Many-body Anderson localization in one dimensional systems

Anderson localization of a Rydberg electron along a classical orbit

Anderson localization is related to exponential localization of a particle in the configuration space in the presence of a disorder potential. Anderson localization can be also observed in the momentum space and corresponds to quantum suppression of classical diffusion in systems that are classically chaotic. Another kind of Anderson localization has been recently proposed, i.e. localization in the time domain due to the presence of {\it disorder} in time. That is, the probability density for the detection of a system at a fixed position in the configuration space is localized exponentially ar…

Quantum Correlations in Two-Particle Anderson Localization

We predict the quantum correlations between non-interacting particles evolving simultaneously in a disordered medium. While the particle density follows the single-particle dynamics and exhibits Anderson localization, the two-particle correlation develops unique features that depend on the quantum statistics of the particles and their initial separation. On short time scales, the localization of one particle becomes dependent on whether the other particle is localized or not. On long time scales, the localized particles show oscillatory correlations within the localization length. These effect…

Effects of Temperature and Magnetization on the Mott-Anderson Physics in one-dimensional Disordered Systems

We investigate the Mott-Anderson physics in interacting disordered one-dimensional chains through the average single-site entanglement quantified by the linear entropy, which is obtained via density-functional theory calculations. We show that the minimum disorder strength required to the so-called full Anderson localization $-$ characterized by the real-space localization of pairs $-$ is strongly dependent on the interaction regime. The degree of localization is found to be intrinsically related to the interplay between the correlations and the disorder potential. In magnetized systems, the m…

从标度无关局域到安德森局域化：一个尺寸依赖的转变

From scale-free to Anderson localization: a size-dependent transition

研究非厄米系统中标度无关局域态在无序作用下转变为安德森局域态，发现该转变依赖于系统尺寸，与Hatano-Nelson模型不同。

Anderson localization transitions with and without random potentials

We explore single-particle Anderson localization due to nonrandom quasiperiodic potentials in two and three dimensions. We introduce a class of self-dual models that generalize the one-dimensional Aubry-André model to higher dimensions. In three dimensions (3D) we find that the Anderson localization transitions appear to be in the same universality class as for random potentials. In scaling or renormalization group terms, this means that randomness of the potential is irrelevant at the Anderson localization transitions in 3D. In two dimensions (2D) we also explore the Ando model, which is in t…

Two parameters scaling approach to Anderson localization of weekly interacting BEC

We numerically study the Anderson localization of weekly interacting Bose-Einstein condensate in a one-dimensional disordered potential. We show that two parameters are needed to completely describe such system, and the density profile of which can be described with the sum of two exponential functions. This is a new attempt for precise description of systems with interplay of disorder and interaction.

光子量子行走中无本征态的安德森局域化

Anderson localization without eigenstates in photonic quantum walks

本研究针对含时驱动下安德森局域化易被破坏的问题，证明对硬币算符施加静态无序的离散时间光子量子行走中可观测无本征态局域化现象，且可推广至非厄米动力学。

Probing statistical properties of Anderson localization with quantum emitters

Wave propagation in disordered media can be strongly modified by multiple scattering and wave interference. Ultimately the so-called Anderson-localized regime is reached when the waves become strongly confined in space. So far, Anderson localization of light has been probed in transmission experiments by measuring the intensity of an external light source after propagation through a disordered medium. However, discriminating between Anderson localization and losses in these experiments remains a major challenge. Here we present an alternative approach where we use quantum emitters embedded in …

耗散晶格中的安德森局域化

Anderson localization in dissipative lattices

本文在 Lindblad 主方程框架下研究纯耗散安德森模型，发现尽管 Liouvillian 超算子的所有本征态均强谱局域化，系统仍表现出动力学退局域化，揭示了纯耗散晶格中谱局域化与动力学局域化对应关系的破缺。

高维非互易晶格中的各向异性安德森局域化

Anisotropic Anderson localization in higher-dimensional nonreciprocal lattices

本文研究高维非互易晶格中的安德森局域化，在二维Hatano-Nelson模型中发现各向异性混合模式，通过转移矩阵和有限尺寸标度确定迁移率边，揭示ALM-HM-ALM重入相变，并推广至无限维Bethe晶格。

结构无序诱导的 Anderson 局域化

Anderson localization induced by structural disorder

本文研究了三维结构无序晶格中 Anderson 局域化的发生，发现随结构无序强度增加会出现局域化转变，且该转变与常规在位无序诱导的 Anderson 局域化属同一普适类。

Anderson Localization on the Bethe Lattice using Cages and the Wegner Flow

Anderson localization on tree-like graphs such as the Bethe lattice, Cayley tree, or random regular graphs has attracted attention due to its apparent mathematical tractability, hypothesized connections to many-body localization, and the possibility of non-ergodic extended regimes. This behavior has been conjectured to also appear in many-body localization as a "bad metal" phase, and constitutes an intermediate possibility between the extremes of ergodic quantum chaos and integrable localization. Despite decades of research, a complete consensus understanding of this model remains elusive. Her…

Experimental observation of Anderson localization in laser-kicked molecular rotors

We observe and study the phenomenon of Anderson localization in a system of true quantum kicked rotors. Nitrogen molecules in a supersonic molecular jet are cooled down to 27~K and are rotationally excited by a periodic train of 24~high-intensity femtosecond pulses. Exponential distribution of the molecular angular momentum - the most unambiguous signature of Anderson localization - is measured directly by means of coherent Raman scattering. We demonstrate the suppressed growth of the molecular rotational energy with the number of laser kicks and study the dependence of the localization length…