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 …
Engineering random spin models with atoms in a high-finesse cavity
All-to-all interacting, disordered quantum many-body models have a wide range of
applications across disciplines, from spin glasses in condensed-matter physics over …
applications across disciplines, from spin glasses in condensed-matter physics over …
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 …
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 …
Fock-space anatomy of eigenstates across the many-body localization transition
We explore the Fock-space structure of eigenstates across the many-body localization
(MBL) transition in a disordered, interacting quantum spin-1 2 chain. Eigenstate expectation …
(MBL) transition in a disordered, interacting quantum spin-1 2 chain. Eigenstate expectation …
Diagnostics of nonergodic extended states and many body localization proximity effect through real-space and Fock-space excitations
We provide real-space and Fock-space (FS) characterizations of ergodic, nonergodic
extended (NEE) and many-body localized (MBL) phases in an interacting quasiperiodic …
extended (NEE) and many-body localized (MBL) phases in an interacting quasiperiodic …
Hilbert-space fragmentation, multifractality, and many-body localization
F Pietracaprina, N Laflorencie - Annals of Physics, 2021 - Elsevier
Investigating many-body localization (MBL) using exact numerical methods is limited by the
exponential growth of the Hilbert space. However, localized eigenstates display …
exponential growth of the Hilbert space. However, localized eigenstates display …
Test of the eigenstate thermalization hypothesis based on local random matrix theory
We verify that the eigenstate thermalization hypothesis (ETH) holds universally for locally
interacting quantum many-body systems. Introducing random matrix ensembles with …
interacting quantum many-body systems. Introducing random matrix ensembles with …
Critical dynamics of long-range quantum disordered systems
Long-range hoppings in quantum disordered systems are known to yield quantum
multifractality, the features of which can go beyond the characteristic properties associated …
multifractality, the features of which can go beyond the characteristic properties associated …