Many-body localization in the age of classical computing

P Sierant, M Lewenstein, A Scardicchio… - Reports on Progress …, 2025 - iopscience.iop.org
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 …

Volume-law entanglement entropy of typical pure quantum states

E Bianchi, L Hackl, M Kieburg, M Rigol, L Vidmar - PRX Quantum, 2022 - APS
The entanglement entropy of subsystems of typical eigenstates of quantum many-body
Hamiltonians has recently been conjectured to be a diagnostic of quantum chaos and …

Rare thermal bubbles at the many-body localization transition from the Fock space point of view

G De Tomasi, IM Khaymovich, F Pollmann, S Warzel - Physical Review B, 2021 - APS
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 …

Quantifying quantum chaos through microcanonical distributions of entanglement

JF Rodriguez-Nieva, C Jonay, V Khemani - Physical Review X, 2024 - APS
A characteristic feature of “quantum chaotic” systems is that their eigenspectra and
eigenstates display universal statistical properties described by random matrix theory (RMT) …

Multifractality of the many-body non-Hermitian skin effect

S Hamanaka, K Kawabata - Physical Review B, 2025 - APS
The non-Hermitian skin effect, anomalous localization of an extensive number of eigenstates
induced by nonreciprocal dissipation, plays a pivotal role in non-Hermitian topology and …

Fragile extended phases in the log-normal Rosenzweig-Porter model

IM Khaymovich, VE Kravtsov, BL Altshuler… - Physical Review …, 2020 - APS
In this paper, we suggest an extension of the Rosenzweig-Porter (RP) model, the LN-RP
model, in which the off-diagonal matrix elements have a wide, log-normal distribution. We …

Multifractal phase in the weighted adjacency matrices of random Erdös-Rényi graphs

LF Cugliandolo, G Schehr, M Tarzia, D Venturelli - Physical Review B, 2024 - APS
We study the spectral properties of the adjacency matrix in the giant connected component
of Erdös-Rényi random graphs, with average degree p and randomly distributed hop** …

Dynamical phases in a``multifractal''Rosenzweig-Porter model

IM Khaymovich, V Kravtsov - SciPost Physics, 2021 - scipost.org
We consider the static and the dynamic phases in a Rosenzweig-Porter (RP) random matrix
ensemble with a distribution of off-diagonal matrix elements of the form of the large-deviation …

Average entanglement entropy of midspectrum eigenstates of quantum-chaotic interacting Hamiltonians

M Kliczkowski, R Świętek, L Vidmar, M Rigol - Physical Review E, 2023 - APS
To which degree the average entanglement entropy of midspectrum eigenstates of quantum-
chaotic interacting Hamiltonians agrees with that of random pure states is a question that …

Fading ergodicity

M Kliczkowski, R Świętek, M Hopjan, L Vidmar - Physical Review B, 2024 - APS
Eigenstate thermalization hypothesis (ETH) represents a breakthrough in many-body
physics since it allows us to link thermalization of physical observables with the applicability …