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| Paper IPM / Physic / 18475 |
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| Abstract: | |||||||||
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We study the effect of noise on the dynamics of the transverse-field Ising model quenched across a quantum
critical point. To quantify two-spin correlations, we employ the quantum Fisher information (QFI) and the
Wigner-Yanase skew information (WYSI) as measures of quantum coherence. In the noiseless case, in contrast
to the dynamics of entanglement in anisotropic XY chains, both QFI and WYSI increase monotonically with
the ramp quench time, approaching their adiabatic limits without exhibiting any Kibble-Zurek-type scaling
with quench duration. In contrast, when noise is added to the quench protocol, the coherence dynamics change
qualitatively: QFI and WYSI both decay exponentially with the timescale of a ramp quench, with an exponent
determined by the noise intensity. Furthermore, the maximum ramp time, at which either of these measures
reaches its maximum, scales linearly with the noise variance, featuring the same exponent that determines the
optimal annealing time for minimizing defect production in noisy quantum annealing.
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