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In discrete convex analysis, various convexity concepts are considered for discrete functions such as separable convexity, L-convexity, M-convexity, integral convexity, and multimodularity. These concepts of discrete convex functions are…

Combinatorics · Mathematics 2023-02-06 Satoko Moriguchi , Kazuo Murota

In this paper, we propose an effective model including a macroscopic Hamiltonian to describe the interactions between a two-level atom and scattered light in a 1-D dielectric waveguide. The proposed formalism allows us to incorporate the…

Optics · Physics 2019-12-11 Fatih Dinç , İlke Ercan

We describe an interferometer based on fluorescent emission of radiation of two qubits in quasi-one-dimensional modes. Such a system can be readily realized with dipole emitters near conducting surface-plasmonic nanowires or with…

Quantum Physics · Physics 2010-10-04 G. S. Paraoanu

Cold atom systems provide a rich platform to realize strongly interacting condensed matter systems, and recent progress in fluorescence imaging technique has enabled identification of nontrivial doublon, singlon, and holon correlation…

Strongly Correlated Electrons · Physics 2024-10-03 Sayantan Roy , Sameed Pervaiz , Thereza Paiva , Nandini Trivedi

The particle wave duality sets a fundamental correspondence between optics and quantum mechanics. Within this framework, the propagation of quasiparticles can give rise to superposition phenomena which, like for electromagnetic waves, can…

We introduce the concept of optical coherence squeezing in double-slit interference. We construct Hermitian operators that characterize the coherence at the slits, leading to coherence uncertainty relations and a corresponding squeezing…

Quantum Physics · Physics 2026-02-27 Martti Hanhisalo , Atri Halder , Tero Setälä , Andreas Norrman

We study the resonance interaction between two quantum electric dipoles immersed in optically active surroundings. Quantum electrodynamics is employed to deal with dipole-vacuum interaction. Our results show that the optical activity of…

Quantum Physics · Physics 2016-06-17 Qi-Zhang Yuan , Chun-Hua Yuan , Weiping Zhang

The delicate interfacial conditions and behaviors play critical roles in determining the valuable physical properties of two-dimensional materials and their heterostructures on substrates. However, directly probing these complex interface…

Consider a one-dimensional exclusion process with finite-range translation-invariant jump rates with non-zero drift. Let the process be stationary with product Bernoulli invariant distribution at density \rho. Place a second class particle…

Probability · Mathematics 2007-05-23 Timo Seppalainen , Sunder Sethuraman

The appealing feature of molecular electronics is the possibility of exploiting functionality built within a single molecule. This functionality can be employed, for example, for sensing or switching purposes. Thus, ideally, the associated…

When two bodies get into contact, only a small portion of the apparent area is actually involved in producing contact and friction forces, because of the surface roughnesses. It is therefore crucial to accurately describe the morphology of…

Numerical Analysis · Mathematics 2024-11-19 Mahmoud Shaqfa , Gary P. T. Choi , Guillaume Anciaux , Katrin Beyer

We investigate the relations between the spin structure functions in the scaling and resonance regions. We examine the possible duality between the two, and draw inferences for the behavior of the asymmetry A_1 at large x. Finally, we point…

High Energy Physics - Phenomenology · Physics 2009-10-31 Carl E. Carlson , Nimai C. Mukhopadhyay

Phase difference function is established by means of phase transfer function between time domains of source and interference point. The function reveals a necessary interrelation between outcome of two-beam interference, source's frequency…

Optics · Physics 2007-05-23 Ji Luo

The Surface Green Function Matching analysis (SGFM) is used to study the normal modes of the interface oscillations between two non-mixed fluids by considering the difference in their densities and viscosities. The limiting case of…

Fluid Dynamics · Physics 2007-05-23 Arezky H. Rodriguez , J. Marin-Antuna , H. Rodriguez-Coppola , C. Dopazo

Using ab-initio calculations within the framework of Density Functional Theory (DFT), atomic structures and electronic properties of MoS2/HfO2 interface are investigated. The impact of interfacial oxygen concentration on the MoS2/HfO2…

Materials Science · Physics 2014-02-10 Santosh KC , Roberto C. Longo , Robert M. Wallace , Kyeongjae Cho

Subwavelength dielectric structures offer an attractive low loss alternative to plasmonic structures for the development of resonant optics functionality such as metamaterials. Nonspherical like rectangular structures are of most interest…

Optics · Physics 2013-12-03 Lujun Huang , Yiling Yu , Linyou Cao

We consider thermo-optic bistability in resonant excitation of high-quality modes in two-dimensional dielectric resonators. We develop a coupled-mode theory approach which account for the frequency shift due to a temperature dependent…

Optics · Physics 2025-04-04 G. V. Shadrina , D. N. Maksimov , E. N. Bulgakov

A function is called quasiperiodic if its fundamental frequencies are linearly independent over the rationals. With appropriate parameters, the sliding window point clouds of such functions can be shown to be dense in tori with dimension…

Algebraic Topology · Mathematics 2023-08-04 Hitesh Gakhar , Jose A. Perea

Fermat's principle is fully generalized to the case where a smooth interface separates two cone structures -- Lorentz-Finsler lightcones -- representing wave propagation in a potentially inhomogeneous, anisotropic, time-dependent and…

Differential Geometry · Mathematics 2025-10-01 Miguel Ángel Javaloyes , Steen Markvorsen , Enrique Pendás-Recondo , Miguel Sánchez

Circular microresonators (microdisks) are micron sized dielectric disks embedded in a material of lower refractive index. They possess modes with complex eigenvalues (resonances) which are solutions of analytically given transcendental…

Optics · Physics 2010-03-09 C. P. Dettmann , G. V. Morozov , M. Sieber , H. Waalkens
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