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Quantum emulators, owing to their large degree of tunability and control, allow the observation of fine aspects of closed quantum many-body systems, as either the regime where thermalization takes place or when it is halted by the presence…

We present a simplified strong-randomness renormalization group (RG) that captures some aspects of the many-body localization (MBL) phase transition in generic disordered one-dimensional systems. This RG can be formulated analytically, and…

Statistical Mechanics · Physics 2016-06-07 Liangsheng Zhang , Bo Zhao , Trithep Devakul , David A. Huse

We numerically investigate 1D Bose-Hubbard chains with onsite disorder by means of exact diagonalization. A primary focus of our work is on characterizing Fock-space localization in this model from the single-particle perspective. For this…

Strongly Correlated Electrons · Physics 2020-07-20 Miroslav Hopjan , Fabian Heidrich-Meisner

Many-body localization occurs in isolated quantum systems when Anderson localization persists in the presence of finite interactions. Despite strong evidence for the existence of a many-body localization transition a reliable extraction of…

Strongly Correlated Electrons · Physics 2014-09-17 Jonas A. Kjäll , Jens H. Bardarson , Frank Pollmann

Many-body localization (MBL) of a disordered interacting boson system in one dimension is studied numerically at the filling faction one-half. The von Neumann entanglement entropy SvN is commonly used to detect the MBL phase transition but…

Disordered Systems and Neural Networks · Physics 2024-03-07 Jie Chen , Chun Chen , Xiaoqun Wang

Disordered quantum systems undergoing a many-body localization (MBL) transition fail to reach thermal equilibrium under their own dynamics. Distinguishing between asymptotically localized or delocalized dynamics based on numerical results…

Statistical Mechanics · Physics 2022-06-28 Jonas Richter , Arijeet Pal

We explore the limitations of using imbalance dynamics as a diagnostic tool for many-body localization (MBL) and show that spatial averaging can mask important microscopic features. Focusing on the strongly disordered regime of the…

Disordered Systems and Neural Networks · Physics 2026-01-09 Asmi Haldar , Thibault Scoquart , Fabien Alet , Nicolas Laflorencie

A key property of many-body localization, the localization of quantum particles in systems with both quenched disorder and interactions, is the area law entanglement of even highly excited eigenstates of many-body localized Hamiltonians.…

Strongly Correlated Electrons · Physics 2017-01-11 Xiongjie Yu , David Pekker , Bryan K. Clark

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

It is typically assumed that disorder is essential to realize Anderson localization. Recently, a number of proposals have suggested that an interacting, translation invariant system can also exhibit localization. We examine these claims in…

Disordered Systems and Neural Networks · Physics 2016-12-14 N. Y. Yao , C. R. Laumann , J. I. Cirac , M. D. Lukin , J. E. Moore

Recently, the topics of many-body localization (MBL) and one-dimensional strongly interacting few-body systems have received a lot of interest. These two topics have been largely developed separately. However, the generality of the latter…

Detecting many-body localization (MBL) typically requires the calculation of high-energy eigenstates using numerical approaches. This study investigates methods that assume the use of a quantum device to detect disorder-induced…

Disordered Systems and Neural Networks · Physics 2022-10-31 Kazue Kudo

Non-Hermitian many-body localization (NH MBL) has emerged as a possible scenario for stable localization in open systems, as suggested by spectral indicators identifying a putative transition for finite system sizes. In this work, we shift…

Disordered Systems and Neural Networks · Physics 2025-10-20 Pietro Brighi , Marko Ljubotina , Federico Roccati , Federico Balducci

We consider a novel rigid body localization (RBL) method, based only on a set of measurements of the distances, as well as the angles between sensors of the vehicle to the anchor landmark points. A key point of the proposed method is to use…

Signal Processing · Electrical Eng. & Systems 2025-09-03 Niclas Führling , Giuseppe Abreu , David González G. , Osvaldo Gonsa

Quantum many-body simulation provides a straightforward way to understand fundamental physics and connect with quantum information applications. However, suffering from exponentially growing Hilbert space size, characterization in terms of…

Level statistics of systems that undergo many--body localization transition are studied. An analysis of the gap ratio statistics from the perspective of inter- and intra-sample randomness allows us to pin point differences between…

Disordered Systems and Neural Networks · Physics 2019-03-27 Piotr Sierant , Jakub Zakrzewski

We address the fate of many-body localization (MBL) of mid-spectrum eigenstates of a matter-free $U(1)$ quantum-link gauge theory Hamiltonian with random couplings on ladder geometries. Apart from level spacing distribution indicators like…

Disordered Systems and Neural Networks · Physics 2026-01-27 Indrajit Sau , Debasish Banerjee , Arnab Sen

We investigate many-body localization in the chain of interacting spins with a transverse power-law interaction, $J_{0}/r^{\alpha}$, and random on-site potentials, $\phi_i \in \left(-W/2,W/2\right)$, in the long-range limit, $\alpha< 3/2$,…

Disordered Systems and Neural Networks · Physics 2020-01-15 Andrii O. Maksymov , Alexander L. Burin

We discuss the problem of localization in two dimensional electron systems in the quantum Hall (single Landau level) regime. After briefly summarizing the well-studied problem of Anderson localization in the non-interacting case, we…

Disordered Systems and Neural Networks · Physics 2021-04-06 R. N. Bhatt , Akshay Krishna

In [Van Beeumen, et. al, HPC Asia 2020, https://www.doi.org/10.1145/3368474.3368497] a scalable and matrix-free eigensolver was proposed for studying the many-body localization (MBL) transition of two-level quantum spin chain models with…

Disordered Systems and Neural Networks · Physics 2020-12-02 Roel Van Beeumen , Khaled Z. Ibrahim , Gregory D. Kahanamoku-Meyer , Norman Y. Yao , Chao Yang