Quantum many-body scars and Hilbert space fragmentation: a review of exact results

S Moudgalya, BA Bernevig… - Reports on Progress in …, 2022 - iopscience.iop.org
The discovery of quantum many-body scars (QMBS) both in Rydberg atom simulators and in
the Affleck–Kennedy–Lieb–Tasaki spin-1 chain model, have shown that a weak violation of …

Many-body localization in the age of classical computing

P Sierant, M Lewenstein, A Scardicchio… - Reports on Progress …, 2024 - 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 …

Observing non-ergodicity due to kinetic constraints in tilted Fermi-Hubbard chains

S Scherg, T Kohlert, P Sala, F Pollmann… - Nature …, 2021 - nature.com
The thermalization of isolated quantum many-body systems is deeply related to fundamental
questions of quantum information theory. While integrable or many-body localized systems …

Many-body non-hermitian skin effect for multipoles

J Gliozzi, G De Tomasi, TL Hughes - Physical review letters, 2024 - APS
In this Letter, we investigate the fate of the non-Hermitian skin effect in one-dimensional
systems that conserve the dipole moment and higher moments of an associated global U (1) …

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 …

Measuring nonstabilizerness via multifractal flatness

X Turkeshi, M Schirò, P Sierant - Physical Review A, 2023 - APS
Universal quantum computing requires nonstabilizer (magic) quantum states. Quantifying
the nonstabilizerness and relating it to other quantum resources is vital for characterizing the …

Unusual wave-packet spreading and entanglement dynamics in non-Hermitian disordered many-body systems

T Orito, KI Imura - Physical Review B, 2022 - APS
Non-Hermiticity and dephasing, collaborating in an unusual wave-packet dynamics, realize
unconventional entanglement evolution in a disordered, interacting, and asymmetric …

Entanglement of midspectrum eigenstates of chaotic many-body systems: Reasons for deviation from random ensembles

M Haque, PA McClarty, IM Khaymovich - Physical Review E, 2022 - APS
Eigenstates of local many-body interacting systems that are far from spectral edges are
thought to be ergodic and close to being random states. This is consistent with the …

Chaos and ergodicity across the energy spectrum of interacting bosons

L Pausch, EG Carnio, A Rodríguez, A Buchleitner - Physical Review Letters, 2021 - APS
We identify the chaotic phase of the Bose-Hubbard Hamiltonian by the energy-resolved
correlation between spectral features and structural changes of the associated eigenstates …

Large-deviation analysis of rare resonances for the many-body localization transition

G Biroli, AK Hartmann, M Tarzia - Physical Review B, 2024 - APS
A central theoretical issue at the core of the current research on many-body localization
(MBL) consists in characterizing the statistics of rare long-range resonances in many-body …