Exploring Many-Body Localization Through Fock Space Dynamics

Recent advancements in understanding many-body localization (MBL) have been detailed in a new paper titled "The Fock-space landscape of many-body localisation" by Sthitadhi Roy and David E. Logan. This paper, submitted to arXiv on August 22, 2024, explores the physics of MBL in disordered and interacting quantum many-body systems through the lens of ergodicity breaking in Fock space.

The authors propose a novel approach that maps the dynamics of many-body systems onto a fictitious single particle within a high-dimensional, correlated, and disordered Fock-space graph. This method diverges from traditional models of Anderson localization, which typically operate on high-dimensional or hierarchical graphs. The paper discusses both static and dynamic eigenstate correlations in the Fock space, examining these correlations in ergodic and many-body localized phases, as well as near the MBL transition.

A significant aspect of the research is the development of a scaling theory related to the MBL transition, based on quantities derived from Fock space. The authors also connect these theoretical constructs to observable phenomena in real space, providing a comprehensive overview of various analytical and numerical techniques that have been instrumental in forming a clearer picture of MBL.

The findings of this paper could have substantial implications for the field of quantum physics, particularly in enhancing the understanding of localization phenomena in complex systems. The authors also highlight several open questions in the field, suggesting that the Fock-space approach may yield further insights into these unresolved issues.

For those interested in the detailed findings and methodologies, the full paper can be accessed at arXiv:2408.12685.