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Related papers: Floquet $\pi$ Exceptional Points

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An example of exceptional points in the continuous spectrum of a real, pseudo-Hermitian Hamiltonian of von Neumann-Wigner type is presented and discussed. Remarkably, these exceptional points are associated with a double pole in the…

Quantum Physics · Physics 2015-05-04 E. Hernández , A. Jáuregui , D. Lohr , A. Mondragón

Conjugated polymers offer potential for many diverse applications but we still lack a fundamental microscopic understanding of their electronic structure. Elementary photoexcitations - excitons - span only a few nanometres of a molecule,…

We develop a unified theoretical picture for excitations in Mott systems, portraying both the heavy quasiparticle excitations and the Hubbard bands as features of an emergent Fermi liquid state formed in an extended Hilbert space, which is…

Strongly Correlated Electrons · Physics 2017-11-22 Nicola Lanatà , Tsung-Han Lee , Yongxin Yao , Vladimir Dobrosavljević

The topology of electrons on a lattice subject to a periodic driving is captured by the three-dimensional winding number of the propagator that describes time-evolution within a cycle. This index captures the homotopy class of such a…

Mathematical Physics · Physics 2019-10-23 Kiyonori Gomi , Clément Tauber

We report the theoretical discovery and characterization of higher-order Floquet topological phases dynamically generated in a periodically driven system with mirror symmetries. We demonstrate numerically and analytically that these phases…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Martin Rodriguez-Vega , Abhishek Kumar , Babak Seradjeh

In this work, a thorough exploration has been carried out to unravel the role of electron-phonon interaction (EPI) in a Bernevig-Hughes-Zhang (BHZ) quantum spin Hall (QSH) insulator subjected to a time-periodic step drive. It is observed…

Mesoscale and Nanoscale Physics · Physics 2025-09-09 Srijata Lahiri , Kuntal Bhattacharyya , Saurabh Basu

Topologically protected edge states exactly at topological phase boundaries challenge the conventional belief that topological states must be associated with a bulk energy gap. Because periodically driven (Floquet) systems host unusually…

Statistical Mechanics · Physics 2025-05-26 Longwen Zhou , Jiangbin Gong , Xue-Jia Yu

The analysis performed as well as extensive numerical simulations have revealed the possibility of the generation of homoclinic orbits as a result of homoclinic bifurcation in a porous pellet. A method has been proposed for the development…

Dynamical Systems · Mathematics 2026-02-10 Andrzej Burghardt , Marek Berezowski

Localisation-protected quantum order extends the idea of symmetry breaking and order in ground states to individual eigenstates at arbitrary energy. Examples include many-body localised static and $\pi$-spin glasses in Floquet systems. Such…

Disordered Systems and Neural Networks · Physics 2018-08-29 Sthitadhi Roy , Achilleas Lazarides

The exceptional point, known as the non-Hermitian degeneracy, has special topological structure, leading to various counterintuitive phenomena and novel applications, which are refreshing our cognition of quantum physics. One particularly…

Quantum Physics · Physics 2021-05-05 Wenquan Liu , Yang Wu , Chang-Kui Duan , Xing Rong , Jiangfeng Du

We review some recent work on the occurrence of coalescing eigenstates at exceptional points in non-Hermitian systems and their influence on physical quantities. We particularly focus on quantum dynamics near exceptional points in open…

Quantum Physics · Physics 2021-10-27 Savannah Garmon , Takafumi Sawada , Kenichi Noba , Gonzalo Ordonez

Exceptional points are spectral singularities where both eigenvalues and eigenvectors collapse onto a single mode, causing the system behavior to shift abruptly and making it highly responsive to even small perturbations. Although widely…

We establish a link between vorticity wave interaction and $\mathcal{PT}$-symmetry breaking in shear flow instabilities. The minimal dynamical system for two coupled counter-propagating vorticity waves is shown to be a non-Hermitian system…

Fluid Dynamics · Physics 2023-08-04 Cong Meng , Zhibin Guo

One-dimensional Floquet topological superconductors possess two types of degenerate Majorana edge modes at zero and $\pi$ quasieneriges, leaving more room for the design of boundary time crystals and quantum computing schemes than their…

Mesoscale and Nanoscale Physics · Physics 2023-09-06 Hailing Wu , Shenlin Wu , Longwen Zhou

We present a topological characterization of time-periodically driven two-band models in 2+1 dimensions as Hopf insulators. The intrinsic periodicity of the Floquet system with respect to both time and the underlying two-dimensional…

Quantum Gases · Physics 2019-11-13 F. Nur Ünal , André Eckardt , Robert-Jan Slager

Periodically driven systems, also known as Floquet systems, can realize symmetry protected topological (SPT) phases that cannot be found in equilibrium. Here, we seek to understand the effects of strong disorder on such SPT phases, working…

Disordered Systems and Neural Networks · Physics 2015-12-15 Yuval Gannot

Across natural and human-made systems, transition points mark sudden changes of order and are thus key to understanding overarching system features. Motivated by recent experimental observations, we here uncover an intriguing class of…

Adaptation and Self-Organizing Systems · Physics 2025-05-16 Seungjae Lee , Lennart J. Kuklinski , Marc Timme

We introduce a model of $2\pi$-flux loop semimetals which holds nodal loops described by a winding number $\nu=2$. By adding some extra terms, this model can be transformed into a recently discovered Hopf-link semimetal, and the symmetries…

Strongly Correlated Electrons · Physics 2017-09-06 Linhu Li , Stefano Chesi , Chuanhao Yin , Shu Chen

We analyze the time-domain dynamics of resonators supporting exceptional points (EPs), at which both the eigenfrequencies and the eigenmodes associated with perfect capture of an input wave coalesce. We find that a time-domain signature of…

Optics · Physics 2022-10-18 Asaf Farhi , Ahmed Mekawy , Andrea Alu , Douglas Stone

Periodic driving is a powerful tool to generate exotic topological phases without static counterparts, such as the anomalous chiral edge modes from bulk bands with zero Chern number and topological $\pi$ modes exhibiting period-doubled…

Optics · Physics 2025-04-22 Gang Jiang , Siyuan Zhang , Weiwei Zhu , Y. X. Zhao , Haoran Xue
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