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We present an extension of the canonical coupled mode theory of electromagnetic waves to the case of pulses and spatio-temporal perturbations in complex media. Unlike previous attempts to derive such a model, our approach involves no…

光学 · 物理学 2016-05-04 Y. Sivan , S. Rozenberg , A. Halstuch

In this paper, we extend the resonant modal theory (RMT) developed previously for a metal object to an arbitrary source region consisting of metals, dielectrics, or the combination of both. The influences of dielectrics on the fields are…

应用物理 · 物理学 2023-12-07 Ruqi Xiao , Wen Geyi , Guo Yang , Wen Wu

We develop a method for finding the time evolution of exactly solvable models by Bethe ansatz. The dynamical Bethe wavefunction takes the same form as the stationary Bethe wavefunction except for time varying Bethe parameters and a complex…

量子物理 · 物理学 2020-03-04 Igor Ermakov , Tim Byrnes

Inspired by a similar analysis for the vacuum conformal Einstein field equations by Paetz [Ann. H. Poincar\'e 16, 2059 (2015)], in this article we show how to construct a system of quasilinear wave equations for the geometric fields…

广义相对论与量子宇宙学 · 物理学 2019-07-16 Diego A. Carranza , Adem E. Hursit , Juan A. Valiente Kroon

Quantum systems coupled to environments exhibit intricate dynamics. The master equation gives a Markov approximation of the dynamics, allowing for analytic and numerical treatments. It is ubiquitous in theoretical and applied quantum…

量子物理 · 物理学 2021-12-17 Marco Merkli

Controlling waves by actively changing the material parameters of a medium enables the development of new acoustic and electrical devices. Modulating the material breaks classical properties like reciprocity and the conservation of energy,…

数值分析 · 数学 2026-02-09 Jörg Nick

The physical pictures of eigen-mode theory (EMT) and the conventional characteristic mode theory (CMT) reveal a fact that: the EMT and CMT are the modal theories for electromagnetic wave-guiding and scattering (for details, please see the…

信号处理 · 电气工程与系统科学 2021-03-03 Renzun Lian

The design of optical resonant systems for controlling light at the nanoscale is an exciting field of research in nanophotonics. While describing the dynamics of systems with few resonances is a relatively well understood problem,…

光学 · 物理学 2020-02-20 M. Makarenko , A. Burguete-Lopez , F. Getman , A. Fratalocchi

Many-mode Floquet theory [T.-S. Ho, S.-I. Chu, and J. V. Tietz, Chem. Phys. Lett., v. 96, 464 (1983)] is a technique for solving the time-dependent Schr\"odinger equation in the special case of multiple periodic fields, but its limitations…

量子物理 · 物理学 2020-04-01 A. N. Poertner , J. D. D. Martin

We study exact time-evolving many-electron states of an open double quantum-dot system with an interdot Coulomb interaction. A systematic construction of the time-evolving states for arbitrary initial conditions is proposed. For any initial…

介观与纳米尺度物理 · 物理学 2025-03-11 Akinori Nishino , Naomichi Hatano

The use of ring polymer molecular dynamics (RPMD) for the direct simulation of electron transfer (ET) reaction dynamics is analyzed in the context of Marcus theory, semiclassical instanton theory, and exact quantum dynamics approaches. For…

统计力学 · 物理学 2011-08-19 Artur R. Menzeleev , Nandini Ananth , Thomas F. Miller

Testing deviations from the $\Lambda$CDM model using the Cosmic Microwave Background (CMB) power spectra requires a pristine understanding of instrumental systematics. In this work we discuss the properties of a new observable ${\cal…

宇宙学与河外天体物理 · 物理学 2019-12-04 Thibaut Louis , Zack Li , Matthieu Tristram

Nonequilibrium mode-coupling theory (MCT) for uniformly sheared underdamped systems is developed, starting from the microscopic thermostatted SLLOD equation, and the corresponding Liouville equation. Special attention is paid to the…

统计力学 · 物理学 2015-03-20 Koshiro Suzuki , Hisao Hayakawa

Climate change stands as one of the most pressing global challenges of the twenty-first century, with far-reaching consequences such as rising sea levels, melting glaciers, and increasingly extreme weather patterns. Accurate forecasting is…

机器学习 · 计算机科学 2025-06-17 Tajamul Ashraf , Janibul Bashir

The evolution and propagation of a partially coherent matter wave (PCMW) is investigated theoretically by the correlation function method. The ABCD matrix formalism previously used for a fully coherent matter wave is extended to the PCMW…

原子物理 · 物理学 2009-11-13 Jun Chen , Qiang Lin

Using a molecular dynamics computer simulation we determine the temperature dependence of the partial structure factors for a binary Lennard-Jones system. These structure factors are used as input data to solve numerically the wave-vector…

凝聚态物理 · 物理学 2016-08-31 Markus Nauroth , Walter Kob

In this work, we propose a coupled mode theory for resonant response from quasi-guided modes in periodic dielectric metasurfaces. First, we derived a generic set of constraints imposed onto the parameters of the temporal coupled mode theory…

In periodic media gap solitons with frequencies inside a spectral gap but close to a spectral band can be formally approximated by a slowly varying envelope ansatz. The ansatz is based on the linear Bloch waves at the edge of the band and…

偏微分方程分析 · 数学 2025-07-23 Tomáš Dohnal , Giulio Romani

Very recently, the authors of [PRL {\bf 118} (2017) 021102] have shown that violation of energy-momentum tensor (EMT) could result in an accelerated expansion state via appearing an effective cosmological constant, in the context of…

广义相对论与量子宇宙学 · 物理学 2017-05-24 Hamid Shabani , Amir Hadi Ziaie

Background: The complex scaling method (CSM) has been successfully used to describe many-body resonances as eigenvalues of the complex-scaled Hamiltonian in an appropriate $L^2$ basis representation. Its scope has subsequently been extended…

核理论 · 物理学 2026-04-03 Yuma Kikuchi , Kiyoshi Katō , Takayuki Myo