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We study the remanent magnetization in antiferromagnetic, many-body localized quantum spin chains, initialized in a fully magnetized state. Its long time limit is an order parameter for the localization transition, which is readily…

Disordered Systems and Neural Networks · Physics 2017-06-14 V. Ros , M. Mueller

We investigate charge relaxation in disordered and quasi-periodic quantum-wires of spin-less fermions ($t{-}V$-model) at different inhomogeneity strength $W$ in the localized and nearly-localized regime. Our observable is the time-dependent…

Strongly Correlated Electrons · Physics 2019-10-07 Felix Weiner , Ferdinand Evers , Soumya Bera

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

We study a canonical many-body-localized (MBL) system with power-law-correlated disorders: $s=\frac{1}{2}$ spin chain in a random magnetic field. The power-law-correlated disorder can control the critical regime between the MBL and thermal…

Statistical Mechanics · Physics 2020-10-20 Takahiro Orito , Yoshihito Kuno , Ikuo Ichinose

Dynamical localization is one of the most startling manifestations of quantum interference, where the evolution of a simple system is frozen out under a suitably tuned coherent periodic drive. Here, we show that, although any randomness in…

Statistical Mechanics · Physics 2015-03-17 Analabha Roy , Arnab Das

While the high-temperature spin diffusion in spin chains with random local fields has been the subject of numerous studies concerning the phenomenon of many-body localization (MBL), the energy diffusion in the same models has been much less…

Disordered Systems and Neural Networks · Physics 2025-07-08 J. Herbrych , P. Prelovšek

We explore the use of short-range entanglement measures, such as concurrence and negativity, and global entanglement measures such as geometric entanglement, as indicators of many-body localization (MBL) in the spectra of disordered spin…

Quantum Physics · Physics 2018-09-14 Colin G. West , Tzu-Chieh Wei

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

We study excitation transport in a two-dimensional system of randomly assembled spins with power-law hopping in two dimensions. This model can be realized in cold atom quantum simulators with Rydberg atoms. In these experiments, due to the…

Quantum Physics · Physics 2021-12-14 Jan Philipp Klinger , Martin Gärttner

This chapter addresses the question of quantum entanglement in disordered chains, focusing on the von-Neumann and R\'enyi entropies for three important classes of random systems: Anderson localized, infinite randomness criticality, and…

Disordered Systems and Neural Networks · Physics 2022-10-04 Nicolas Laflorencie

We investigate the occurrence of many-body localization (MBL) on a spin-1/2 transverse-field Ising model defined on a Chimera connectivity graph with random exchange interactions and longitudinal fields. We observe a transition from an…

The many-body localized (MBL) phase is characterized by a complete set of quasi-local integrals of motion and area-law entanglement of excited eigenstates. We study the effect of non-Abelian continuous symmetries on MBL, considering the…

Disordered Systems and Neural Networks · Physics 2017-07-26 Ivan V. Protopopov , Wen Wei Ho , Dmitry A. Abanin

We investigate the localization of electronic states in the integer quantum Hall effect using a magnetic localization landscape (MLL) approach. By studying a continuum Schr\"odinger model with disordered electrostatic potential, we…

Mesoscale and Nanoscale Physics · Physics 2025-10-07 Alioune Seye , Marcel Filoche

Disorder and interactions can lead to the breakdown of statistical mechanics in certain quantum systems, a phenomenon known as many-body localization (MBL). Much of the phenomenology of MBL emerges from the existence of $\ell$-bits, a set…

Disordered Systems and Neural Networks · Physics 2021-05-19 Eli Chertkov , Benjamin Villalonga , Bryan K. Clark

Recent work has focused on exploring many-body localization (MBL) in systems without quenched disorder: one such proposal is Stark MBL in which small perturbations to a strong linear potential yield localization. However, as with…

Disordered Systems and Neural Networks · Physics 2020-10-12 Scott Richard Taylor , Maximilian Schulz , Frank Pollmann , Roderich Moessner

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…

Confinement of excitations induces quasilocalized dynamics in disorder-free isolated quantum many-body systems in one spatial dimension. This occurrence is signalled by severe suppression of quantum correlation spreading and of entanglement…

For random quantum spin models, the strong disorder perturbative expansion of the Local Integrals of Motion (LIOMs) around the real-spin operators is revisited. The emphasis is on the links with other properties of the Many-Body-Localized…

Disordered Systems and Neural Networks · Physics 2018-05-01 Cecile Monthus

The presence and character of local integrals of motion -- quasi-local operators that commute with the Hamiltonian -- encode valuable information about the dynamics of a quantum system. In particular, strongly disordered many-body systems…

Disordered Systems and Neural Networks · Physics 2016-11-02 T. E. O'Brien , Dmitry A. Abanin , Guifre Vidal , Z. Papić

Many-body localization (MBL), characterized by the absence of thermalization and the violation of conventional thermodynamics, has elicited much interest both as a fundamental physical phenomenon and for practical applications in quantum…

Disordered Systems and Neural Networks · Physics 2019-12-17 Pai Peng , Zeyang Li , Haoxiong Yan , Ken Xuan Wei , Paola Cappellaro
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