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The topology of a single-particle band structure plays a fundamental role in understanding a multitude of physical phenomena. Motivated by the connection between quantum walks and such topological band structures, we demonstrate that a…

量子物理 · 物理学 2017-04-05 Vinay V. Ramasesh , Emmanuel Flurin , Mark S. Rudner , Irfan Siddiqi , Norman Y. Yao

In closed quantum systems, a dynamical phase transition is identified by nonanalytic behaviors of the return probability as a function of time. In this work, we study the nonunitary dynamics following quenches across exceptional points in a…

统计力学 · 物理学 2018-08-29 Longwen Zhou , Qing-hai Wang , Hailong Wang , Jiangbin Gong

Topology is central to understanding and engineering materials that display robust physical phenomena immune to imperfections. Different topological phases of matter are characterised by topological invariants. In energy-conserving…

Topological invariants have proved useful for analyzing emergent function as they characterize a property of the entire system, and are insensitive to local details, disorder, and noise. They support boundary states, which reduce the system…

统计力学 · 物理学 2025-10-10 Jaime Agudo-Canalejo , Evelyn Tang

The past decades have witnessed an explosion of interest in topological materials, and a lot of mathematical concepts have been introduced in condensed matter physics. Among them, the bulk-boundary correspondence is the central topic in…

介观与纳米尺度物理 · 物理学 2023-03-29 Nobuyuki Okuma , Masatoshi Sato

Non-Hermitian Hamiltonians enrich quantum physics by extending conventional phase diagrams, enabling novel topological phenomena, and realizing exceptional points with potential applications in quantum sensing. Here, we present an…

Topological winding in non-Hermitian systems are generally associated to the Bloch band properties of lattice Hamiltonians. However, in certain non-Hermitian models topological winding naturally arise from the dynamical evolution of the…

光学 · 物理学 2025-04-10 Stefano Longhi

Non-Hermitian systems as theoretical models of open or dissipative systems exhibit rich novel physical properties and fundamental issues in condensed matter physics.We propose a generalized local-global correspondence between the…

量子物理 · 物理学 2023-08-11 Annan Fan , Shi-Dong Liang

Recent years have seen a growing interest in topological phases beyond the standard paradigm of gapped, isolated systems. One recent direction is to explore topological features in non-hermitian systems that are commonly used as effective…

介观与纳米尺度物理 · 物理学 2026-02-03 Carlos Ortega-Taberner , Maria Hermanns

The non-Hermitian skin effect, by which the eigenstates of Hamiltonian are predominantly localized at the boundary, has revealed a strong sensitivity of non-Hermitian systems to the boundary condition. Here we experimentally observe a…

介观与纳米尺度物理 · 物理学 2024-08-20 Lei Xiao , Wen-Tan Xue , Fei Song , Yu-Min Hu , Wei Yi , Zhong Wang , Peng Xue

We experimentally demonstrate a dynamical classification approach for investigation of topological quantum phases using a solid-state spin system through nitrogen-vacancy (NV) center in diamond. Similar to the bulkboundary correspondence in…

介观与纳米尺度物理 · 物理学 2019-12-04 Ya Wang , Wentao Ji , Zihua Chai , Yuhang Guo , Mengqi Wang , Xiangyu Ye , Pei Yu , Long Zhang , Xi Qin , Pengfei Wang , Fazhan Shi , Xing Rong , Dawei Lu , Xiong-Jun Liu , Jiangfeng Du

Quantum dots are one of the paradigmatic solid-state systems for quantum engineering, providing an outstanding tunability to explore fundamental quantum phenomena. Here we show that non-Hermitian many-body topological modes can be realized…

介观与纳米尺度物理 · 物理学 2022-02-07 Timo Hyart , Jose L. Lado

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

Discrete-time quantum walks are known to exhibit exotic topological states and phases. Physical realization of quantum walks in a noisy environment may destroy these phases. We investigate the behavior of topological states in quantum walks…

量子物理 · 物理学 2021-05-20 Vikash Mittal , Aswathy Raj , Sanjib Dey , Sandeep K. Goyal

The hallmark of symmetry-protected topological (SPT) phases is the existence of anomalous boundary states, which can only be realized with the corresponding bulk system. In this work, we show that for every Hermitian anomalous boundary mode…

介观与纳米尺度物理 · 物理学 2019-11-20 Jong Yeon Lee , Junyeong Ahn , Hengyun Zhou , Ashvin Vishwanath

Phases of matter with non-trivial topological order are predicted to exhibit a variety of exotic phenomena, such as the existence robust localized bound states in 1D systems, and edge states in 2D systems, which are expected to display…

Non-Hermitian systems have been discussed mostly in the context of open systems and nonequilibrium. Recent experimental progress is much from optical, cold-atomic, and classical platforms due to the vast tunability and clear identification…

介观与纳米尺度物理 · 物理学 2024-01-25 Xiao-Xiao Zhang , Naoto Nagaosa

Quantum Hall phases have recently emerged as a platform to investigate non-Hermitian topology in condensed-matter systems. This platform is particularly interesting due to its tunability, which allows to modify the properties and topology…

The notion of topological phases extended to dynamical systems stimulates extensive studies, of which the characterization of non-equilibrium topological invariants is a central issue and usually necessitates the information of quantum…

量子物理 · 物理学 2021-10-11 Danying Yu , Bo Peng , Xianfeng Chen , Xiong-Jun Liu , Luqi Yuan

Real-valued band structures are foundational to analyzing periodic systems within the Hermitian description and have been experimentally well-established over recent decades. In contrast, non-Hermitian systems exhibit complex band…

量子物理 · 物理学 2025-10-24 Jia-Xin Zhong , Jing Lin , Kai Chen , Jing Lu , Kun Ding , Yun Jing