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Electron localization property of a random chain changing under the influence of a constant electric field has been studied. We have adopted the multifractal scaling formalism to explore the possible localization behavior in the system. We…

Disordered Systems and Neural Networks · Physics 2009-10-31 Parthapratim Biswas , Prabhat K Thakur

In the presence of quasiperiodic potentials, the celebrated Kitaev chain presents an intriguing phase diagram with ergodic, localized and and multifractal states. In this work, we generalize these results by studying the localization…

Disordered Systems and Neural Networks · Physics 2022-07-28 Joana Fraxanet , Utso Bhattacharya , Tobias Grass , Maciej Lewenstein , Alexandre Dauphin

We study localization and many-body localization transition in one dimensional systems in the presence of deterministic quasi-periodic potential. We use single-particle excitations obtained through single-particle Green's function in real…

Disordered Systems and Neural Networks · Physics 2024-03-15 Yogeshwar Prasad , Arti Garg

In the present study, the interplay among interaction, topology, quasiperiodicity, and non-Hermiticity is studied. The hard-core bosons model on a one-dimensional lattice with asymmetry hoppings and quasiperiodic onsite potentials is…

Disordered Systems and Neural Networks · Physics 2020-08-17 Liang-Jun Zhai , Shuai Yin , Guang-Yao Huang

Despite considerable efforts over the last decade, the high-energy phase diagram of the random-field Heisenberg chain still eludes our understanding, in particular the nature of the non-ergodic many-body localized (MBL) regime expected at…

Disordered Systems and Neural Networks · Physics 2025-12-19 Nicolas Laflorencie , Jeanne Colbois , Fabien Alet

Quasiperiodic long range order is intermediate between spatial periodicity and disorder, and the excitations in 1D quasiperiodic systems are believed to be transitional between extended and localized. These ideas are tested with a numerical…

Condensed Matter · Physics 2009-10-28 S. E. Burkov , B. E. C. Koltenbah , L. W. Bruch

When Reinforcement Learning (RL) agents are deployed in practice, they might impact their environment and change its dynamics. We propose a new framework to model this phenomenon, where the current environment depends on the deployed policy…

Machine Learning · Computer Science 2024-06-03 Ben Rank , Stelios Triantafyllou , Debmalya Mandal , Goran Radanovic

The main goal of this paper is to construct a wavelet-type random series representation for a random field $X$, defined by a multistable stochastic integral, which generates a multifractional multistable Riemann-Liouville (mmRL) process…

Probability · Mathematics 2020-04-14 Antoine Ayache , Julien Hamonier

Recent developments in matrix-product-state (MPS) investigations of many-body localization (MBL) are reviewed, with a discussion of benefits and limitations of the method. This approach allows one to explore the physics around the MBL…

Disordered Systems and Neural Networks · Physics 2022-04-29 Elmer V. H. Doggen , Igor V. Gornyi , Alexander D. Mirlin , Dmitry G. Polyakov

In this work, we report a massively parallel and time domain implementation of the 3D phase field model that can reach beyond micron scale and consider for arbitrary electrical and mechanical boundary conditions. The first part of the paper…

Materials Science · Physics 2012-03-27 Khalid Ashraf , Sayeef Salahuddin

While reinforcement learning (RL) provides a framework for learning through trial and error, translating RL algorithms into the real world has remained challenging. A major hurdle to real-world application arises from the development of…

Machine Learning · Computer Science 2022-05-12 Archit Sharma , Rehaan Ahmad , Chelsea Finn

We explore the stability of three-dimensional Weyl and Dirac semimetals subject to quasiperiodic potentials. We present numerical evidence that the semimetal is stable for weak quasiperiodic potentials, despite being unstable for weak…

Disordered Systems and Neural Networks · Physics 2020-06-23 J. H. Pixley , Justin H. Wilson , David A. Huse , Sarang Gopalakrishnan

Random Access is an important step in enabling the initial attachment of a User Equipment (UE) to a Base Station (gNB). The UE identifies itself by embedding a Preamble Index (RAPID) in the phase rotation of a known base sequence, which it…

Information Theory · Computer Science 2024-01-24 Rohit Singh , Anil Kumar Yerrapragada , Jeeva Keshav S , Radha Krishna Ganti

Quasicrystals are fascinating and important because of their unconventional atomic arrangements, which challenge traditional notions of crystalline structures. Unlike regular crystals, they lack translational symmetry and generate unique…

Using a combination of numerically exact and renormalization-group techniques we study the nonequilibrium transport of electrons in an one-dimensional interacting system subject to a quasiperiodic potential. For this purpose we calculate…

Disordered Systems and Neural Networks · Physics 2017-11-01 Yevgeny Bar Lev , Dante M. Kennes , Christian Klöckner , David R. Reichman , Christoph Karrasch

We consider a multichannel random access system in which each user accesses a single channel at each time slot to communicate with an access point (AP). Users arrive to the system at random and be activated for a certain period of time…

Signal Processing · Electrical Eng. & Systems 2021-05-11 Muhammad Sohaib , Jongjin Jeong , Sang-Woon Jeon

This paper considers a massive random access problem in which a large number of sporadically active devices wish to communicate with a base station (BS) equipped with massive multiple-input multiple-output (MIMO) antennas. Each device is…

Information Theory · Computer Science 2021-11-25 Zhilin Chen , Foad Sohrabi , Ya-Feng Liu , Wei Yu

Recently it has been aroused a great interest about explosive (i.e., discontinuous) transitions. They manifest in distinct systems, such as synchronization in coupled oscillators, percolation regime, absorbing phase transitions and more…

Statistical Mechanics · Physics 2017-10-25 Pedro E. Harunari , M. M. de Oliveira , C. E. Fiore

This research investigates the dynamics of a forced Lienard oscillator featuring asymmetric potential wells. We provide compelling evidence of extreme events (EE) in the system by manipulating the height of the potential well. In the case…

Chaotic Dynamics · Physics 2024-11-20 B. Kaviya , R. Suresh , V. K. Chandrasekar

We show that the tails of the asymptotic density distribution of a quantum wave packet that localizes in the the presence of random or quasiperiodic disorder can be described by the diagonal term of the projection over the eingenstates of…

Quantum Gases · Physics 2014-01-28 Marco Moratti , Michele Modugno