Can we study the many-body localisation transition?

RK Panda, A Scardicchio, M Schulz… - Europhysics …, 2020 - iopscience.iop.org
We present a detailed analysis of the length-and timescales needed to approach the critical
region of MBL from the delocalised phase, studying both eigenstates and the time evolution …

Matrix models for eigenstate thermalization

DL Jafferis, DK Kolchmeyer, B Mukhametzhanov… - Physical Review X, 2023 - APS
We develop a class of matrix models that implement and formalize the eigenstate
thermalization hypothesis (ETH) and point out that, in general, these models must contain …

Multifractality and its role in anomalous transport in the disordered XXZ spin-chain

DJ Luitz, IM Khaymovich, Y Bar Lev - SciPost Physics Core, 2020 - scipost.org
The disordered XXZ model is a prototype model of the many-body localization transition
(MBL). Despite numerous studies of this model, the available numerical evidence of …

Out-of-time-order correlations and the fine structure of eigenstate thermalization

M Brenes, S Pappalardi, MT Mitchison, J Goold, A Silva - Physical Review E, 2021 - APS
Out-of-time-order correlators (OTOCs) have become established as a tool to characterise
quantum information dynamics and thermalization in interacting quantum many-body …

Designs via free probability

M Fava, J Kurchan, S Pappalardi - arXiv preprint arXiv:2308.06200, 2023 - arxiv.org
Unitary Designs have become a vital tool for investigating pseudorandomness since they
approximate the statistics of the uniform Haar ensemble. Despite their central role in …

Pauli spectrum and magic of typical quantum many-body states

X Turkeshi, A Dymarsky, P Sierant - arXiv preprint arXiv:2312.11631, 2023 - arxiv.org
An important question of quantum information is to characterize genuinely quantum (beyond-
Clifford) resources necessary for universal quantum computing. Here, we use the Pauli …

Signatures of chaos in nonintegrable models of quantum field theories

M Srdinšek, T Prosen, S Sotiriadis - Physical review letters, 2021 - APS
We study signatures of quantum chaos in (1+ 1) D quantum field theory (QFT) models. Our
analysis is based on the method of Hamiltonian truncation, a numerical approach for the …

Bound on eigenstate thermalization from transport

A Dymarsky - Physical Review Letters, 2022 - APS
We show that macroscopic thermalization and transport impose constraints on matrix
elements entering the eigenstate thermalization hypothesis (ETH) ansatz and require them …

Hydrodynamics and the eigenstate thermalization hypothesis

L Capizzi, J Wang, X Xu, L Mazza, D Poletti - arXiv preprint arXiv …, 2024 - arxiv.org
The eigenstate thermalization hypothesis (ETH) describes the properties of diagonal and off-
diagonal matrix elements of local operators in the eigenenergy basis. In this work, we …

Unveiling Eigenstate Thermalization for Non-Hermitian systems

SS Roy, S Bandyopadhyay, RC de Almeida… - arXiv preprint arXiv …, 2023 - arxiv.org
The Eigenstate Thermalization Hypothesis (ETH) has been highly influential in explaining
thermodynamic behavior of closed quantum systems. As of yet, it is unclear whether and …