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Exceptional points, that are spectral degeneracies in the parameter space of non-Hermitian systems, have evoked a massive interest in the optical domain owing to their striking consequences on optical behavior of commonly known systems.…

Optics · Physics 2023-01-18 Krishna Joshi , Sushil Mujumdar

The correspondence between exotic quantum holonomy that occurs in families of Hermitian cycles, and exceptional points (EPs) for non-Hermitian quantum theory is examined in quantum kicked tops. Under a suitable condition, an explicit…

Quantum Physics · Physics 2014-04-09 Atushi Tanaka , Sang Wook Kim , Taksu Cheon

Quantum interference underpins many quantum information protocols but is typically studied in lossless Hermitian systems. Here, we reveal an exceptional point induced phase transition in two photon Hong Ou Mandel interference within a lossy…

Atomic and Molecular Clusters · Physics 2025-11-21 Xing Lin , Shuang Zhang

Quantum phase transitions in certain non-Hermitian systems controlled by non-tridiagonal Hamiltonian matrices are found anomalous. In contrast to the known models with tridiagonal-matrix structure in which the geometric multiplicity of the…

Quantum Physics · Physics 2020-06-08 Miloslav Znojil , Denis I. Borisov

Quantum attributes of light have been related to non-classicality so far, i. e. to incompatibility with mixtures of coherent states. The progress in quantum optics indicates that this feature does not suffice to witness exotic behavior of…

Quantum Physics · Physics 2016-12-21 Lukáš Lachman , Radim Filip

Non-hermitian quantum systems can exhibit spectral degeneracies known as exceptional points, where two or more eigenvectors coalesce, leading to a non-diagonalizable Jordan block. It is known that symmetries can enhance the abundance of…

Quantum Physics · Physics 2022-11-15 Robin Schäfer , Jan C. Budich , David J. Luitz

Despite recent extensive studies of the non-Hermitian topology, understanding interaction effects is left as a crucial question. In this paper, we address interaction effects on exceptional points which are protected by the non-trivial…

Mesoscale and Nanoscale Physics · Physics 2023-02-16 Tsuneya Yoshida , Yasuhiro Hatsugai

We study impact of quantum phase transitions (QPTs) on the distribution of exceptional points (EPs) of the Hamiltonian in complex-extended parameter domain. Analyzing first- and second-order QPTs in the Lipkin model, we find an…

Quantum Physics · Physics 2018-01-17 Pavel Stránský , Martin Dvořák , Pavel Cejnar

The non-Hermitian dynamics of open systems deal with how intricate coherent effects of a closed system intertwine with the impact of coupling to an environment. The system-environment dynamics can then lead to so-called exceptional points,…

Strongly Correlated Electrons · Physics 2022-09-12 Andisheh Khedri , Dominic Horn , Oded Zilberberg

Optical systems obeying non-Hermitian dynamics have been the subject of intense and concerted investigation over the last two decades owing to their broad implications in photonics, acoustics, electronics as well as atomic physics. A vast…

Optics · Physics 2023-05-17 Abhishek Mondal , Shailja Sharma , Ritwick Das

A cranking harmonic oscillator model, widely used for the physics of fast rotating nuclei and Bose-Einstein condensates, is re-investigated in the context of PT-symmetry. The instability points of the model are identified as exceptional…

Quantum Physics · Physics 2007-09-27 W. D. Heiss , R. G. Nazmitdinov

Two descriptions are introduced and analyzed for a reflectivity estimation and detection scheme that does not involve measurement of photons scattered by the target. One description, provided by the Hamiltonian dynamics of the full…

Quantum Physics · Physics 2024-08-23 T. J. Volkoff

Loss is inevitable for the optical system due to absorption of materials, scattering caused by the defects and surface roughness. In quantum optical circuits, the loss can not only reduce the intensity of signal, but also affect the…

Optics · Physics 2017-11-22 Ming Li , Chang-Ling Zou , Guang-Can Guo , Xi-Feng Ren

We show that quantum optical systems preserving the total number of excitations admit a simple classification of possible resonant transitions (including effective), which can be classified by analizying the free Hamiltonian and the…

Quantum Physics · Physics 2007-05-23 A. B. Klimov , I. Sainz

Concepts like `typicality' and the `eigenstate thermalization hypothesis' aim at explaining the apparent equilibration of quantum systems, possibly after a very long time. However, these concepts are not concerned with the specific way in…

Quantum Physics · Physics 2018-12-12 Lars Knipschild , Jochen Gemmer

Many superconducting qubit systems use the dispersive interaction between the qubit and a coupled harmonic resonator to perform quantum state measurement. Previous works have found that such measurements can induce state transitions in the…

Non-Hermitian physics has become a fundamental framework for understanding open systems where gain and loss play essential roles, with impact across photonics, quantum science, and condensed matter. While the role of complex eigenvalues is…

Quantum Physics · Physics 2025-12-23 Kyu-Won Park , Soojoon Lee , Kabgyun Jeong

There has been rapid development of systems that yield strong interactions between freely propagating photons in one dimension via controlled coupling to quantum emitters. This raises interesting possibilities such as quantum information…

Exceptional points (EPs) in non-Hermitian systems have recently attracted wide interests and spawned intriguing prospects for enhanced sensing. However, EPs have not yet been realized in thermal atomic ensembles, which is one of the most…

Quantum Physics · Physics 2023-06-30 Chao Liang , Yuanjiang Tang , An-Ning Xu , Yong-Chun Liu

Exploring the deep insights into localization, disorder, and wave transport in non-Hermitian systems is an emergent area of research of relevance in different areas of physics. Engineered photonic lattices, with spatial regions of optical…

Optics · Physics 2025-04-10 Stefano Longhi
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