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Related papers: Spreading dynamics in the Hatano-Nelson model with…

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We study the damping dynamics of the single-particle correlation for an open system under periodic and aperiodic order, which is dominated by the Lindblad master equation. In the absence of the aperiodic order, the Liouvillian superoperator…

Quantum Gases · Physics 2022-02-21 Peng He , Yu-Guo Liu , Jian-Te Wang , Shi-Liang Zhu

Non-Hermitian skin effects (NHSEs) have recently been extensively studied at the single-particle level. When many-body interactions become dominant, novel non-Hermitian phenomena can emerge. In this work, we propose an experimentally…

Quantum Gases · Physics 2025-07-14 Yang Li , Zhao-Fan Cai , Tao Liu , Franco Nori

The presence of disorder can severely impede wave transport, resulting in the famous Anderson localization. Previous theoretical studies found that Anderson transition can exist in one-dimensional (1D) non-Hermitian disordered rings with…

Applied Physics · Physics 2025-02-13 Wei Wang , Xulong Wang , Guancong Ma

One of unique features of non-Hermitian systems is the extreme sensitive to their boundary conditions, e.g., the emergence of non-Hermitian skin effect (NHSE) under the open boundary conditions, where most of bulk states become localized at…

Disordered Systems and Neural Networks · Physics 2025-01-16 Hao Wang , Jin Liu , Tao Liu , Wen-Bo Ju

Non-Hermitian skin effect, which refers to the phenomenon that an extensive number of eigenstates are localized at the boundary, has been widely studied in lattice models and experimentally observed in several classical systems. In this…

Quantum Gases · Physics 2023-01-02 Sibo Guo , Chenxiao Dong , Fuchun Zhang , Jiangping Hu , Zhesen Yang

The discovery of the non-Hermitian skin effect (NHSE) has revolutionized our understanding of wave propagation in non-Hermitian systems, highlighting unexpected localization effects beyond conventional theories. Here, we discover that NHSE,…

Optics · Physics 2024-11-14 Ningxin Kong , Chenghe Yu , Yilun Xu , Matteo Fadel , Xinyao Huang , Qiongyi He

While considering non-Hermitian Hamiltonians arising in the presence of dissipation, in most cases, the dissipation is taken to be frequency independent. However, this idealization may not always be applicable in experimental settings,…

Quantum Physics · Physics 2025-11-10 Sumit Kumar Jana , Ryo Hanai , Tan Van Vu , Hisao Hayakawa , Archak Purkayastha

The single orbital, one-dimensional, Hatano-Nelson Hamiltonian provides deep insight into the physics of non-Hermiticity, resulting from asymmetric left/right hopping, and its connections to localization. In the absence of disorder, its…

Strongly Correlated Electrons · Physics 2026-04-17 Jonah Huang , Rubem Mondaini , Nancy Aggarwal , Richard Scalettar

Recent advances in transport properties measurements of disordered materials and lattice simulations, using superconducting qubits, have rekindled interest in Anderson localization, motivating our study of highly disordered quantum…

Quantum Physics · Physics 2024-06-03 Ilia Tutunnikov , Jianshu Cao

The non-Hermitian skin effect, i.e. eigenstate condensation at the edges in lattices with open boundaries, is an exotic manifestation of non-Hermitian systems. In Bloch theory, an effective non-Hermitian Hamiltonian is generally used to…

Quantum Physics · Physics 2020-12-15 Stefano Longhi

Anderson localization predicts that wave spreading in disordered lattices can come to a complete halt, providing a universal mechanism for {dynamical localization}. In the one-dimensional Hermitian Anderson model with uncorrelated diagonal…

Disordered Systems and Neural Networks · Physics 2023-04-18 Stefano Longhi

We investigate the interplay between the non-Hermitian skin effect and Aubry-Andr\'e-Harper (AAH) quasiperiodic disorder in a one-dimensional Su-Schrieffer-Heeger (SSH) chain with nonreciprocal hopping. By exact diagonalization,…

Mesoscale and Nanoscale Physics · Physics 2026-05-19 Souvik Ghosh

The non-Hermitian edge burst is a phenomenon observed in non-Hermitian quantum dynamics, characterized by a significant accumulation of loss at the boundaries of a system. We present an example of the edge burst effect in a lossy lattice…

Quantum Physics · Physics 2025-06-11 G. Sen , C. Yuce

We study the transport dynamics of matter-waves in the presence of disorder and nonlinearity. An atomic Bose-Einstein condensate that is localized in a quasiperiodic lattice in the absence of atom-atom interaction shows instead a slow…

Disordered Systems and Neural Networks · Physics 2015-02-27 E. Lucioni , B. Deissler , L. Tanzi , G. Roati , M. Modugno , M. Zaccanti , M. Larcher , F. Dalfovo , M. Inguscio , G. Modugno

Non-Hermitian (NH) Hamiltonians have been shown to exhibit unique signatures, including the NH skin effect and an exponential spectral sensitivity with respect to boundary conditions. Here, we investigate as to what extent these remarkable…

Mesoscale and Nanoscale Physics · Physics 2023-12-29 Tommaso Micallo , Carl Lehmann , Jan Carl Budich

Standard scaling theory dictates that disorder leads to immediate localization in one-dimensional Hermitian systems. We demonstrate that non-Hermitian topology fundamentally alters this paradigm, protecting transport up to a substantial…

Disordered Systems and Neural Networks · Physics 2025-12-12 Ali Tozar

We demonstrate that crystal defects can act as a probe of intrinsic non-Hermitian topology. In particular, in point-gapped systems with periodic boundary conditions, a pair of dislocations may induce a non-Hermitian skin effect, where an…

Mesoscale and Nanoscale Physics · Physics 2021-10-13 Frank Schindler , Abhinav Prem

One of the most striking features of non-Hermitian quasiperiodic systems with arbitrarily small asymmetry in the hopping amplitudes and open boundaries is the accumulation of all the bulk eigenstates at one of the edges of the system,…

Disordered Systems and Neural Networks · Physics 2024-12-09 Aditi Chakrabarty , Sanjoy Datta

The non-Hermitian skin effect (NHSE) is a well-known phenomenon in open topological systems that causes a large number of eigenstates to become localized at the boundary. Although many aspects of its theory have been investigated in linear…

Mesoscale and Nanoscale Physics · Physics 2024-07-15 Hamed Ghaemi-Dizicheh

Understanding the extreme sensitivity of the eigenvalues of non-Hermitian Hamiltonians to the boundary conditions is of great importance when analyzing non-Hermitian systems, as it appears generically and is intimately connected to the skin…

Quantum Physics · Physics 2022-09-09 Elisabet Edvardsson , Eddy Ardonne