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Motivated by current interest in disordered systems of interacting electrons, the effectiveness of the geometrically averaged density of states, $\rho_g(\omega)$, as an order parameter for the Anderson transition is examined. In the context…

强关联电子 · 物理学 2009-11-11 Yun Song , W. A. Atkinson , R. Wortis

Different disorders lead to various localization and topological phenomena in condensed matter and artificial systems. Here we study the topological and localization properties in one-dimensional Su-Schrieffer-Heeger model with spatially…

无序系统与神经网络 · 物理学 2022-03-01 Shu-Na Liu , Guo-Qing Zhang , Ling-Zhi Tang , Dan-Wei Zhang

Quantum walk (QW) in presence of lattice disorders leads to a multitude of interesting phenomena, such as Anderson localization. While QW has been realized in various optical and atomic systems, its implementation with superconducting…

量子物理 · 物理学 2014-02-11 Joydip Ghosh

We study the robustness of 3D intrinsic topogical order under external perturbations by investigating the paradigmatic microscopic model, the 3D toric code in an external magnetic field. Exact dualities as well as variational calculations…

强关联电子 · 物理学 2019-06-26 D. A. Reiss , K. P. Schmidt

We present two complementary simulations that lead to an exploration of Anderson localization, a phenomenon in which wave diffusion is suppressed in disordered media by interference from multiple scattering. To build intuition, the first…

无序系统与神经网络 · 物理学 2026-01-06 Jake S. Bobowski

A different type of topological phase dubbed topological inverse Anderson insulators is proposed, which is characterized by the disorder-induced extended bulk states from the flat-band localization and topological edge states. Based on the…

介观与纳米尺度物理 · 物理学 2024-08-29 Zheng-Wei Zuo , Jing-Run Lin , Dawei Kang

The inevitable presence of decoherence effects in systems suitable for quantum computation necessitates effective error-correction schemes to protect information from noise. We compute the stability of the toric code to depolarization by…

We study the dynamics of a monitored single particle in a one-dimensional, Anderson-localized system. The time evolution is governed by Hamiltonian dynamics for fixed time intervals, interrupted by local, projective measurements. The…

无序系统与神经网络 · 物理学 2023-05-24 Paul Pöpperl , Igor V. Gornyi , Yuval Gefen

By employing Random Matrix Theory (RMT) and first-principle calculations, we investigated the behavior of Anderson localization in 1D, 2D and 3D systems characterized by a varying disorder. In particular, we considered random binary layer…

光学 · 物理学 2012-08-23 D. Molinari , A. Fratalocchi

Closed quantum systems with quenched randomness exhibit many-body localized regimes wherein they do not equilibrate even though prepared with macroscopic amounts of energy above their ground states. We show that such localized systems can…

统计力学 · 物理学 2013-10-24 David A. Huse , Rahul Nandkishore , Vadim Oganesyan , Arijeet Pal , S. L. Sondhi

Anderson localization is the ubiquitous phenomenon of inhibition of transport of classical and quantum waves in a disordered medium. In dimension one, it is well known that all states are localized, implying that the distribution of an…

无序系统与神经网络 · 物理学 2022-06-14 Clément Hainaut , Jean-François Clément , Pascal Szriftgiser , Jean Claude Garreau , Adam Rançon , Radu Chicireanu

Topological lasers and random lasers embody two contrasting strategies for disorder management in photonics: the former suppresses disorder via protected edge transport, while the latter exploits multiple scattering for feedback. Here, we…

光学 · 物理学 2026-04-06 Hang-Zheng Shen , Xian-Hao Wei , Xi-Wang Luo , Zheng-Wei Zhou

We consider a noninteracting disordered system designed to model particle diffusion, relaxation in glasses, and impurity bands of semiconductors. Disorder originates in the random spatial distribution of sites. We find strong numerical…

无序系统与神经网络 · 物理学 2015-03-17 Jacob J. Krich , Alán Aspuru-Guzik

The ability to store information is of fundamental importance to any computer, be it classical or quantum. To identify systems for quantum memories which rely, analogously to classical memories, on passive error protection…

量子物理 · 物理学 2015-05-14 Stefano Chesi , Beat Röthlisberger , Daniel Loss

Electrons at the Fermi energy may lose their ability to propagate to long distances in certain random media. We use Green functions and solve parquet equations for the non-local electron-hole vertex in high spatial dimensions to describe…

无序系统与神经网络 · 物理学 2025-05-12 Václav Janiš

Non-Markovian quantum effects are typically observed in systems interacting with structured reservoirs. Discrete-time quantum walks are prime example of such systems in which, quantum memory arises due to the controlled interaction between…

量子物理 · 物理学 2018-07-18 N. Pradeep Kumar , Subhashish Banerjee , C. M. Chandrashekar

We introduce a characterization of topological order based on bulk oscillations of the entanglement entropy and the definition of an `entanglement gap', showing that it is generally applicable to pure and disordered quantum systems. Using…

强关联电子 · 物理学 2020-07-01 Chunyu Tan , Hubert Saleur , Stephan Haas

We study the interplay of disorder and interaction effects including bosonic degrees of freedom in the framework of a generic one-dimensional transport model, the Anderson-Edwards model. Using the density-matrix renormalization group…

强关联电子 · 物理学 2015-06-11 S. Nishimoto , S. Ejima , H. Fehske

We show, using quasi-exact numerical simulations, that Anderson localization of one-dimensional particles in a disordered potential survives in the presence of attractive interaction between particles. The localization length of the…

Time is the odd dimension out: Unlike space, it follows the arrow of time, forbidding back-reflections and requiring momentum yet not energy conservation. Tailored temporal variations manipulate momentum bands and engineer waves in time. We…