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 …

Dynamics and transport at the threshold of many-body localization

S Gopalakrishnan, SA Parameswaran - Physics Reports, 2020 - Elsevier
Many-body localization (MBL) describes a class of systems that do not approach thermal
equilibrium under their intrinsic dynamics; MBL and conventional thermalizing systems form …

Distinguishing localization from chaos: Challenges in finite-size systems

DA Abanin, JH Bardarson, G De Tomasi… - Annals of Physics, 2021 - Elsevier
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 …

Fractal, logarithmic, and volume-law entangled nonthermal steady states via spacetime duality

M Ippoliti, T Rakovszky, V Khemani - Physical Review X, 2022 - APS
The extension of many-body quantum dynamics to the nonunitary domain has led to a series
of exciting developments, including new out-of-equilibrium entanglement phases and phase …

Phenomenology of the prethermal many-body localized regime

DM Long, PJD Crowley, V Khemani, A Chandran - Physical Review Letters, 2023 - APS
The dynamical phase diagram of interacting disordered systems has seen substantial
revision over the past few years. Theory must now account for a large prethermal many-body …

Stability of many-body localization in Floquet systems

P Sierant, M Lewenstein, A Scardicchio, J Zakrzewski - Physical Review B, 2023 - APS
We study many-body localization (MBL) transition in disordered Floquet systems using a
polynomially filtered exact diagonalization (POLFED) algorithm. We focus on disordered …

Simulation of quantum many-body dynamics with tensor processing units: Floquet prethermalization

A Morningstar, M Hauru, J Beall, M Ganahl, AGM Lewis… - PRX Quantum, 2022 - APS
Tensor processing units (TPUs) are specialized hardware accelerators developed by
Google to support large-scale machine-learning tasks but they can also be leveraged to …

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 …

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 …

[HTML][HTML] Dissipative Floquet dynamics: From steady state to measurement induced criticality in trapped-ion chains

P Sierant, G Chiriacò, FM Surace, S Sharma… - Quantum, 2022 - quantum-journal.org
Quantum systems evolving unitarily and subject to quantum measurements exhibit various
types of non-equilibrium phase transitions, arising from the competition between unitary …