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Related papers: PT-symmetric topological near-zero interface state

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We introduce a one-dimensional PT-symmetric system, which includes the cubic self-focusing, a double-well potential in the form of an infinitely deep potential box split in the middle by a delta-functional barrier of an effective height…

Optics · Physics 2018-04-02 Zhaopin Chen , Yongyao Li , Boris A. Malomed

I show that a single embedded non-Hermitian defect in a one-dimensional topological system at certain degrees of non-Hermiticity can remove the topological mode from the edge and restore it inside the lattice at the same place where the…

Quantum Physics · Physics 2022-07-26 Hamidreza Ramezani

We analyze the stability of a non-Hermitian coupler with respect to modulational inhomogeneous perturbations in the presence of unbalanced gain and loss. At the parity-time (PT) symmetry point the coupler is unstable. Suitable symmetry…

Pattern Formation and Solitons · Physics 2017-06-28 Yannis Kominis , Tassos Bountis , Sergej Flach

Topological phases and the associated multiple edge states are studied for parity and time-reversal $(\mathcal{PT})$ symmetric non-Hermitian open quantum systems by constructing a non-unitary three-step quantum walk retaining $\mathcal{PT}$…

Quantum Physics · Physics 2020-09-14 Makio Kawasaki , Ken Mochizuki , Norio Kawakami , Hideaki Obuse

Stability of solitons in parity-time (PT)-symmetric periodic potentials (optical lattices) is analyzed in both one- and two-dimensional systems. First we show analytically that when the strength of the gain-loss component in the PT lattice…

Optics · Physics 2015-06-03 Sean Nixon , Lijuan Ge , Jianke Yang

Recently, the search for topological states of matter has turned to non-Hermitian systems, which exhibit a rich variety of unique properties without Hermitian counterparts. Lattices modeled through non-Hermitian Hamiltonians appear in the…

Mesoscale and Nanoscale Physics · Physics 2019-01-21 V. M. Martinez Alvarez , J. E. Barrios Vargas , M. Berdakin , L. E. F. Foa Torres

A hallmark of topological band theory in periodic media is that bulk properties are not affected by boundary conditions. Remarkably, in certain non-Hermitian lattices the bulk properties are largely affected by boundaries, leading to such…

Optics · Physics 2020-12-15 Stefano Longhi

Atomic-scale helices exist as motifs for several material lattices. We examine a tight-binding model for a single one-dimensional monatomic chain with a p-orbital basis coiled into a helix. A topologically nontrivial phase emerging from…

Mesoscale and Nanoscale Physics · Physics 2017-10-04 Pengke Li , Jay D. Sau , Ian Appelbaum

We study a new class of chaotic systems with dynamical localization, where gain or loss mechanisms break the Hermiticity, while allowing for parity-time (PT) symmetry. For a value \gamma_PT of the gain or loss parameter the spectrum…

Disordered Systems and Neural Networks · Physics 2010-02-22 Carl T. West , Tsampikos Kottos , Tomaz Prosen

We experimentally reveal the emergence of edge states in a photonic lattice with orbital bands. We use a two-dimensional honeycomb lattice of coupled micropillars whose bulk spectrum shows four gapless bands arising from the coupling of…

Topology in quantum matter is typically associated with gapped phases. For example, in symmetry protected topological (SPT) phases, the bulk energy gap localizes edge modes near the boundary. In this work we identify a new mechanism that…

Strongly Correlated Electrons · Physics 2021-08-25 Ryan Thorngren , Ashvin Vishwanath , Ruben Verresen

A semiclassical picture of spontaneous symmetry breaking in light front field theory is formulated. It is based on a finite-volume quantization of self-interacting scalar fields obeying antiperiodic boundary conditions. This choice avoids a…

High Energy Physics - Theory · Physics 2008-12-18 L. Martinovic

We address the properties of fully three-dimensional solitons in complex parity-time (PT)-symmetric periodic lattices with focusing Kerr nonlinearity, and uncover that such lattices can stabilize both, fundamental and vortex-carrying…

Optics · Physics 2016-10-18 Yaroslav V. Kartashov , Chao Hang , Guoxiang Huang , Lluis Torner

The geometric phase and topological property for one-dimensional hybrid plasmonic-photonic crystals consisting of a simple lattice of graphene sheets are investigated systematically. For transverse magnetic waves, both plasmonic and…

Optics · Physics 2017-06-02 Lixin Ge , Liang Liu , Meng Xiao , Guiqiang Du , Lei Shi , Dezhuan Han , C. T. Chan , Jian Zi

The investigation of topological state transition in carefully designed photonic lattices is of high interest for fundamental research, as well as for applied studies such as manipulating light flow in on-chip photonic systems. Here, we…

The $\mathcal{PT}$-symmetric non-Hermitian systems have been widely studied and explored both in theory and in experiment these years due to various interesting features. In this work, we focus on the dynamical features of a triple-qubit…

Quantum Physics · Physics 2021-03-24 Jingwei Wen , Chao Zheng , Zhangdong Ye , Tao Xin , Guilu Long

We study the topological optical states in one-dimensional (1D) dimerized ultracold atomic chains, as an extension of the Su-Schrieffer-Heeger (SSH) model. By taking the fully retarded near-field and far-field dipole-dipole interactions…

Optics · Physics 2018-08-15 B. X. Wang , C. Y. Zhao

One of the hallmarks of topological insulators is the correspondence between the value of its bulk topological invariant and the number of topologically protected edge modes observed in a finite-sized sample. This bulk-boundary…

Mesoscale and Nanoscale Physics · Physics 2021-05-04 Ana Silva , Jasper van Wezel

Topology describes properties that remain unaffected by smooth distortions. Its main hallmark is the emergence of edge states localized at the boundary between regions characterized by distinct topological invariants. This feature offers…

Mesoscale and Nanoscale Physics · Physics 2017-11-08 P. St-Jean , V. Goblot , E. Galopin , A. Lemaître , T. Ozawa , L. Le Gratiet , I. Sagnes , J. Bloch , A. Amo

We propose that ultracold alkaline-earth-like atoms confined in one-dimensional optical lattice can realize a Kondo lattice model which hosts a symmetry-protected topological (SPT) phase and an associated quantum phase transition in a…

Quantum Gases · Physics 2017-10-25 Masaya Nakagawa , Norio Kawakami
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