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Since the seminal work of Anderson, localisation has been recognised as a standard mechanism allowing quantum many-body systems to escape ergodicity. This idea acquired even more prominence in the last decade as it has been argued that…

Chaotic Dynamics · Physics 2022-04-25 Bruno Bertini , Pavel Kos , Tomaz Prosen

We study the many-body localization (MBL) properties of the Heisenberg XXZ spin-$\frac12$ chain in a random magnetic field. We prove that the system exhibits localization in any given energy interval at the bottom of the spectrum in a…

Mathematical Physics · Physics 2025-01-08 Alexander Elgart , Abel Klein

Neural networks have emerged as a powerful way to approach many practical problems in quantum physics. In this work, we illustrate the power of deep learning to predict the dynamics of a quantum many-body system, where the training is…

Many-body localization (MBL) can occur when strong disorders prevent an interacting system from thermalization. To study the dynamics of such systems, it is typically necessary to perform an ensemble average over many different disorder…

Quantum Physics · Physics 2023-08-16 Jhen-Dong Lin , Yueh-Nan Chen

We study the real-time dynamics of a translationally invariant quantum spin chain, based on the East kinetically constrained glass model, in search for evidence of many-body localisation in the absence of disorder. Numerical simulations…

Statistical Mechanics · Physics 2015-10-07 Merlijn van Horssen , Emanuele Levi , Juan P. Garrahan

The classification of big data usually requires a mapping onto new data clusters which can then be processed by machine learning algorithms by means of more efficient and feasible linear separators. Recently, Lloyd et al. have advanced the…

Finding the precise location of quantum critical points is of particular importance to characterise quantum many-body systems at zero temperature. However, quantum many-body systems are notoriously hard to study because the dimension of…

Due to a phenomenon of many-body localization (MBL), the strong disorder may significantly slow down or even completely hinder the thermalization of quantum many-body systems. A sufficiently deep quasiperiodic potential may also inhibit…

Disordered Systems and Neural Networks · Physics 2025-01-14 Pedro R. Nicácio Falcão , Adith Sai Aramthottil , Piotr Sierant , Jakub Zakrzewski

Generating big data pervades much of physics. But some problems, which we call extreme data problems, are too large to be treated within big data science. The nonequilibrium quantum many-body problem on a lattice is just such a problem,…

Strongly Correlated Electrons · Physics 2014-12-11 J. K. Freericks , B. K. Nikolic , O. Frieder

We identify a new "order parameter" for the disorder driven many-body localization (MBL) transition by leveraging artificial intelligence. This allows us to pin down the transition, as the point at which the physics changes qualitatively,…

Quantum Physics · Physics 2019-11-19 Patrick Huembeli , Alexandre Dauphin , Peter Wittek , Christian Gogolin

We show that a neural network, trained on the entanglement spectra of a nearest neighbor Heisenberg chain in a random transverse magnetic field, can be used to efficiently study the ergodic/many-body localized properties of a number of…

Disordered Systems and Neural Networks · Physics 2021-08-13 Cameron Beetar , Jeff Murugan , Dario Rosa

We show that a quantum phase transition from ergodic to many-body localized (MBL) phases can be induced via periodic pulsed manipulation of spin systems. Such a transition is enabled by the interplay between weak disorder and slow heating…

Disordered Systems and Neural Networks · Physics 2018-03-28 Soonwon Choi , Dmitry A. Abanin , Mikhail D. Lukin

The interplay of interactions and strong disorder can lead to an exotic quantum many-body localized (MBL) phase. Beyond the absence of transport, the MBL phase has distinctive signatures, such as slow dephasing and logarithmic entanglement…

Virtually all aspects of many-body atomic physics are challenging: experiments are technically demanding, datasets have become enormous, and the memory and CPU requirements for classical simulation of generic quantum systems often scale…

Quantum Gases · Physics 2026-05-19 I. B. Spielman amd J. P. Zwolak

Stark many-body localization (SMBL) is a phenomenon observed in interacting systems with a nearly uniform spatial gradient applied field. Contrasting to the traditional many-body localization phenomenon, SMBL does not require disorder. Here…

Disordered Systems and Neural Networks · Physics 2022-02-14 E. Vernek

This paper presents a general neural network framework for solving quantum few-body systems, extending prior methods to handle diverse particle masses, interaction types, and system configurations. Our architecture, which combines an…

Computational Physics · Physics 2026-03-16 Jin Ziqi , Paolo Recchia , Mario Gattobigio

Many-body localization (MBL) has been widely investigated for both fermions and bosons, it is, however, much less explored for anyons. Here we numerically calculate several physical characteristics related to MBL of a one-dimensional…

Disordered Systems and Neural Networks · Physics 2020-08-14 Guo-Qing Zhang , Dan-Wei Zhang , Zhi Li , Z. D. Wang , Shi-Liang Zhu

The experimental realization of increasingly complex synthetic quantum systems calls for the development of general theoretical methods, to validate and fully exploit quantum resources. Quantum-state tomography (QST) aims at reconstructing…

Disordered Systems and Neural Networks · Physics 2018-05-17 Giacomo Torlai , Guglielmo Mazzola , Juan Carrasquilla , Matthias Troyer , Roger Melko , Giuseppe Carleo

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 eigenstates. This is of paramount importance to understand:…

Disordered Systems and Neural Networks · Physics 2023-12-25 Giulio Biroli , Alexander K. Hartmann , Marco Tarzia

We study many-body localization (MBL) and delocalization from the perspective of integrals of motion (IOMs). MBL can be understood phenomenologically through the existence of macroscopically many localized IOMs. However, IOMs exist for all…

Strongly Correlated Electrons · Physics 2021-01-29 Louk Rademaker , Miguel Ortuno , Andres M. Somoza
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