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Fock-space geometry and strong correlations in many-body localized systems

Research output: Contribution to journalJournal articlepeer-review

Published
Article number205411
<mark>Journal publication date</mark>15/11/2021
<mark>Journal</mark>Physical review B
Issue number20
Volume104
Number of pages9
Publication StatusPublished
Early online date8/11/21
<mark>Original language</mark>English

Abstract

We adopt a geometric perspective on Fock space to provide two complementary insights into the eigenstates in many-body localized fermionic systems. On the one hand, individual many-body-localized eigenstates are well approximated by a Slater determinant of single-particle orbitals. On the other hand, the orbitals of different eigenstates in a given system display a varying, and generally imperfect, degree of compatibility, as we quantify by a measure based on the projectors onto the corresponding single-particle subspaces. We study this incompatibility between states of fixed and differing particle number, as well as inside and outside the many-body localized regime. This gives detailed insights into the emergence and strongly correlated nature of quasiparticlelike excitations in many-body localized systems, revealing intricate correlations between states of different particle numbers down to the level of individual realizations.

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©2021 American Physical Society