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We propose a multi-scale diagonalization scheme to study disordered one-dimensional chains, in particular the transition between many-body localization (MBL) and the ergodic phase, expected to be governed by resonant spots. Our scheme…

Disordered Systems and Neural Networks · Physics 2018-10-10 Thimothée Thiery , François Huveneers , Markus Müller , Wojciech De Roeck

Phase transitions are driven by collective fluctuations of a system's constituents that emerge at a critical point. This mechanism has been extensively explored for classical and quantum systems in equilibrium, whose critical behavior is…

Many-body localisation is believed to be generically unstable in quantum systems with continuous non-Abelian symmetries, even in the presence of strong disorder. Breaking these symmetries can stabilise the localised phase, leading to the…

Disordered Systems and Neural Networks · Physics 2023-06-14 S. J. Thomson

Many-body localized (MBL) phases of disordered quantum many-particle systems have a number of unique properties, including failure to act as a thermal bath and protection of quantum coherence. Studying MBL is complicated by the effects of…

Disordered Systems and Neural Networks · Physics 2022-01-03 Michael Sonner , Alessio Lerose , Dmitry A. Abanin

We study the many-body localization transition in one-dimensional Hubbard chains using exact diagonalization and quantum chaos indicators. We also study dynamics in the delocalized (ergodic) and localized phases and discuss thermalization…

Quantum Gases · Physics 2015-12-18 Rubem Mondaini , Marcos Rigol

The phenomenon of many-body localised (MBL) systems has attracted significant interest in recent years, for its intriguing implications from a perspective of both condensed-matter and statistical physics: they are insulators even at…

Quantum Gases · Physics 2019-07-08 M. Goihl , M. Friesdorf , A. H. Werner , W. Brown , J. Eisert

Nonequilibrium dynamics in isolated quantum many-body systems displays a number of intriguing features, such as many-body localization (MBL) and prethermalization. Here we investigate a simple ladder system with disorder, in which various…

Quantum Physics · Physics 2020-09-23 Yang Zhao , Rajesh Narayanan , Jaeyoon Cho

Understanding how closed quantum systems dynamically approach thermal equilibrium presents a major unresolved problem in statistical physics. Generically, non-integrable quantum systems are expected to thermalize as they comply with the…

Many body localization (MBL) represents a unique physical phenomenon, providing a testing ground for exploring thermalization, or more precisely its failure. Here we characterize the MBL regime geometrically by the many-body quantum metric…

Disordered Systems and Neural Networks · Physics 2026-05-14 W. N. Faugno , Tomoki Ozawa

At low energy, the dynamics of excitations of many physical systems are locally constrained. Examples include frustrated anti-ferromagnets, fractional quantum Hall fluids and Rydberg atoms in the blockaded regime. Can such locally…

Disordered Systems and Neural Networks · Physics 2018-08-30 Chun Chen , Fiona Burnell , Anushya Chandran

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

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

Dephasing of spins is a major roadblock to scaling up the size of quantum computing systems. We explore the possibility of utilizing highly disordered environments which are in the Many-Body Localized phase to arrest this dephasing. We…

Disordered Systems and Neural Networks · Physics 2022-08-30 Shreyas Raman , Subroto Mukerjee

In contrast with Anderson localization where a genuine localization is observed in real space, the many-body localization (MBL) problem is much less understood in the Hilbert space, support of the eigenstates. In this work, using exact…

Disordered Systems and Neural Networks · Physics 2019-11-06 Nicolas Macé , Fabien Alet , Nicolas Laflorencie

Many-body localization is characterized by a slow logarithmic growth of the entanglement entropy after a global quantum quench while the local memory of an initial density imbalance remains at infinite time. We investigate how much the…

Disordered Systems and Neural Networks · Physics 2017-05-30 David J. Luitz , Nicolas Laflorencie , Fabien Alet

We investigate the robustness of the many-body localized (MBL) phase to the quantum-avalanche instability by studying the dynamics of a localized spin chain coupled to a $T=\infty$ thermal bath through its leftmost site. By analyzing local…

Many-body localized (MBL) systems do not approach thermal equilibrium under their intrinsic dynamics; MBL and conventional thermalizing systems form distinct dynamical phases of matter, separated by a phase transition at which equilibrium…

Disordered Systems and Neural Networks · Physics 2021-05-25 Sarang Gopalakrishnan , S. A. Parameswaran

We theoretically study the quench dynamics for an isolated Heisenberg spin chain with a random on-site magnetic field, which is one of the paradigmatic models of a many-body localization transition. We use the time-dependent variational…

Disordered Systems and Neural Networks · Physics 2018-11-14 Elmer V. H. Doggen , Frank Schindler , Konstantin S. Tikhonov , Alexander D. Mirlin , Titus Neupert , Dmitry G. Polyakov , Igor V. Gornyi

Many-body localization (MBL) in a one-dimensional Fermi Hubbard model with random on-site interactions is studied. While for this model all single-particle states are trivially delocalized, it is shown that for sufficiently strong…

Disordered Systems and Neural Networks · Physics 2016-11-22 Yevgeny Bar Lev , David R. Reichman , Yoav Sagi

Nonstabilizerness, also known as ``magic'', quantifies the deviation of quantum states from stabilizer states, capturing the complexity necessary for quantum computational advantage. In this study, we investigate the dynamics of…

Quantum Physics · Physics 2025-12-12 Pedro R. Nicácio Falcão , Piotr Sierant , Jakub Zakrzewski , Emanuele Tirrito