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Non-Hermitian systems give rise to distinct topological phenomena, yet their manifestations at temporal interfaces characterized by abrupt changes in system parameters remain largely unex plored. Upon an abrupt alteration of the Hamiltonian…

Non-Hermitian systems with non-reciprocal hopping may display the non-Hermitian skin effect, where states under open boundary conditions localize exponentially at one edge of the system. This localization has been linked to spectral winding…

无序系统与神经网络 · 物理学 2025-12-01 Clément Fortin , Kai Wang , T. Pereg-Barnea

We propose and experimentally demonstrate the hybridization of radiating topological interface states, analogous to Jackiw-Rebbi states but in gain media with radiation fields. This hybridization not only modifies energy levels under a…

Here, we develop a gauge-independent Green function approach to characterize the Chern invariants of generic non-Hermitian systems. It is shown that analogous to the Hermitian case, the Chern number can be expressed as an integral of the…

光学 · 物理学 2019-04-03 Mário G. Silveirinha

There has been much recent interest and progress on topological structures of the non-Hermitian Bloch bands. Here, we study the topological structures of non-Bloch bands of non-Hermitian multiband quantum systems under open boundary…

介观与纳米尺度物理 · 物理学 2024-09-10 Yongxu Fu , Yi Zhang

The complex energy bands of non-Hermitian systems braid in momentum space even in one dimension. Here, we reveal that the non-Hermitian braiding underlies the Hermitian topological physics with chiral symmetry under a general framework that…

介观与纳米尺度物理 · 物理学 2023-10-09 W. B. Rui , Y. X. Zhao , Z. D. Wang

The high sensitivity of the spectrum and wavefunctions to boundary conditions, termed the non-Hermitian skin effect, represents a fundamental aspect of non-Hermitian systems. While it endows non-Hermitian systems with unprecedented physical…

介观与纳米尺度物理 · 物理学 2025-01-30 Nan Cheng , Chang Shu , Kai Zhang , Xiaoming Mao , Kai Sun

Finite topologically non-trivial systems are often characterised by the presence of bound states at their physical edges. These topological edge modes can be distinguished from usual Shockley waves energetically, as their energies remain…

量子气体 · 物理学 2018-08-31 Callum W. Duncan , Patrik Öhberg , Manuel Valiente

The generalized Brillouin zone (GBZ), which is the core concept of the non-Bloch band theory to rebuild the bulk boundary correspondence in the non-Hermitian topology, appears as a closed loop generally. In this work, we find that even if…

介观与纳米尺度物理 · 物理学 2021-06-14 Gang-Feng Guo , Xi-Xi Bao , Lei Tan

While non-Hermitian Hamiltonians have been experimentally realized in cold atom systems, it remains an outstanding open question of how to experimentally measure their complex energy spectra in momentum space for a realistic system with…

量子气体 · 物理学 2022-08-30 Kai Li , Yong Xu

We investigate the many-particle and mean-field correspondence for a non-Hermitian N-particle Bose-Hubbard dimer where a complex onsite energy describes an effective decay from one of the modes. Recently a generalized mean-field…

量子物理 · 物理学 2010-07-22 Eva-Maria Graefe , Hans Jürgen Korsch , Astrid Elisa Niederle

Non-Hermitian systems enable continuous and smooth tuning of topological phases through externally controllable loss/gain parameters. Without altering the intrinsic lattice structure, merely fine-tuning the intensity or spatial distribution…

应用物理 · 物理学 2026-03-11 Shuanghuizhi Li , Bowei Wu , Tingfeng Ma , Jiaqi Zhang , Chenbowen Lou

Recently, the search for topological states of matter has turned to non-Hermitian systems, which exhibit a rich variety of unique properties without Hermitian counterparts. Lattices modeled through non-Hermitian Hamiltonians appear in the…

介观与纳米尺度物理 · 物理学 2019-01-21 V. M. Martinez Alvarez , J. E. Barrios Vargas , M. Berdakin , L. E. F. Foa Torres

We analyze chiral topological edge modes in a non-Hermitian variant of the 2D Dirac equation. Such modes appear at interfaces between media with different "masses" and/or signs of the "non-Hermitian charge". The existence of these edge…

介观与纳米尺度物理 · 物理学 2017-01-25 Daniel Leykam , Konstantin Y. Bliokh , Chunli Huang , Y. D. Chong , Franco Nori

We propose a geometric criterion of the topological phase transition for non-Hermitian systems. We define the length of the boundary of the bulk band in the complex energy plane for non-Hermitian systems. For one-dimensional systems, we…

量子物理 · 物理学 2023-08-14 Annan Fan , Shi-Dong Liang

Nonhermitian systems provide new avenues to create topological defect states. An unresolved general question is how much the formation of these states depends on asymmetric backscattering, be it nonreciprocal as in the nonhermitian skin…

光学 · 物理学 2019-12-04 Martí Bosch , Simon Malzard , Martina Hentschel , Henning Schomerus

The non-trivial topological features in the energy band of non-Hermitian systems provide promising pathways to achieve robust physical behaviors in classical or quantum open systems. A key topological feature, unique to non-Hermitian…

光学 · 物理学 2021-11-29 Kai Wang , Avik Dutt , Ki Youl Yang , Casey C. Wojcik , Jelena Vučković , Shanhui Fan

The non-Hermitian skin effect, characterized by a proliferation of exponentially localized edge modes in open-boundary systems, has led to the discovery of numerous novel physical phenomena that challenge the limits of conventional band…

介观与纳米尺度物理 · 物理学 2025-08-13 Kai Zhang , Chang Shu , Kai Sun

Periodic-boundary spectrum, open-boundary spectrum, as well as the generalized Brillouin zone (GBZ) are three essential properties of a one-dimensional non-Hermitian system. In this paper we illustrate that the deep connections between them…

其他凝聚态物理 · 物理学 2022-02-09 Deguang Wu , Jiao Xie , Yao Zhou , Jin An

The bulk-boundary correspondence, which relates topological properties of a material in the bulk to the presence of robust modes localized on the edge, is at the core of the now mature field of topological wave physics. More recently, it…

介观与纳米尺度物理 · 物理学 2026-05-12 Renaud Cote , Marc Pachebat , Antonin Coutant