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We investigate the phase transition between an ergodic and a many-body localized phase in infinite anisotropic spin-$1/2$ Heisenberg chains with binary disorder. Starting from the N\'eel state, we analyze the decay of antiferromagnetic…

Disordered Systems and Neural Networks · Physics 2017-01-30 T. Enss , F. Andraschko , J. Sirker

Many-body localization (MBL) appears to be a robust example of ergodicity breaking in many-body interacting systems. Here, we review different aspects of MBL, concentrating on various ways the disorder may be introduced into the system…

Disordered Systems and Neural Networks · Physics 2026-01-15 Konrad Pawlik , Maksym Prodius , Pedro R. Nicácio Falcão , Jakub Zakrzewski

We theoretically investigate the behavior of a moving impurity immersed in a sea of fermionic atoms that are confined in a quasi-periodic (bichromatic) optical lattice, within a standard variational approach. We consider both repulsive and…

Quantum Gases · Physics 2016-05-11 Hui Hu , An-Bang Wang , Su Yi , Xia-Ji Liu

We investigate the possibility of a many-body mobility edge in the generalized Aubry-Andr\'e (GAA) model with interactions using the Shift-Invert Matrix Product States (SIMPS) algorithm [Phys. Rev. Lett. 118, 017201 (2017)]. The…

Disordered Systems and Neural Networks · Physics 2023-06-09 Nicholas Pomata , Sriram Ganeshan , Tzu-Chieh Wei

We study localization in a one-dimensional quasiperiodic lattice obtained by extending the Aubry-Andr\'e model with an additional $N$th-neighbor hopping term of strength $J_{N}$. This long-range tunneling couples successive windings of an…

Disordered Systems and Neural Networks · Physics 2026-05-19 Taylan Yildiz , B. Tanatar , Balázs Hetényi

We examine the dynamics of nearest-neighbor bipartite concurrence and total correlations in the spin-1/2 $XXZ$ model with random fields. We show, starting from factorized random initial states, that the concurrence can suffer entanglement…

Statistical Mechanics · Physics 2017-08-08 Steve Campbell , Matthew J. M. Power , Gabriele De Chiara

We study the many-body localization (MBL) transition of Floquet eigenstates in a driven, interacting fermionic chain with an incommensurate Aubry-Andr\'{e} potential and a time-periodic hopping amplitude as a function of the drive frequency…

Disordered Systems and Neural Networks · Physics 2022-01-21 Madhumita Sarkar , Roopayan Ghosh , Arnab Sen , K. Sengupta

In the presence of sufficiently strong disorder or quasiperiodic fields, an interacting many-body system can fail to thermalize and become many-body localized. The associated transition is of particular interest, since it occurs not only in…

Understanding the relationship between many-body localization and spectra in non-Hermitian many-body systems is crucial. In a one-dimensional clean, long-range interaction-induced non-Hermitian many-body localization system, we have…

Disordered Systems and Neural Networks · Physics 2025-10-10 Wen Wang , Han-Ze Li , Jian-Xin Zhong

Many-body localization (MBL) features are studied here for a large spin chain model with long range interactions. The model corresponds to cold atoms placed inside a cavity and driven by an external laser field with long range interactions…

Disordered Systems and Neural Networks · Physics 2022-02-28 Titas Chanda , Jakub Zakrzewski

The question whether Anderson insulators can persist to finite-strength interactions - a scenario dubbed many-body localization - has recently received a great deal of interest. The origin of such a many-body localized phase has been…

Disordered Systems and Neural Networks · Physics 2013-09-18 Bela Bauer , Chetan Nayak

We investigate localization properties in a two-coupled uniform chains with quasiperiodic modulation on interchain coupling strength. We demonstrate that this ladder is equivalent to a Aubry-Andre (AA) chain when two legs are symmetric.…

Disordered Systems and Neural Networks · Physics 2021-06-24 R. Wang , X. M. Yang , Z. Song

Many-body localization (MBL) is an intriguing physical phenomenon that arises from the interplay of interaction and disorder, allowing quantum systems to prevent thermalization. In this study, we investigate the MBL properties of the fully…

Disordered Systems and Neural Networks · Physics 2024-02-20 Jiameng Hong , Taotao Hu

Localization in one-dimensional interacting systems can be caused by disorder potentials or non-Hermiticity. The former phenomenon is the many-body localization (MBL), and the latter is the many-body non-Hermitian skin effect (NHSE). In…

Disordered Systems and Neural Networks · Physics 2023-08-14 Yi-Cheng Wang , Kuldeep Suthar , H. H. Jen , Yi-Ting Hsu , Jhih-Shih You

We study many-body localization (MBL) in a one-dimensional system of spinless fermions with a deterministic aperiodic potential in the presence of long-range interactions decaying as power-law $V_{ij}/(r_i-r_j)^\alpha$ with distance and…

Disordered Systems and Neural Networks · Physics 2021-02-09 Yogeshwar Prasad , Arti Garg

We investigate the transition from the many-body localized phase to the ergodic thermalized phase at an infinite temperature in an $XY$ spin chain with $L$ spins, which experiences power-law decaying interactions in the form of…

Quantum Gases · Physics 2019-12-18 Sebastian Schiffer , Jia Wang , Xia-Ji Liu , Hui Hu

Many-body localization in an $XY$ model with a long-range interaction is investigated. We show that in the regime of a high strength of disordering compared to the interaction an off-resonant flip-flop spin-spin interaction (hopping)…

Disordered Systems and Neural Networks · Physics 2015-11-17 Alexander L. Burin

We demonstrate many-body localization (MBL) transition in a one-dimensional isotropic XY chain with a weak next-nearest-neighbor frustration in a random magnetic field. We perform finite-size exact diagonalization calculations of…

Disordered Systems and Neural Networks · Physics 2022-08-17 M. S. Bahovadinov , D. V. Kurlov , S. I. Matveenko , B. L. Altshuler , G. V. Shlyapnikov

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 a quasiperiodic Aubry Andre lattice arranged along a spiral curve. In this setup, the changing angle of the spiral naturally stretches and compresses the distances between neighboring sites, which in turn modulates the hopping…

Quantum Gases · Physics 2026-01-21 Hemant Kumar Sharma
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