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The impact of local reflection symmetry on wave localization and transport within finite disordered chains is investigated. Local symmetries thereby play the role of a spatial correlation of variable range in the finite system. We find…

Disordered Systems and Neural Networks · Physics 2020-08-21 C. V. Morfonios , M. Röntgen , F. K. Diakonos , P. Schmelcher

Understanding the stochastic properties of conductance fluctuations in disordered mesoscopic systems is fundamental to quantum transport. In this work, we investigate the multifractal and ergodic properties of the fictitious time series of…

The interplay between interactions and quenched disorder can result in rich dynamical quantum phenomena far from equilibrium, particularly when many-body localization prevents the system from full thermalization. With the aim of tackling…

Disordered Systems and Neural Networks · Physics 2018-02-14 S. J. Thomson , M. Schiró

An important and incompletely answered question is whether a closed quantum system of many interacting particles can be localized by disorder. The time evolution of simple (unentangled) initial states is studied numerically for a system of…

Strongly Correlated Electrons · Physics 2012-07-11 Jens H. Bardarson , Frank Pollmann , Joel E. Moore

We develop an approach to characterize excited states of disordered many-body systems using spatially resolved structures of entanglement. We show that the behavior of the mutual information (MI) between two parties of a many-body system…

Disordered Systems and Neural Networks · Physics 2017-01-17 Javier M. Magán , Simone Paganelli , Vadim Oganesyan

We investigate the emergence of many-body dynamical localization (MBDL) in the Fock space of an interacting two-mode bosonic system subject to periodic driving. Using a mapping to the paradigmatic kicked-top model, we analyze the interplay…

We derive a dynamical bound on the propagation of correlations in local random quantum circuits - lattice spin systems where piecewise quantum operations - in space and time - occur with classical probabilities. Correlations are quantified…

Quantum Physics · Physics 2017-05-15 Siddhartha Santra , Radhakrishnan Balu

We experimentally observe many-body localization of interacting fermions in a one-dimensional quasi-random optical lattice. We identify the many-body localization transition through the relaxation dynamics of an initially-prepared charge…

Dynamical conductivity in a disordered one-dimensional model of interacting fermions is studied numerically at high temperatures and in the weak-interaction regime in order to find a signature of many-body localization and vanishing d.c.…

Strongly Correlated Electrons · Physics 2015-05-19 O. S. Barišić , P. Prelovšek

It is widely believed that many-body localisation in one dimension is fragile and can be easily destroyed by thermal inclusions, however there are still many open questions regarding the stability of the localised phase and under what…

Disordered Systems and Neural Networks · Physics 2023-03-30 S. J. Thomson

We introduce techniques for analysing the structure of quantum states of many-body localized (MBL) spin chains by identifying correlation clusters from pairwise correlations. These techniques proceed by interpreting pairwise correlations in…

Disordered Systems and Neural Networks · Physics 2022-02-16 Kévin Hémery , Frank Pollmann , Adam Smith

Snapshots of colloidal particles moving on disordered two-dimensional substrates can be used to extract equal-time many-body correlations in their positions. To understand the systematics of these correlations, we perform Monte Carlo…

Soft Condensed Matter · Physics 2019-10-23 N. Shankaraiah , Surajit Sengupta , Gautam I. Menon

We analyze a disordered central spin model, where a central spin interacts equally with each spin in a periodic one dimensional random-field Heisenberg chain. If the Heisenberg chain is initially in the many-body localized (MBL) phase, we…

Disordered Systems and Neural Networks · Physics 2018-11-07 Daniel Hetterich , Norman Y. Yao , Maksym Serbyn , Frank Pollmann , Björn Trauzettel

Strong disorder often has drastic consequences for quantum dynamics. This is best illustrated by the phenomenon of Anderson localization in non-interacting systems, where destructive quantum wave interference leads to the complete absence…

Disordered Systems and Neural Networks · Physics 2025-10-15 Ben T. McDonough , Marius Lemm , Andrew Lucas

We study the effects of a random magnetic field on a one-dimensional (1D) spin-1 chain with {\it correlated} nearest-neighbor $XY$ interaction. We show that this spin model can be exactly mapped onto the 1D disordered tight-binding model of…

Disordered Systems and Neural Networks · Physics 2022-12-16 Murod S. Bahovadinov , Wouter Buijsman , Aleksey K. Fedorov , Vladimir Gritsev , Denis V. Kurlov

This article reviews recent progress in understanding the physics of many-body localisation (MBL) in disordered and interacting quantum many-body systems, from the perspective of ergodicity breaking on the associated Fock space. This…

Disordered Systems and Neural Networks · Physics 2024-12-09 Sthitadhi Roy , David E. Logan

We study many-body localization for a disordered chain of spin 1/2 fermions. In [Phys. Rev. B \textbf{94}, 241104 (2016)], when both down and up components are exposed to the same strong disorder, the authors observe a power law growth of…

Disordered Systems and Neural Networks · Physics 2018-07-25 Jakub Zakrzewski , Dominique Delande

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

Spin chains with symmetry-protected edge zero modes can be seen as prototypical systems for exploring topological signatures in quantum systems. These are useful for robustly encoding quantum information. However in an experimental…

Disordered Systems and Neural Networks · Physics 2019-06-26 Marcel Goihl , Christian Krumnow , Marek Gluza , Jens Eisert , Nicolas Tarantino

We study the transition from a many-body localized phase to an ergodic phase in spin chain with correlated random magnetic fields. Using multiple statistical measures like gap statistics and extremal entanglement spectrum distributions, we…

Disordered Systems and Neural Networks · Physics 2022-09-14 Abhisek Samanta , Ahana Chakraborty , Rajdeep Sensarma