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We study the transport of cold fermionic atoms trapped in optical lattices in the presence of artificial Abelian or non-Abelian gauge potentials. Such external potentials can be created in optical lattices in which atom tunneling is laser…

介观与纳米尺度物理 · 物理学 2007-12-17 N. Goldman , P. Gaspard

Aharonov-Bohm (AB) caging, a special flat-band localization mechanism, has spurred great interest in different areas of physics. AB caging can be harnessed to explore the rich and exotic physics of quantum transport in flatband systems,…

量子气体 · 物理学 2022-11-24 Hang Li , Zhaoli Dong , Stefano Longhi , Qian Liang , Dizhou Xie , Bo Yan

In this paper, we explore the localization transition and the scaling properties of both quasi-one-dimensional and two-dimensional quasiperiodic systems, which are constituted from coupling several Aubry-Andr\'{e} (AA) chains along the…

介观与纳米尺度物理 · 物理学 2015-06-22 Ai-Min Guo , X. C. Xie , Qing-feng Sun

We demonstrate the existence of generalized Aubry-Andr\'e self-duality in a class of non-Hermitian quasi-periodic lattices with complex potentials. From the self-duality relations, the analytical expression of mobility edges is derived.…

无序系统与神经网络 · 物理学 2020-07-14 Tong Liu , Hao Guo , Yong Pu , Stefano Longhi

Localization properties of particles in one-dimensional incommensurate lattices without interaction are investigated with models beyond the tight-binding Aubry-Andr\'e (AA) model. Based on a tight-binding t_1 - t_2 model with finite…

量子物理 · 物理学 2009-09-08 J. Biddle , B. Wang , D. J. Priour , S. Das Sarma

Non-Hermitian quasicrystal forms a unique class of matter with symmetry-breaking, localization and topological transitions induced by gain and loss or nonreciprocal effects. In this work, we introduce a non-Abelian generalization of the…

量子物理 · 物理学 2024-02-23 Longwen Zhou

Topological phases in spinless non-Hermitian models have been widely studied both theoretically and experimentally in some artificial materials using photonics, phononics and magnon. In this work, we investigate the interplay between…

介观与纳米尺度物理 · 物理学 2019-04-23 Jia-Qi Cai , Qing-Yun Yang , Zheng-Yuan Xue , Ming Gong , Guang-Can Guo , Yong Hu

We study the localization transition of an atom confined by an external optical lattice in a high-finesse cavity. The atom-cavity coupling yields an effective secondary lattice potential, whose wavelength is incommensurate with the…

In this article we present a pedagogical discussion of some of the optomechanical properties of a high finesse cavity loaded with ultracold atoms in laser induced synthetic gauge fields of different types. Essentially, the subject matter of…

量子气体 · 物理学 2016-04-11 Bikash Padhi , Sankalpa Ghosh

We study one-dimensional lattices with imaginary-valued Aubry-Andre-Harper (AAH) potentials. Such lattices can host edge states with purely imaginary eigenenergies, which differ from the edge states of the Hermitian AAH model and are…

量子物理 · 物理学 2024-10-25 Bofeng Zhu , Li-Jun Lang , Qiang Wang , Qi Jie Wang , Y. D. Chong

This article presents a comprehensive and rigorously formulated algebraic framework for investigating 1+1-dimensional SU(N) gauge theories within the paradigm of Algebraic Quantum Field Theory (AQFT), building upon foundational results…

高能物理 - 理论 · 物理学 2025-08-14 Fidele J. Twagirayezu

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…

Whether disordered and quasiperiodic many-body quantum systems host a long-lived localized phase in the thermodynamic limit has been the subject of intense recent debate. While in one dimension substantial evidence for the existence of such…

无序系统与神经网络 · 物理学 2022-11-30 Antonio Štrkalj , Elmer V. H. Doggen , Claudio Castelnovo

Localization in non-Hermitian quasicrystals can differ fundamentally from its Hermitian counterpart when non-reciprocity is spatially disordered. Here we study a one-dimensional non-Hermitian Aubry-Andr\'{e}-Harper chain with a Bernoulli…

无序系统与神经网络 · 物理学 2026-04-21 Guolin Nan , Zhijian Li , Feng Mei , Zhihao Xu

The Aubry-Andr\'e-Harper model provides a paradigmatic example of aperiodic order in a one-dimensional lattice displaying a delocalization-localization phase transition at a finite critical value $V_c$ of the quasiperiodic potential…

无序系统与神经网络 · 物理学 2021-03-29 Stefano Longhi

When a neutral atom moves in a properly designed laser field, its center-of-mass motion may mimic the dynamics of a charged particle in a magnetic field, with the emergence of a Lorentz-like force. In this Colloquium we present the physical…

量子气体 · 物理学 2011-12-02 Jean Dalibard , Fabrice Gerbier , Gediminas Juzeliūnas , Patrik Öhberg

We consider weakly interacting bosons in a 1D quasiperiodic potential (Aubry-Azbel-Harper model) in the regime where all single-particle states are localized. We show that the interparticle interaction may lead to the many-body…

无序系统与神经网络 · 物理学 2015-06-18 V. P. Michal , B. L. Altshuler , G. V. Shlyapnikov

Gauge theories, while describing fundamental interactions in nature, also emerge in a wide variety of physical systems. Abelian gauge fields have been predicted and observed in a number of novel quantum many-body systems, topological…

介观与纳米尺度物理 · 物理学 2016-06-02 T. Li , L. A. Yeoh , A. Srinivasan , O. Klochan , D. A. Ritchie , M. Y. Simmons , O. P. Sushkov , A. R Hamilton

The transport of deformable self-propelling objects like bacteria, worms, snakes, and robots through heterogeneous environments is poorly understood. In this paper, we use experiment, simulation, and theory to study a snake-like robot as it…

Non-Abelian gauge fields are versatile tools for synthesizing topological phenomena but have so far been mostly studied in Hermitian systems, where gauge flux has to be defined from a closed loop in order for gauge fields, whether Abelian…

光学 · 物理学 2024-01-31 Zehai Pang , Jinbing Hu , Yi Yang