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Higher-order exceptional points in non-Hermitian systems have recently been used as a tool to engineer high-sensitivity devices, attracting tremendous attention from multidisciplinary fields. Here, we present a simple yet effective scheme…

光学 · 物理学 2022-08-31 Ambaresh Sahoo , Amarendra K. Sarma

We explore the topological properties of non-Hermitian nodal-link semimetals with dissipative cold atoms in a three-dimensional optical lattice. We construct a two-band continuum model in three dimensions with a spin-dependent gain and…

介观与纳米尺度物理 · 物理学 2020-08-12 Peng He , Jia-Hao Fu , Dan-Wei Zhang , Shi-Liang Zhu

Exceptional points (EPs) are non-Hermitian degeneracies where eigenvalues and eigenvectors coalesce, giving rise to unusual physical effects across scientific disciplines. The concept of EPs has recently been extended to nonlinear physical…

We propose an interacting nonhermitian model described by a two-mode quadratic Hamiltonian along with an interaction term to locate and analyze the presence of an exceptional point in the system. Each mode is guided by a Swanson-like…

量子物理 · 物理学 2022-08-23 Bijan Bagchi , Rahul Ghosh , Sauvik Sen

We demonstrate mesoscopic transport through quantum states in quasi-1D lattices maintaining the combination of parity and time-reversal symmetries by controlling energy gain and loss. We investigate the phase diagram of the non-Hermitian…

量子物理 · 物理学 2017-08-30 Jung-Wan Ryu , Nojoon Myoung , Hee Chul Park

We explore the near adiabatic dynamics in a non-Hermitian quantum many-body system by investigating a finite-time ramp of the imaginary vector potential in the interacting Hatano-Nelson model. The excess energy, the Loschmidt echo, and the…

量子物理 · 物理学 2025-03-24 Léonce Dupays , Adolfo del Campo , Balázs Dóra

The appearance of topological singularities, namely exceptional points (EPs) is an intriguing feature of parameter-dependent open quantum or wave systems. EPs are the special type of nonHermitian degeneracies where two (or more) eigenstates…

量子物理 · 物理学 2018-05-18 Sayan Bhattacherjee , Arnab Laha , Somnath Ghosh

The recent experimental implementation of condensed matter models in optical lattices has motivated research on their nonequilibrium behavior. Predictions on the dynamics of superconductors following a sudden quench of the pairing…

量子气体 · 物理学 2010-06-04 Michael Moeckel , Stefan Kehrein

Exceptional points (EPs), non-Hermitian degeneracies where both eigenvalues and eigenvectors coalesce, play a central role in the topology of non-Hermitian spectra. Recent advances have enabled the controlled creation and manipulation of…

介观与纳米尺度物理 · 物理学 2026-05-01 Jung-Wan Ryu , Chang-Hwan Yi

We study the long-range hopping limit of a one-dimensional array of $N$ equal-distanced quantum emitters in free space, where the hopping amplitude of emitter excitation is proportional to the inverse of the distance and equals the lattice…

量子物理 · 物理学 2025-01-23 Jimin Li , Zongping Gong

Non-Hermitian systems with parity-time symmetry have been developed rapidly and hold great promise for future applications. Unlike most existing works considering the symmetry of the free energy terms (e.g., gain-loss system), in this…

量子物理 · 物理学 2017-11-21 Wenlin Li , Chong Li , Heshan Song

Critical phase transitions contain a variety of deep and universal physics, and are intimately tied to thermodynamic quantities through scaling relations. Yet, these notions are challenged in the context of non-Hermiticity, where spatial or…

统计力学 · 物理学 2021-01-06 R. Arouca , C. H. Lee , C. Morais Smith

Dynamic encircling of exceptional points has attracted significant interest in recent years, as it can facilitate chiral transmission selectivity due to a nontrivial eigenstate evolution. Recently, multi-state systems have been explored,…

光学 · 物理学 2024-06-05 Aodong Li , Jian Wang , Andrea Alù , Lin Chen

Recently, open systems with balanced, spatially separated loss and gain have been realized and studied using non-Hermitian Hamiltonians that are invariant under the combined parity and time-reversal ($\mathcal{PT}$) operations. Here, we…

量子物理 · 物理学 2013-09-10 Harsha Vemuri , Yogesh N. Joglekar

Flat bands, in which kinetic energy is quenched and quantum states become macroscopically degenerate, host a rich variety of correlated and topological phases, from unconventional superconductors to fractional Chern insulators. In Hermitian…

介观与纳米尺度物理 · 物理学 2026-05-05 Juan Pablo Esparza , Vladimir Juričić

The ordinary time-dependent perturbation theory of quantum mechanics, that describes the interaction of a stationary system with a time-dependent perturbation, predicts that the transition probabilities induced by the perturbation are…

量子物理 · 物理学 2017-10-11 S. Longhi , G. Della Valle

We analyze a quantum walk on a bipartite one-dimensional lattice, in which the particle can decay whenever it visits one of the two sublattices. The corresponding non-Hermitian tight-binding problem with a complex potential for the decaying…

介观与纳米尺度物理 · 物理学 2009-11-13 M. S. Rudner , L. S. Levitov

Non-Hermiticity in quantum Hamiltonians leads to nonunitary time evolution and possibly complex energy eigenvalues, which can lead to a rich phenomenology with no Hermitian counterpart. In this work, we study the dynamics of an exactly…

量子物理 · 物理学 2023-10-25 Karin Sim , Nicolò Defenu , Paolo Molignini , R. Chitra

Motivated by the recent growing interest in the field of $\mathcal{P}\mathcal{T}$-symmetric Hamiltonian systems we theoretically study the emergency of singularities called Exceptional Points ($\textit{EP}$s) in the eigenspectrum of…

量子物理 · 物理学 2023-08-15 Grigory A. Starkov , Mikhail V. Fistul , Ilya M. Eremin

We describe a diagrammatic technique for non-Hermitian fermionic systems that is applicable in the steady state, and which allows addressing correlations effects by systematic expansion. Applying this method to exceptional points or rings,…

介观与纳米尺度物理 · 物理学 2020-01-29 Johan Carlström
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