Many-body localization in the Fock space of natural orbitals

Abstract

We study the eigenstates of a paradigmatic model of many-body localization in the Fock basis constructed out of the natural orbitals. By numerically studying the participation ratio, we identify a sharp crossover between different phases at a disorder strength close to the disorder strength at which subdiffusive behaviour sets in, significantly below the many-body localization transition. We repeat the analysis in the conventionally used computational basis, and show that many-body localized eigenstates are much stronger localized in the Fock basis constructed out of the natural orbitals than in the computational basis.

Submission to SciPost

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• Scaling properties of a spatial one-particle density-matrix entropy in many-body localized systems
• Many-body localization transition in a frustrated XY chain
• Multifractality and Fock-space localization in many-body localized states: one-particle density matrix perspective
• Many-body localization of ${\mathbb{Z}}_3$ Fock parafermions
• Circular Rosenzweig-Porter random matrix ensemble
• Fock-space geometry and strong correlations in many-body localized systems
• Gaussian state approximation of quantum many-body scars