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Related papers: Many-Body Non-Hermitian Skin Effect for Multipoles

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Non-Hermitian skin effect, which is a unique feature of non-Hermitian systems, exhibits the formation of an extensive number of boundary modes under open boundary conditions. However, its manifestation in higher dimensions remains elusive.…

Mesoscale and Nanoscale Physics · Physics 2026-03-27 Dipendu Halder , Srijata Lahiri , Saurabh Basu

Non-Hermitian skin effects are conventionally manifested as boundary localization of eigenstates in linear systems. In nonlinear settings, however, where eigenstates are no longer well defined, it becomes unclear how skin effects should be…

Mesoscale and Nanoscale Physics · Physics 2026-01-08 Shu Hamanaka

We show for generic quantum non-Hermitian tight-binding models that relaxation timescales of local observables are not controlled by the localization length $\xi_{\rm loc}$ associated with the non-Hermitian skin effect, contrary to popular…

Quantum Physics · Physics 2023-08-29 Gideon Lee , Alexander McDonald , Aashish Clerk

Certain non-Hermitian systems exhibit the skin effect, whereby the wavefunctions become exponentially localized at one edge of the system. Such exponential amplification of wavefunction has received significant attention due to its…

Quantum Physics · Physics 2024-03-26 Haowei Xu , Uroš Delić , Guoqing Wang , Changhao Li , Paola Cappellaro , Ju Li

The recent topological classification of non-Hermitian `Hamiltonians' is usually interpreted in terms of pure quantum states that decay or grow with time. However, many-body systems with loss and gain are typically better described by…

Quantum Physics · Physics 2026-01-08 Alexandre Chaduteau , Derek K. K. Lee , Frank Schindler

The non-Hermitian skin effect (NHSE), an anomalous localization behavior of the bulk states, is an inherently non-Hermitian phenomenon, which can not find a counterpart in Hermitian systems. However, the fragility of NHSE has been revealed…

Quantum Physics · Physics 2024-07-30 Shuai Li , Min Liu , Yue Zhang , Rui Tian , Maksims Arzamasovs , Bo Liu

A non-Hermitian system is characterized by the violation of energy conservation. As a result of unbalanced gain or loss in the forward and backward directions due to non-reciprocal couplings, the eigenmodes of such systems exhibit extreme…

Mesoscale and Nanoscale Physics · Physics 2021-08-04 S M Rafi-Ul-Islam , Zhuo Bin Siu , Haydar Sahin , Ching Hua Lee , Mansoor B. A. Jalil

Boundary conditions can have dramatic impact in non-Hermitian systems, as exemplified by the non-Hermitian skin effect. Focusing on one-dimensional non-Hermitian quasiperioidic lattices, we show that the interplay of quasiperiodicity and…

Quantum Physics · Physics 2026-03-24 Wenzhi Wang , Tianyu Li , Wei Yi

This work comprehensively investigates the non-Hermitian skin effect (NHSE) in a spinless Bernevig- Hughes-Zhang (BHZ)-like model in one dimension. It is generally believed that a system with non-reciprocal hopping amplitudes demonstrates…

Mesoscale and Nanoscale Physics · Physics 2024-05-24 Dipendu Halder , Saurabh Basu

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

Criticality in non-Hermitian systems unveils unique phase transitions and scaling behaviors beyond Hermitian paradigms, offering new insights into the interplay between gain/loss, non-reciprocity, and complex energy spectra. In this paper,…

Quantum Physics · Physics 2026-03-17 Yi Qin , Yee Sin Ang , Ching Hua Lee , Linhu Li

The interplay between band topology and material nonlinearity gives rise to a variety of novel phenomena, such as topological solitons and nonlinearity-induced topological phase transitions. However, most previous studies fall within the…

Mesoscale and Nanoscale Physics · Physics 2025-10-21 Junyao Wu , Rui-Chang Shen , Li Zhang , Fujia Chen , Bingbing Wang , Hongsheng Chen , Yihao Yang , Haoran Xue

Non-Hermitian skin effect and critical skin effect are unique features of non-Hermitian systems. In this Letter, we study an open system with its dynamics of single-particle correlation function effectively dominated by a non-Hermitian…

Mesoscale and Nanoscale Physics · Physics 2020-11-04 Chun-Hui Liu , Kai Zhang , Zhesen Yang , Shu Chen

We demonstrate that dislocations in two-dimensional non-Hermitian systems can give rise to density accumulation or depletion through the localization of an extensive number of states. These effects are shown by numerical simulations in a…

Mesoscale and Nanoscale Physics · Physics 2021-12-16 Balaganchi A. Bhargava , Ion Cosma Fulga , Jeroen van den Brink , Ali G. Moghaddam

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…

Mesoscale and Nanoscale Physics · Physics 2025-01-30 Nan Cheng , Chang Shu , Kai Zhang , Xiaoming Mao , Kai Sun

For decades, Hermiticity was considered an immutable axiom of quantum mechanics, essential for ensuring real energies and unitary evolution. This perspective has shifted radically, driven by the realization that non-Hermitian Hamiltonians…

Quantum Physics · Physics 2026-03-17 Federico Roccati , Federico Balducci

The non-Hermitian skin effect can be realized through asymmetric hopping between forward and backward directions, where all the modes of the system are localized at one edge of a finite 1D lattice. However, achieving such an asymmetric…

Mesoscale and Nanoscale Physics · Physics 2021-06-16 Xingran Xu , Huawen Xu , S. Mandal , R. Banerjee , Sanjib Ghosh , T. C. H. Liew

Non-Hermitian systems can exhibit extraordinary boundary behaviors, known as the non-Hermitian skin effects, where all the eigenstates are localized exponentially at one side of lattice model. To give a full understanding and control of…

Quantum Physics · Physics 2023-05-02 Xintong Zhang , Xiaoxiao Song , Shubo Zhang , Tengfei Zhang , Yuanjie Liao , Xinyi Cai , Jing Li

Non-Hermitian quantum many-body systems are a fascinating subject to be explored. Using the generalized density matrix renormalisation group method and complementary exact diagonalization, we elucidate the many-body ground states and…

Quantum Gases · Physics 2020-06-23 Dan-Wei Zhang , Yu-Lian Chen , Guo-Qing Zhang , Li-Jun Lang , Zhi Li , Shi-Liang Zhu

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…

Mesoscale and Nanoscale Physics · Physics 2025-08-13 Kai Zhang , Chang Shu , Kai Sun