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We present a theoretical study of the temporal and spatial coherence properties of a topological laser device built by including saturable gain on the edge sites of a Harper--Hofstadter lattice for photons. For small enough lattices the…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Ivan Amelio , Iacopo Carusotto

Both the Haldane spin-$1$ chain and dimerized chains of spin-$1/2$ exhibit topologically protected edge states that are robust against specific perturbations. Recently, such spin chains have been specifically assembled on surfaces and we…

Strongly Correlated Electrons · Physics 2025-06-03 Alexander Sattler , Maria Daghofer

We study a one-dimensional topological superconductor, the Kitaev chain, under the influence of a non-Hermitian but $\mathcal{PT}$-symmetric potential. This potential introduces gain and loss in the system in equal parts. We show that the…

Mesoscale and Nanoscale Physics · Physics 2017-05-17 Henri Menke , Moritz M. Hirschmann

The interplay between non-trivial band topology and strong electronic correlations is a central challenge in modern condensed matter physics. We investigate this competition on a two-leg ladder model with a p-wave-like hybridisation between…

Strongly Correlated Electrons · Physics 2025-11-13 Aminul Hussain , Nisa Ara , Rudranil Basu , Sudeshna Sen

We numerically investigate and experimentally demonstrate an in-situ topological band transition in a highly tunable mechanical system made of cylindrical granular particles. This system allows us to tune its inter-particle stiffness in a…

Pattern Formation and Solitons · Physics 2017-07-19 Rajesh Chaunsali , Aman Thakkar , Eunho Kim , Panayotis G. Kevrekidis , Jinkyu Yang

Topological invariants have proved useful for analyzing emergent function as they characterize a property of the entire system, and are insensitive to local details, disorder, and noise. They support boundary states, which reduce the system…

Statistical Mechanics · Physics 2025-10-10 Jaime Agudo-Canalejo , Evelyn Tang

The strong-field process of high-harmonic generation (HHG) has, in recent years, been treated from a quantum optical perspective in the emerging research area of strong-field quantum optics. These investigations show that HHG radiation is,…

Quantum Physics · Physics 2026-02-19 Christian Saugbjerg Lange , Lars Bojer Madsen

We describe phase-dependent wavelength scaling of high-order harmonic generation efficiency driven by ultra-short laser fields in the mid-infrared. We employ both numerical solution of the time-dependent Schr\"{o}dinger equation and the…

Atomic Physics · Physics 2015-06-17 I. Yavuz , E. A. Bleda , Z. Altun , T. Topcu

In the present paper, we investigate the high-order harmonic generation (HHG) from diatomic molecules with large internuclear distance using a strong field approximation (SFA) model. We find that the hump and dip structure emerges in the…

Atomic Physics · Physics 2009-11-13 Y. J. Chen , J. Liu

The generation of high harmonics is a strongly nonlinear effect that allows to probe properties of the target and to study electron dynamics in matter. It has been investigated in many different kinds of targets, including molecular gases,…

Quantum Physics · Physics 2026-05-06 Lina Bielke , Samuel Schöpa , Falk-Erik Wiechmann , Franziska Fennel , Dieter Bauer

We study the effects of topological (connectivity) disorder on phase transitions. We identify a broad class of random lattices whose disorder fluctuations decay much faster with increasing length scale than those of generic random systems,…

Disordered Systems and Neural Networks · Physics 2014-09-24 Hatem Barghathi , Thomas Vojta

Large language models suffer from "hallucinations"-logical inconsistencies induced by semantic noise. We propose that current architectures operate in a "Metric Phase," where causal order is vulnerable to spontaneous symmetry breaking.…

Machine Learning · Computer Science 2026-01-09 Ilmo Sung

Su-Schrieffer-Heeger (SSH) chains are paradigmatic examples of 1D topological insulators hosting zero-energy edge modes when the bulk of the system has a non-zero topological winding invariant. Recently, high-harmonic spectroscopy has been…

We investigate the robustness of {\it virtual} topological states -- topological phases away from the Fermi energy -- against the electron-electron interaction and band filling. As a case study, we employ a realistic model to investigate…

Materials Science · Physics 2025-05-20 Felipe Crasto de Lima , Roberto H. Miwa , Caio Lewenkopf , Adalberto Fazzio

We report the observation of second harmonic generation with high conversion efficiency $\sim 0.005\%$ in the terahertz regime from thin films of the topological insulator Bi$_2$Se$_3$ that exhibit the linear photogalvanic effect, measured…

Strongly Correlated Electrons · Physics 2024-06-11 Jonathan Stensberg , Xingyue Han , Zhuoliang Ni , Xiong Yao , Xiaoyu Yuan , Debarghya Mallick , Akshat Gandhi , Seongshik Oh , Liang Wu

The high-order harmonic generation in finite topological nanoribbons is investigated using a tight-binding description. The ribbons consist of hexagons and are almost one-dimensional. Two edge states emerge at the short edges of the ribbon…

Mesoscale and Nanoscale Physics · Physics 2024-03-12 Hannah Jürß , Dieter Bauer

The stability of interconnected linear time-invariant systems using singular values and the small gain theorem has been studied for many decades. The methods of mu-analysis and synthesis has been extensively developed to provide robustness…

Systems and Control · Electrical Eng. & Systems 2024-12-19 Luke Woolcock , Robert Schmid

There is renewed interest in direct-drive inertial confinement fusion, following the milestone December 2022 3.15 MJ ignition result on the National Ignition Facility. A key obstacle is the control of the two plasmon decay instability.…

Harnessing topological phases with their dissipationless edge-channels coupled with the effective engineering of quantum phase transitions is a spinal aspect of topological electronics. The accompanying symmetry protection leads to…

Mesoscale and Nanoscale Physics · Physics 2023-05-19 Siddhant Midha , Koustav Jana , Bhaskaran Muralidharan

Many natural systems display transitions among different dynamical regimes, which are difficult to identify when the data is noisy and high dimensional. A technologically relevant example is a fiber laser, which can display complex…

Optics · Physics 2018-04-04 Laura Carpi , Cristina Masoller