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Topological materials are of interest to both fundamental science and advanced technologies, because topological states are robust with respect to perturbations and dissipation. Experimental detection of topological invariants is thus in…

The cut-off regime of high-order harmonic generation (HHG) by atoms in an intense laser field is studied numerically and analytically. We find that the cut-off regime is characterized by equal dephasing between the successive harmonics. The…

Atomic Physics · Physics 2016-04-27 M. A. Khokhlova , V. V. Strelkov

The study of dissipative systems has attracted great attention, as dissipation engineering has become an important candidate towards manipulating light in classical and quantum ways. Here,we investigate the behavior of a topological system…

Optics · Physics 2024-01-22 Zhaohui Dong , Xianfeng Chen , Avik Dutt , Luqi Yuan

Topological phases support edge states that can be robust to material deformations and other perturbations. While well-studied in quantum systems, topological phases have also been observed in stochastic and biochemical systems, yet it…

Statistical Mechanics · Physics 2026-04-06 Ziyin Xiong , Aleksandra Nelson , Evelyn Tang

Phase-locked laser arrays have been extensively investigated in terms of their stability and nonlinear dynamics. Specifically, enhancing the phase-locking stability allows laser arrays to generate high-power and steerable coherent optical…

Optics · Physics 2021-06-24 Sizhu Jiang , Suruj S. Deka , Si Hui Pan , Yeshaiahu Fainman

Strong long-range hoppings up to third nearest neighbors may induce a topological phase transition in one-dimensional chains. Unlike the Su-Schrieffer-Heeger model, this transition from trivial to topological phase occurs with the emergence…

Interferometric measurements of high-harmonics induced by multiple laser fields in an emerging field of research that promises optimized yield of harmonics, and time and space-resolved nonlinear spectroscopy. Most of the measurements have…

Based on numerical simulation and local stability analysis we describe the structure of the phase space of the edge/triangle model of random graphs. We support simulation evidence with mathematical proof of continuity and discontinuity for…

Combinatorics · Mathematics 2017-10-25 Richard Kenyon , Charles Radin , Kui Ren , Lorenzo Sadun

We discover novel topological effects in the one-dimensional Kitaev chain modified by long-range Hamiltonian deformations in the hopping and pairing terms. This class of models display symmetry-protected topological order measured by the…

Strongly Correlated Electrons · Physics 2016-09-20 O. Viyuela , D. Vodola , G. Pupillo , M. A. Martin-Delgado

Topology is being widely adopted to understand and to categorize quantum matter in modern physics. The nexus of topology orders, which engenders distinct quantum phases with benefits to both fundamental research and practical applications…

We show that it is possible to successfully, rapidly and robustly transfer a topological vibrational edge mode across a time-varying mechanical chain. The stiffness values of the springs of the chain are arranged in an alternating staggered…

Classical Physics · Physics 2020-11-25 I. Brouzos , I. Kiorpelidis , F. K. Diakonos , G. Theocharis

We apply the theory of high-order harmonic generation by low-frequency laser fields in the strong field approximation to the study of the spatial and temporal coherence properties of the harmonics. We discuss the role of dynamically induced…

Quantum Physics · Physics 2007-05-23 Pascal Salières , Anne L'Huillier , Philippe Antoine , Maciej Lewenstein

The study of high-harmonic generation in confined quantum systems is vital to establishing a complete physical picture of harmonic generation from atoms and molecules to bulk solids. Based on a multilevel approach, we demonstrate how…

Mesoscale and Nanoscale Physics · Physics 2023-03-28 Xiao Zhang , Tao Zhu , Hongchuan Du , Hong-Gang Luo , Jeroen van den Brink , Rajyavardhan Ray

In clean and weakly disordered systems, topological and trivial phases having a finite bulk energy gap can transit to each other via a quantum critical point. In presence of strong disorder, both the nature of the phases and the associated…

Disordered Systems and Neural Networks · Physics 2025-06-26 Saikat Mondal , Adhip Agarwala

We investigate the robustness of Majorana edge modes under disorder and interactions. We exploit a recently found mapping of the interacting Kitaev chain in the symmetric region ($\mu = 0$, $t = \Delta$) to free fermions. Extending the…

Mesoscale and Nanoscale Physics · Physics 2018-01-03 Max McGinley , Johannes Knolle , Andreas Nunnenkamp

We study the phenomena of topological amplification in arrays of parametric oscillators. We find two phases of topological amplification, both with directional transport and exponential gain with the number of sites, and one of them…

Quantum Physics · Physics 2023-05-24 Álvaro Gómez-León , Tomás Ramos , Alejandro González-Tudela , Diego Porras

A theory for laser-driven electron dynamics and high-harmonic generation in bulk solids with two lattice sites per unit cell of arbitrary dimension is formulated. In tight-binding approximation, such solids can be described by $2\times 2$…

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

Non-Hermiticity enriches the contents of topological classification of matter including exceptional points, bulk-edge correspondence and skin effect. Gain and loss can be described by imaginary diagonal elements in Hamiltonians and the…

Mesoscale and Nanoscale Physics · Physics 2020-07-15 X. L. Zhao , L. B. Chen , L. B. Fu , X. X. Yi

Quasiperiodically driven fermionic systems can support topological phases not realized in equilibrium. The fermions are localized in the bulk, but support quantized energy currents at the edge. These phases were discovered through an…

Mesoscale and Nanoscale Physics · Physics 2022-10-19 David M. Long , Philip J. D. Crowley , Anushya Chandran

We investigate time-dependent spectra of the intermittent resonance fluorescence of a single, laser-driven, three-level atom due to electron shelving. After a quasi-stationary state of the strong transition, a slow decay due to shelving…