Complexity Measure Diagnostics of Ergodic to Many-Body Localization Transition

• URL: http://arxiv.org/abs/2404.15940v2
• Date: Wed, 13 Nov 2024 15:54:21 GMT
• Title: Complexity Measure Diagnostics of Ergodic to Many-Body Localization Transition
• Authors: Khen Cohen, Yaron Oz, De-liang Zhong,
• Abstract summary: We introduce new diagnostics of the transition between the ergodic and many-body localization phases. We use these complexity measures to analyze the power-law random banded matrix model.
• Score: 0.8192907805418583
• License:
• 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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