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A prominent feature of some one-dimensional non-Hermitian systems is that all right-eigenstates of the non-Hermitian Hamiltonian are localized in one end of the chain. The topological and trivial phases are distinguished by the emergence of…

Mesoscale and Nanoscale Physics · Physics 2019-07-17 Motohiko Ezawa

In a laser system non-Hermitian methods such as Parity-Time (PT) Symmetry and Supersymmetry (SUSY) have shown and demonstrated the ability to suppress unwanted lasing modes and, thus, achieved single mode lasing operation through the…

Starting from a double quantum dot realization of a minimal Kitaev chain, we demonstrate that non-Hermicity stabilizes the so-called poor man's Majorana zero modes in a region of parameter space that is much broader than in the Hermitian…

Mesoscale and Nanoscale Physics · Physics 2025-05-30 Jorge Cayao , Ramón Aguado

Explorations of symmetry and topology have led to important breakthroughs in quantum optics, but much richer behaviors arise from the non-Hermitian nature of light-matter interactions. A high-reflectivity, non-Hermitian optical mirror can…

Quantum Physics · Physics 2022-08-09 Yi-Cheng Wang , Jhih-Shih You , H. H. Jen

We present an approach to achieve zero modes in lattice models that do not rely on any symmetry or topology of the bulk, which are robust against disorder in the bulk of any type and strength. Such symmetry-free zero modes (SFZMs) are…

Optics · Physics 2023-12-12 Jose D. H. Rivero , Courtney Fleming , Bingkun Qi , Liang Feng , Li Ge

We report on a combined experimental and theoretical investigation into the normal modes of an all-fiber coupled cavity-quantum-electrodynamics system. The interaction between atomic ensembles and photons in the same cavities, and that…

Quantum Physics · Physics 2019-07-02 Donald H. White , Shinya Kato , Nikolett Nemet , Scott Parkins , Takao Aoki

Non-Hermitian systems with parity-time (PT) symmetric complex potentials can exhibit a phase transition when the degree of non-Hermiticity is increased. Two eigenstates coalesce at a transition point, which is known as the exceptional point…

Optics · Physics 2016-01-07 Kun Ding , Z. Q. Zhang , C. T. Chan

Parity-Time ($\mathcal{PT}$) symmetry has become an important concept in the design of synthetic optical materials, with exotic functionalities such as unidirectional transport and non-reciprocal reflection. At exceptional points, this…

Optics · Physics 2021-02-22 K. E. Ballantine , J. Ruostekoski

We propose a novel supersymmetry-inspired scheme for achieving robust single mode lasing in arrays of coupled microcavities, based on factorizing a given array Hamiltonian into its "supercharge" partner array. Pumping a single sublattice of…

Optics · Physics 2019-02-18 Daria A. Smirnova , Pramod Padmanabhan , Daniel Leykam

Symmetry is one of the cornerstones of modern physics and has profound implications in different areas. In symmetry-protected topological systems, symmetries are responsible for protecting surface states, which are at the heart of the…

Mesoscale and Nanoscale Physics · Physics 2024-05-10 E. Slootman , W. Cherifi , L. Eek , R. Arouca , E. J. Bergholtz , M. Bourennane , C. Morais Smith

Topological stability is an important property for topological materials. However, the non-Hermitian effects may change this situation. Here, we investigate the robustness of edge states in the non-Hermitian Kitaev chain with imbalanced…

Superconductivity · Physics 2021-12-08 Xiao-Ming Zhao , Cui-Xian Guo , Su-Peng Kou , Lin-Zhuang , Wu-Ming Liu

Optically-coupled semiconductor laser arrays are described by coupled rate equations. The coupled mode equations and carrier densities are included in the analysis, which inherently incorporate the carrier-induced nonlinearities including…

Optics · Physics 2018-05-02 Zihe Gao , Matthew T. Johnson , Kent D. Choquette

Non-Hermitian quantum field theories are a promising tool to study open quantum systems. These theories preserve unitarity if PT-symmetry is respected, and in that case an equivalent Hermitian description exists via the so-called Dyson map.…

High Energy Physics - Theory · Physics 2024-11-28 Daniel Arean , David Garcia-Fariña , Karl Landsteiner

One-dimensional structures of non-Hermitian plasmonic metallic nanospheres are studied in this paper. For a single sphere, solving Maxwell's equations results in quasi-stationary eigenmodes with complex quantized frequencies. Coupled mode…

Quantum Physics · Physics 2018-12-27 Amin Tayebi , Scott Rice

Phase transitions in non-Hermitian systems are at the focus of cutting edge theoretical and experimental research. On the one hand, parity-time- ($\cal PT$-) and anti-$\cal PT$-symmetric physics have gained ever-growing interest, due to the…

Quantum Physics · Physics 2023-01-10 Ievgen I. Arkhipov , Fabrizio Minganti

Non-Hermitian photonics provides a framework to engineer the gain and loss of optical modes in open systems, enabling control of their spectral and dynamical properties. In particular, the ability to dynamically tune modal losses offers a…

Controlling gain and loss of coupled optical cavities can induce non-Hermitian degeneracies of eigenstates, called exceptional points (EPs). Various unconventional phenomena around EPs have been reported, and expected to incorporate extra…

Parity-time (PT) symmetry in non-Hermitian optical systems promises distinct optical effects and applications not found in conservative optics. Its counterpart, anti-PT symmetry, subscribes another class of intriguing optical phenomena and…

Optics · Physics 2020-03-26 Heng Fan , Jiayang Chen , Zitong Zhao , Jianming Wen , Yuping Huang

Full wavefront control by photonic components requires that the spatial phase modulation on an incoming optical beam ranges from 0 to 2{\pi}. Because of their radiative coupling to the environment, all optical components are intrinsically…

Field quantization in three dimensional unstable optical systems is treated by expanding the vector potential in terms of non-Hermitean (Fox-Li) modes in both the cavity and external regions. The cavity non-Hermitean modes (NHM) are treated…

Quantum Physics · Physics 2009-11-07 S. A. Brown , B. J. Dalton