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High Energy Physics - Theory
Title: Complexity Measure Diagnostics of Ergodic to Many-Body Localization Transition
(Submitted on 24 Apr 2024)
Abstract: We introduce new diagnostics of the transition between the ergodic and many-body localization phases, which are based on complexity measures defined via the probability distribution function of the Lanczos coefficients of the tri-diagonalized Hamiltonian. We use these complexity measures to analyze the power-law random banded matrix model as a function of the correlation strength and show that the moments and the entropy of the distribution diagnose the ergodic to many-body transition, as well as the distinctive feature of the phases concerning the memory of the initial conditions.
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