A key review on graph data science: The power of graphs in scientific studies
This comprehensive review provides an in-depth analysis of graph theory, various graph
types, and the role of graph visualization in scientific studies. Graphs serve as powerful tools …
types, and the role of graph visualization in scientific studies. Graphs serve as powerful tools …
Dynamical obstruction to localization in a disordered spin chain
D Sels, A Polkovnikov - Physical Review E, 2021 - APS
We analyze a one-dimensional XXZ spin chain in a disordered magnetic field. As the main
probes of the system's behavior, we use the sensitivity of eigenstates to adiabatic …
probes of the system's behavior, we use the sensitivity of eigenstates to adiabatic …
Distinguishing localization from chaos: Challenges in finite-size systems
We re-examine attempts to study the many-body localization transition using measures that
are physically natural on the ergodic/quantum chaotic regime of the phase diagram. Using …
are physically natural on the ergodic/quantum chaotic regime of the phase diagram. Using …
Multifractal scalings across the many-body localization transition
In contrast with Anderson localization where a genuine localization is observed in real
space, the many-body localization (MBL) problem is much less understood in Hilbert space …
space, the many-body localization (MBL) problem is much less understood in Hilbert space …
Many-body localization in the age of classical computing
Statistical mechanics provides a framework for describing the physics of large, complex
many-body systems using only a few macroscopic parameters to determine the state of the …
many-body systems using only a few macroscopic parameters to determine the state of the …
Probing many-body quantum chaos with quantum simulators
The spectral form factor (SFF), characterizing statistics of energy eigenvalues, is a key
diagnostic of many-body quantum chaos. In addition, partial spectral form factors (PSFFs) …
diagnostic of many-body quantum chaos. In addition, partial spectral form factors (PSFFs) …
From Anderson localization on random regular graphs to many-body localization
KS Tikhonov, AD Mirlin - Annals of Physics, 2021 - Elsevier
The article reviews the physics of Anderson localization on random regular graphs (RRG)
and its connections to many-body localization (MBL) in disordered interacting systems …
and its connections to many-body localization (MBL) in disordered interacting systems …
Rare thermal bubbles at the many-body localization transition from the Fock space point of view
In this paper we study the many-body localization (MBL) transition and relate it to the
eigenstate structure in the Fock space. Besides the standard entanglement and multifractal …
eigenstate structure in the Fock space. Besides the standard entanglement and multifractal …
Renormalization group analysis of the Anderson model on random regular graphs
C Vanoni, BL Altshuler, VE Kravtsov… - Proceedings of the …, 2024 - pnas.org
We present a renormalization group (RG) analysis of the problem of Anderson localization
on a random regular graph (RRG) which generalizes the RG of Abrahams, Anderson …
on a random regular graph (RRG) which generalizes the RG of Abrahams, Anderson …
Critical properties of the Anderson transition on random graphs: Two-parameter scaling theory, Kosterlitz-Thouless type flow, and many-body localization
The Anderson transition in random graphs has raised great interest, partly out of the hope
that its analogy with the many-body localization (MBL) transition might lead to a better …
that its analogy with the many-body localization (MBL) transition might lead to a better …