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We theoretically propose a scheme to synthesize photonic non-Abelian electric field and spin-orbit coupling (SOC) in the synthetic frequency dimension based on a polarization-multiplexed time-modulated ring resonator. Inside the ring…

Optics · Physics 2025-04-29 Bengy Tsz Tsun Wong , Zehai Pang , Yi Yang

Solitons in the fractional space, supported by lattice potentials, have recently attracted much interest. We consider the limit of deep one- and two-dimensional (1D and 2D) lattices in this system, featuring finite bandgaps separated by…

Optics · Physics 2022-01-10 Xiuye Liu , Boris A. Malomed , Jianhua Zeng

In this paper, the 2D band structure of a mixed-mode metamaterial resonator array for in-plane waves is investigated. The band structure in the interior and on the boundary of the irreducible Brillouin zone as well as 1D dispersion diagrams…

Applied Physics · Physics 2019-01-30 Alireza V. Amirkhizi , Weidi Wang

Degeneracy is an omnipresent phenomenon in various physical systems, which has its roots in the preservation of geometrical symmetry. In electronic and photonic crystal systems, very often this degeneracy can be broken by virtue of strong…

Optics · Physics 2022-11-23 Steffen Börm , Fatemeh Davoodi , Ralf Köhl , Nahid Talebi

A new method for calculation of band structure has been proposed based on the Green's function theory and local sampling. Potential energy in the Hamiltonian of Schrodinger's equation is approximated with a series of sampled Dirac delta…

Mesoscale and Nanoscale Physics · Physics 2010-02-24 Milad Khoshnegar , Sina Khorasani , Amirhossein Hosseinnia

Photonic flat bands are crucial for enabling strong localization of light and enhancing light-matter interactions, as well as tailoring the angular distribution of emission from photonic structures. These unique properties open pathways for…

We introduce a practical and efficient approach for calculating the all-electron full potential bandstructure in real space, employing a finite element basis. As an alternative to the k-space method, the method involves the self-consistent…

Materials Science · Physics 2023-07-25 Dongming Li , James Kestyn , Eric Polizzi

Symmetric informationally complete measurements are both important building blocks in many quantum information protocols and the seminal example of a generalised, non-orthogonal, quantum measurement. In higher-dimensional systems, these…

Harnessing high-frequency spin dynamics in three-dimensional (3D) nanostructures may lead to paradigm-shifting, next generation devices including high density spintronics and neuromorphic systems. Despite remarkable progress in fabrication,…

Mesoscale and Nanoscale Physics · Physics 2021-07-07 Sourav Sahoo , Andrew May , Arjen van Den Berg , Amrit Kumar Mondal , Sam Ladak , Anjan Barman

Here, the frequency degree of freedom is introduced into valley photonic crystals with dual band gaps. Based on the high-order plane wave expansion model, we derive an effective Hamiltonian which characterizes dual band gaps. Metallic…

We report a novel approach for coherent multi-photon photoemission band mapping of the entire Brillouin zone with infrared light that is readily implemented in a laboratory setting. We excite a solid state material, Ag(110), with intense…

Other Condensed Matter · Physics 2020-08-31 Andi Li , Namitha Ann James , Tianyi Wang , Zehua Wang , Hrvoje Petek , Marcel Reutzel

Photonic crystals (PhCs) are periodic dielectric structures that exhibit unique electromagnetic properties, such as the creation of band gaps where electromagnetic wave propagation is inhibited. Accurately predicting dispersion relations,…

Numerical Analysis · Mathematics 2024-11-12 Yueqi Wang , Richard Craster , Guanglian Li

We theoretically study the propagation of large-wavevector waves (volume plasmon polaritons) in multilayer hyperbolic metamaterials with two levels of structuring. We show that when the parameters of a subwavelength metal-dielectric…

We report the realization of a synthetic magnetic field for photons and polaritons in a honeycomb lattice of coupled semiconductor micropillars. A strong synthetic field is induced in both the s and p orbital bands by engineering a uniaxial…

Mesoscale and Nanoscale Physics · Physics 2021-01-06 O. Jamadi , E. Rozas , G. Salerno , M. Milićević , T. Ozawa , I. Sagnes , A. Lemaître , L. Le Gratiet , A. Harouri , I. Carusotto , J. Bloch , A. Amo

The concept of multi-gap topology has recently been shown to give rise to uncharted phases beyond conventional single-gap classifications. These phases relate to band nodes with non-Abelian quaternion charges and momentum-space braiding…

We continue our study of the quantum optics of a single photon interacting with a system of two level atoms. In this work we investigate the case of a periodic arrangement of atoms. We provide a general structure theorem characterizing the…

Mathematical Physics · Physics 2023-11-22 Erik Orvehed Hiltunen , Joseph Kraisler , John C. Schotland , Michael I. Weinstein

Integrated photonics provides an important platform for simulating physical models with high-performance chip-scale devices, where the lattice size and the time-dependence of a model are key ingredients for further enriching the…

In this paper, we consider the optimal design of photonic crystal band structures for two-dimensional square lattices. The mathematical formulation of the band gap optimization problem leads to an infinite-dimensional Hermitian eigenvalue…

Optimization and Control · Mathematics 2010-05-02 Han Men , Ngoc-Cuong Nguyen , Robert M. Freund , Pablo A. Parrilo , Jaume Peraire

Photonic integrated Brillouin lasers have emerged as an important tool to realize a wide range of precision applications, including atomic time-keeping, low-noise microwave signal generation, fiber and quantum sensing, and ultra-high…

Optics · Physics 2025-12-11 Andrew J. Shepherd , Daniel J. Blumenthal , Ryan O. Behunin

Access to electrical signals across the millimeter-wave (mmW) and terahertz (THz) bands offers breakthroughs for high-performance applications. Despite generations of revolutionary development, integrated electronics are challenging to…