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The disordered quantum world hosts three fundamental types of states: extended, localized, and critical, of which the critical states are confined to fine-tuned critical points or mobility edges in randomly disordered systems. The…

Anderson localization physics features three fundamental types of eigenstates: extended, localized, and critical, with the third one exhibiting the exotic properties in-between the former two. Confirming the presence of critical states is…

Anderson localization describes disorder-induced phase transitions, distinguishing between localized and extended states. In quasiperiodic systems, a third multifractal state emerges, characterized by unique energy and wave functions.…

无序系统与神经网络 · 物理学 2025-10-15 Shan-Zhong Li , Yi-Cai Zhang , Yucheng Wang , Shanchao Zhang , Shi-Liang Zhu , Zhi Li

Conventionally the mobility edge (ME) separating extended states from localized ones is a central concept in understanding Anderson localization transition. The critical state, being delocalized and non-ergodic, is a third type of…

无序系统与神经网络 · 物理学 2022-11-17 Yucheng Wang

We construct a quasiperiodic lattice model in curved spacetime to explore the crossover concerning both condensed matter and curved spacetime physics. We study the related Anderson localization and find that the model has a clear boundary…

无序系统与神经网络 · 物理学 2023-10-06 Shan-Zhong Li , Xue-Jia Yu , Shi-Liang Zhu , Zhi Li

Anderson transition in quasiperiodic potentials and the associated mobility edges have been a central focus in quantum simulation across multidisciplinary physical platforms. While these transitions have been experimentally observed in…

Systems with quasiperiodic disorder are known to exhibit localization transition in low dimension. After a critical strength of disorder all the states of the system become localized, thereby ceasing the particle motion in the system.…

量子气体 · 物理学 2021-03-17 Shilpi Roy , Tapan Mishra , B. Tanatar , Saurabh Basu

Studying critical states in quasiperiodic systems is of great importance in localization physics. Previously identified critical states share a common characteristic: they exhibit persistent critical features in the thermodynamic limit. In…

无序系统与神经网络 · 物理学 2025-09-26 Hui-Qiang Liang , Linhu Li , Guo-Fu Xu

We investigate a hybrid electro-optomechanical system that allows us to obtain controllable strong Kerr nonlinearities in the weak-coupling regime. We show that when the controllable electromechanical subsystem is close to its quantum…

量子物理 · 物理学 2013-10-25 Xin-You Lü , Wei-Min Zhang , Sahel Ashhab , Ying Wu , Franco Nori

The interplay among interaction, non-Hermiticity, and disorder opens a new avenue for engineering novel phase transitions. We here study the spectral and localization features of two interacting bosons in one-dimensional nonreciprocal…

无序系统与神经网络 · 物理学 2024-12-30 Lei Wang , Juan Kang , Ni Liu , Chaohua Wu , Gang Chen

Conventionally a mobility edge (ME) marks a critical energy that separates two different transport zones where all states are extended and localized, respectively. Here we propose a novel quasiperiodic spin-orbit coupled lattice model with…

无序系统与神经网络 · 物理学 2022-11-01 Yucheng Wang , Long Zhang , Wei Sun , Ting-Fung Jeffrey Poon , Xiong-Jun Liu

In disordered systems, our present understanding of the Anderson transition is hampered by the possible presence of interactions between particles. We demonstrate that in boson gases, even weak interactions deeply alter the very nature of…

无序系统与神经网络 · 物理学 2014-05-21 Nicolas Cherroret , Benoît Vermersch , Jean Claude Garreau , Dominique Delande

The interplay of topology and disorder in quantum dynamics has recently attracted significant attention across diverse platforms, including solid-state devices, ultracold atoms, and photonic systems. Here, we report on a topological…

We investigate the zero-temperature metal-insulator transition in a one-dimensional two-component Fermi gas in the presence of a quasi-periodic potential resulting from the superposition of two optical lattices of equal intensity but…

量子气体 · 物理学 2017-01-25 Sebastiano Pilati , Vipin Kerala Varma

We study quantum phase transitions of three-dimensional disordered systems in the chiral classes (AIII and BDI) with and without weak topological indices. We show that the systems with a nontrivial weak topological index universally exhibit…

无序系统与神经网络 · 物理学 2023-08-03 Zhenyu Xiao , Kohei Kawabata , Xunlong Luo , Tomi Ohtsuki , Ryuichi Shindou

We study the phenomena of Anderson localization in the presence of nonlinear interaction on a lattice. A class of nonlinear Schrodinger models with arbitrary power nonlinearity is analyzed. We conceive the various regimes of behavior,…

混沌动力学 · 物理学 2015-06-19 Alexander V. Milovanov , Alexander Iomin

In this paper, the influence of the quasidisorder on a two-dimensional system is studied. We find that there exists a topological phase transition accompanied by a transverse Anderson localization. The topological properties are…

无序系统与神经网络 · 物理学 2023-08-09 Shujie Cheng , Reza Asgari , Gao Xianlong

We analyze the nonlinear optical response of a four-level atomic system driven into a tripod configuration. The large cross-Kerr nonlinearities that occurr in such a system are shown to produce nonlinear phase shift of order $\pi$. Such a…

量子物理 · 物理学 2009-11-10 S. Rebic , D. Vitali , C. Ottaviani , P. Tombesi , M. Artoni , F. Cataliotti , R. Corbalan

The mobility edge (ME) is a crucial concept in understanding localization physics, marking the critical transition between extended and localized states in the energy spectrum. Anderson localization scaling theory predicts the absence of ME…

Topic of the thesis is a theoretical description of the ultracold atomic gases in one- and two-dimensional optical lattices in the presence of the disorder leading to the Anderson localization. The disorder is created by interaction of the…

量子气体 · 物理学 2017-07-19 Jan Major
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