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Optical periodic structures exhibiting a degenerate band edge (DBE) are of significant interest for various applications such as switching, sensing, high-power amplification, and lasing. At the edge of the bandgap in such structures, a…

Optics · Physics 2026-03-23 Kessem Zamir Abramovich , Jacob Scheuer

Robustly manipulating waves on subwavelength scales can be achieved by, firstly, designing a structure with a subwavelength band gap and, secondly, introducing a defect so that eigenfrequencies fall within the band gap. Such frequencies are…

Analysis of PDEs · Mathematics 2021-11-15 Habib Ammari , Bryn Davies , Erik Orvehed Hiltunen

We investigate nondegenerate parametric oscillations in a multimode superconducting microwave resonator that is terminated by a SQUID. The parametric effect is achieved by modulating magnetic flux through the SQUID at a frequency close to…

Time-reversal symmetry enables shaping input waves to control output waves in many linear and nonlinear systems; however energy dissipation violates such symmetry. We consider a saturated multimode fiber amplifier in which light generates…

Optics · Physics 2024-02-19 Chun-Wei Chen , Kabish Wisal , Mathias Fink , A. Douglas Stone , Hui Cao

We propose a scheme to simulate topological physics within a single degenerate cavity, whose modes are mapped to lattice sites. A crucial ingredient of the scheme is to construct a sharp boundary so that the open boundary condition can be…

Quantum Physics · Physics 2017-03-20 Xiang-Fa Zhou , Xi-Wang Luo , Su Wang , Guang-Can Guo , Xingxiang Zhou , Han Pu , Zheng-Wei Zhou

This paper investigates structural changes in the parameters of first-order autoregressive models by analyzing the edge eigenvalues of the precision matrices. Specifically, edge eigenvalues in the precision matrix are observed if and only…

Methodology · Statistics 2026-01-14 Junho Yang

Quantum spin Hall edge transport in two-dimensional transition-metal dichalcogenides depends on whether their one-dimensional edge channels are preserved under realistic substrates and device boundaries. Here we implement spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2025-08-19 Wei Li , Pier Philipsen , Thomas Brumme , Thomas Heine

We consider convection-diffusion problems in time-dependent domains and present a space-time finite element method based on quadrature in time which is simple to implement and avoids remeshing procedures as the domain is moving. The…

Numerical Analysis · Mathematics 2017-07-25 Sara Zahedi

We study twisted bilayer WSe$_2$ within a continuum moir\'e model and introduce a method for treating finite geometries directly in the continuum framework, overcoming limitations associated with momentum-space formulations and Wannier…

Mesoscale and Nanoscale Physics · Physics 2026-04-30 Yasser Saleem , Paweł Potasz , Anna Dyrdał , Björn Trauzettel , Ewelina M. Hankiewicz

We study the one-dimensional tight-binding model with quasi-periodic disorders, where the quasi-period is tuned to be very large. It is found that this type of model with large quasi-periodic disorders can also support the mobility edges,…

Disordered Systems and Neural Networks · Physics 2023-02-22 Qiyun Tang , Yan He

We study the scattering of edge states of 2D topological insulator (TI) in the uniform external magnetic field due to edge imperfections, common in realistic 2D TI samples. The external magnetic field breaks time reversal (TR) symmetry,…

Mesoscale and Nanoscale Physics · Physics 2025-01-22 A. S. Dotdaev , Ya. I. Rodionov , A. V. Rozhkov , P. D. Grigoriev

The change in the arrangement of magnetic dipole moments in a magnetic metasurface, due to the influence of an external static magnetic field, is discussed. Each meta-atom of the metasurface is composed of three identical disk-shaped…

Applied Physics · Physics 2023-10-11 Vladimir R. Tuz , Andrey B. Evlyukhin , Volodymyr I. Fesenko

Introducing an axis of reflectional symmetry in a quasicrystal leads to the creation of localised edge modes that can be used to build waveguides. We develop theory that characterises reflection-induced localised modes in materials that are…

Mathematical Physics · Physics 2022-09-01 Bryn Davies , Richard V Craster

Optical embedded eigenstates are localized modes of an open structure that are compatible to radiation yet they have infinite lifetime and diverging quality factors. Their realization in nanostructures finite in all dimensions is inherently…

Optics · Physics 2018-06-13 Alex Krasnok , Andrea Alu

Time-varying nanostructures allow us to control the spatial and temporal properties of light. The temporal modulation of the nanostructures constitutes an additional degree of freedom to control their scattering properties on demand and in…

We explicitly describe, in the language of four-dimensional N=1 supersymmetric field theory, what happens when the moduli of a heterotic Calabi-Yau compactification change so as to make the internal non-Abelian gauge fields…

High Energy Physics - Theory · Physics 2009-12-15 Lara B. Anderson , James Gray , Andre Lukas , Burt Ovrut

We demonstrate full control of acoustic and thermal periodic deformations at solid surfaces down to sub-nanosecond time scales and few-micrometer length scales via independent variation of the temporal and spatial phase of two optical…

Applied Physics · Physics 2019-08-28 J. -E. Pudell , M. Sander , R. Bauer , M. Bargheer , M. Herzog , P. Gaal

We construct moduli stacks of stable sheaves for surfaces fibered over marked nodal curves by using expanded degenerations. These moduli stacks carry a virtual class and therefore give rise to enumerative invariants. In the case of a…

Algebraic Geometry · Mathematics 2023-06-01 Nikolas Kuhn

Topological phases are often characterized by special edge states confined near the boundaries by an energy gap in the bulk. On raising temperature, these edge states are lost in a clean system due to mobile thermal excitations. Recently…

Disordered Systems and Neural Networks · Physics 2013-10-07 Yasaman Bahri , Ronen Vosk , Ehud Altman , Ashvin Vishwanath

Motivated by an application involving additively manufactured bioresorbable polymer scaffolds supporting bone tissue regeneration, we investigate the impact of uncertain geometry perturbations on the effective mechanical properties of…

Analysis of PDEs · Mathematics 2023-04-19 Patrick Dondl , Yongming Luo , Stefan Neukamm , Steve Wolff-Vorbeck