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Related papers: Non-Hermitian Aubry-Andr\'e-Harper model with shor…

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In this paper, the interplay of the non-Herimiticity and the cascade of delocalization transition in the quasi-periodic chain is studied. The study is applied in a non-Hermitian interpolating Aubry-Andr{\'e}-Fibonacci (IAAF) model, which…

Disordered Systems and Neural Networks · Physics 2021-07-07 Liang-Jun Zhai , Guang-Yao Huang , Shuai Yin

Wave dynamics in disordered open media is an intriguing topic, and has lately attracted a lot of attention in non-Hermitian physics, especially in photonics. In fact, spatial distributions of gain and loss elements are physically possible…

Statistical Mechanics · Physics 2024-10-15 Ananya Ghatak , Dimitrios H. Kaltsas , Manas Kulkarni , Konstantinos G. Makris

We investigate a variant of the Aubry-Andr\'e-Harper (AAH) model corresponding to a bosonic optical lattice of ultra cold atoms under an effective oscillatory magnetic field. In the limit of high frequency oscillation, the system maybe…

We analyze pairing of fermions in two dimensions for fully-gapped cases with broken parity (P) and time-reversal (T), especially cases in which the gap function is an orbital angular momentum ($l$) eigenstate, in particular $l=-1$ (p-wave,…

Mesoscale and Nanoscale Physics · Physics 2011-06-21 N. Read , Dmitry Green

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

Understanding the relationship between many-body localization and spectra in non-Hermitian many-body systems is crucial. In a one-dimensional clean, long-range interaction-induced non-Hermitian many-body localization system, we have…

Disordered Systems and Neural Networks · Physics 2025-10-10 Wen Wang , Han-Ze Li , Jian-Xin Zhong

We present a simple approach to create a strong $p$-wave interaction for fermions in an optical lattice. The crucial step is that the combination of a lattice setup with different orbital states and $s$-wave interactions can give rise to a…

The dynamical and topological properties of non-Hermitian systems have attracted great attention in recent years. In this work, we establish an intrinsic connection between two classes of intriguing phenomena -- topological phases and…

Quantum Physics · Physics 2021-06-18 Longwen Zhou , Qianqian Du

We develop a theoretical description of non-Hermitian time evolution that accounts for the break- down of the adiabatic theorem. We obtain closed-form expressions for the time-dependent state amplitudes, involving the complex eigen-energies…

Quantum Physics · Physics 2018-07-25 Hailong Wang , Li-Jun Lang , Y. D. Chong

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…

The effect of non-Hermiticity in band topology has sparked many discussions on non-Hermitian topological physics. It has long been known that non-Hermitian Hamiltonians can exhibit real energy spectra under the condition of parity-time…

Mesoscale and Nanoscale Physics · Physics 2024-03-20 Yang Long , Haoran Xue , Baile Zhang

The aim of this paper is to illustrate both analytically and numerically the interplay of two fundamentally distinct non-Hermitian mechanisms in a deep subwavelength regime. Considering a parity-time symmetric system of one-dimensional…

Optics · Physics 2025-10-01 Habib Ammari , Silvio Barandun , Ping Liu , Alexander Uhlmann

As the simplest non-Fermi liquids, orthogonal metals have gapped single-particle excitations but show normal metallic behaviors in thermodynamic and transport quantities. Such an exotic metallic state could be realized in a Hubbard model…

Strongly Correlated Electrons · Physics 2014-11-05 Yin Zhong , Lan Zhang , Han-Tao Lu , Hong-Gang Luo

We analyze the localization behavior in a non-Hermitian system subject to a quasiperiodic onsite potential. We characterize localization transitions using multiple quantitative indicators, including inverse participation ratio (IPR),…

Mesoscale and Nanoscale Physics · Physics 2026-01-01 Yu-Peng Wang , Chuo-Kai Chang , Ryo Okugawa , Chen-Hsuan Hsu

In this Letter, we first formulate an effective theory, which generally captures long-range proximity effects of a surface system weakly coupled to an s-wave superconductor. The long-range proximity effects include both the emergent…

Superconductivity · Physics 2018-12-05 H. Q. Wang , L. B. Shao , Y. X. Zhao , L. Sheng , B. G. Wang , D. Y. Xing

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

We study the localization transitions for coupled one-dimensional lattices with quasiperiodic potential. Besides the localized and extended phases there is an intermediate mixed phase which can be easily explained decoupling the system so…

Disordered Systems and Neural Networks · Physics 2019-05-21 M. Rossignolo , L. Dell'Anna

Non-Hermitian physics enriches the topological attributes of non-Abelian systems. Non-Abelian systems characterized by noncommutative braid patterns are associated with intriguing physical features and applications. Non-Abelian braiding of…

Optics · Physics 2025-06-30 Samit Kumar Gupta

We have studied the extended Hubbard model with pair hopping in the atomic limit for arbitrary electron density and chemical potential. The Hamiltonian considered consists of (i) the effective on-site interaction U and (ii) the intersite…

Strongly Correlated Electrons · Physics 2012-05-01 Konrad Kapcia , Stanisław Robaszkiewicz , Roman Micnas

The dynamics of Hermitian many-body quantum systems has long been a challenging subject due to the complexity induced by the particle-particle interactions. In contrast, this difficulty may be avoided in a well-designed non-Hermitian…

Quantum Physics · Physics 2023-05-16 X. M. Yang , Z. Song
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