Probing Causation Dynamics in Quantum Chains near Criticality
arxiv(2024)
摘要
Distinguishing causation from correlation is crucial and requires careful
consideration. In this study, we utilize a recent quantum extension of Liang
information to investigate causation in quantum chains across their phase
diagram. Our analysis encompasses two distinct scenarios: (i) the
Aubry-André-Harper model, characterized by a spectrum-wide phase
transition, and (ii) the Anisotropic Transverse Field Ising (ANNNI) model,
which demonstrates a ground state transition. We discern a notable shift in
causation behavior across the critical point with each case exhibiting distinct
hallmarks, different from correlation measures. Especially, in the latter case,
we observe maximum causation in the ordered phase just preceding the critical
point.
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