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Exceptional points (EPs), indicative of parity-time (PT) symmetry breaking, play a central role in non-Hermitian physics, yet most studies begin from deliberately engineered effective Hamiltonians whose parameters are tuned to exhibit…

量子物理 · 物理学 2026-03-12 Eric R. Bittner , Bhavay Tyagi , Kevin E. Bassler

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…

量子物理 · 物理学 2014-04-09 Atushi Tanaka , Sang Wook Kim , Taksu Cheon

The construction of exactly-solvable models has recently been advanced by considering integrable $T\bar{T}$ deformations and related Hamiltonian deformations in quantum mechanics. We introduce a broader class of non-Hermitian Hamiltonian…

The chiral anomaly underlies a broad number of phenomena, from enhanced electronic transport in topological metals to anomalous currents in the quark-gluon plasma. The discovery of topological states of matter in non-Hermitian systems --…

介观与纳米尺度物理 · 物理学 2022-10-20 Sharareh Sayyad , Julia D. Hannukainen , Adolfo G. Grushin

Exceptional points (EPs) represent non-Hermitian degeneracies where eigenvalues and eigenvectors coalesce, giving rise to enhanced sensitivity and critically damped dynamics. We demonstrate that when an EP coincides with a dissipative phase…

量子物理 · 物理学 2026-04-14 Jongjun M. Lee

Non-Hermitian spectral degeneracies, known as exceptional points (EPs), feature simultaneous coalescence of both eigenvalues and the associated eigenstates of a system. A host of intriguing EP effects and their applications have been…

量子物理 · 物理学 2022-05-24 R. Huang , Ş. K. Özdemir , J. -Q. Liao , F. Minganti , L. -M. Kuang , Franco Nori , H. Jing

We propose a theoretical scheme to realize the controllable non-Hermitian qubit-qubit coupling by adding a high-loss resonator in tunable coupling superconducting quantum circuit. By changing the effective qubit-qubit coupling, phase and…

量子物理 · 物理学 2024-12-18 Hui Wang , Yan-Jun Zhao , Xun-Wei Xu

Eigenstates of a non-Hermitian system exist on complex Riemannian manifolds, with multiple sheets connecting at branch cuts and exceptional points (EPs). These eigenstates can evolve across different sheets, a process that naturally…

量子物理 · 物理学 2022-04-18 Weiyuan Tang , Kun Ding , Guancong Ma

Exceptional points (EPs) have attracted extensive research interest due to their intriguing properties. One of the hallmarks of EP physics is that dynamically encircling the EPs induces chiral mode switching, arising from the breakdown of…

We report an unusual buildup of the quantum coherence in a qubit subjected to non-Hermitian evolution generated by a Parity-Time ($\mathcal{PT}$) symmetric Hamiltonian, which is reinterpreted as a Hermitian system in a higher dimensional…

量子物理 · 物理学 2021-06-14 Javid Naikoo , Swati Kumari , A. K. Pan , Subhashish Banerjee

Photonic topological edge states in one-dimensional dimer chains have long been thought to be robust to structural perturbations by mapping the topological Su-Schrieffer-Heeger model of a solid-state system. However, the edge states at the…

应用物理 · 物理学 2020-07-10 Zhiwei Guo , Tengzhou Zhang , Juan Song , Haitao Jiang , Hong Chen

Quantum heat engines and refrigerators are open quantum systems, whose dynamics can be well understood using a non-Hermitian formalism. A prominent feature of non-Hermiticity is the existence of exceptional points (EPs), which has no…

The dynamical encirclement around a second order exceptional point (EP) and corresponding chirality driven nonadiabatic modal dynamics have attracted enormous attention in the topological study of various non-Hermitian systems. However,…

光学 · 物理学 2020-04-08 Sibnath Dey , Arnab Laha , Somnath Ghosh

The bulk Fermi arc is a fundamental non-Hermitian topological feature that connects two exceptional points (EPs), featuring the transition between Hermitian and non-Hermitian worlds. The bulk Fermi arc emerges when losses are introduced…

光学 · 物理学 2025-02-19 N. Solodovchenko , F. Zhang , M. Bochkarev , K. Samusev , M. Song , A. Bogdanov , M. Limonov

We introduce the exceptional topological insulator (ETI), a non-Hermitian topological state of matter that features exotic non-Hermitian surface states which can only exist within the three-dimensional topological bulk embedding. We show…

The supersymmetric structure of a generalized non-Hermitian driven two-level system is demonstrated. A unitary rotation turns the Hamiltonian into a more convenient form. After decoupling a set of differential equations, the supersymmetric…

量子物理 · 物理学 2025-10-16 Ivan A. Bocanegra-Garay , Luis M. Nieto

Dirac points (DP) in Hermitian systems play a key role in topological phenomena. Their existence in non-Hermitian systems is then desirable, but the addition of loss or gain transforms DPs into pairs of Exceptional Points (EPs) joined by a…

光学 · 物理学 2024-04-10 Pilar Pujol-Closa , Lluis Torner , David Artigas

The occurrence of exceptional points (EPs) is a fascinating non-Hermitian feature of open systems. A level-repulsion phenomenon between two complex states of an open system can be realized by positioning an EP and its time-reversal (T)…

光学 · 物理学 2024-05-15 Arnab Laha , Adam Miranowicz , R. K. Varshney , Somnath Ghosh

Recently, a Dirac exceptional point (EP) was reported in a non-Hermitian system. Unlike a Dirac point in Hermitian systems, this Dirac EP has coalesced eigenstates in addition to the degenerate energy. Also different from a typical EP, the…

量子物理 · 物理学 2023-03-17 Jose H. D. Rivero , Liang Feng , Li Ge

In open systems, topological edge states quickly lose coherence and cannot be used in topological quantum computation and quantum memory. Here we show that for dissipative quantum spin (or fermionic) systems, topologically non-Hermitian…

量子物理 · 物理学 2023-05-16 Xing-Shuo Xu , Xiang-Fa Zhou , Guang-Can Guo , Zheng-Wei Zhou