the semiclassical behavior of the order parameter in the thermodynamic limit, we propose a protocol to measure the quantum phase transition in the ground state and the dynamical quantum phase transition associated with quench dynamics. We show that the presence of a small time-dependent perturbation can render th… Show more
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