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The thermal equilibrium distribution over quantum-mechanical wave functions is a so-called Gaussian adjusted projected (GAP) measure, $GAP(\rho_\beta)$, for a thermal density operator $\rho_\beta$ at inverse temperature $\beta$. More…

数学物理 · 物理学 2022-07-06 Roderich Tumulka

We study the diffusive limit approximation for a nonlinear radiative heat transfer system that arises in the modeling of glass cooling, greenhouse effects and in astrophysics. The model is considered with the reflective radiative boundary…

偏微分方程分析 · 数学 2021-10-12 Mohamed Ghattassi , Xiaokai Huo , Nader Masmoudi

High-dimensional entangled states of light provide novel possibilities for quantum information, from fundamental tests of quantum mechanics to enhanced computation and communication protocols. In this context, the frequency degree of…

量子物理 · 物理学 2020-04-10 S. Francesconi , F. Baboux , A. Raymond , N. Fabre , G. Boucher , A. Lemaître , P. Milman , M. I. Amanti , S. Ducci

The temperature dependence of the asymmetry between Stokes and anti-Stokes Raman scattering can be exploited for self-calibrating, optically-based thermometry. In the context of cavity optomechanics, we observe the cavity-enhanced…

量子物理 · 物理学 2015-09-16 T. P. Purdy , P. -L. Yu , N. S. Kampel , R. W. Peterson , K. Cicak , R. W. Simmonds , C. A. Regal

The dispersive behavior of materials with atomic charge numbers varing from $Z = 4$ (beryllium, Be) to $Z = 82$ (lead, Pb) was investigated experimentally and theoretically at $\gamma$-ray energies up to 2 MeV. The experiment was performed…

原子物理 · 物理学 2018-06-27 M. M. Günther , A. V. Volotka , M. Jentschel , S. Fritzsche , Th. Stöhlker , P. G. Thirolf , M. Zepf

In this work, we investigate the sampling and reconstruction of spectrally $s$-sparse bandlimited graph signals governed by heat diffusion processes. We propose a random space-time sampling regime, referred to as {randomized} dynamical…

数值分析 · 数学 2024-10-24 Longxiu Huang , Dongyang Li , Sui Tang , Qing Yao

We propose a universal strategy to realize a broadband control on arbitrary scatterers, through multiple coherent beams. By engineering the phases and amplitudes of incident beams, one can suppress the dominant scattering partial waves,…

光学 · 物理学 2021-07-07 Jeng Yi Lee , Lujun Huang , Lei Xu , Andrey E. Miroshnichenko , Ray-Kuang Lee

We investigate numerically a model consisting in a kinetic equation for the biased motion of bacteria following a run-and-tumble process, coupled with two reaction-diffusion equations for chemical signals. This model exhibits asymptotic…

偏微分方程分析 · 数学 2018-11-26 Vincent Calvez , Laurent Gosse , Monika Twarogowska

Providing efficient nonlinear optical frequency conversion is essential for numerous applications. Fundamentally, dispersion limits the efficiency of such processes through mismatch of the phase velocities and the group velocities of the…

光学 · 物理学 2020-07-27 Georgiy Shoulga , Alon Bahabad

Previous numerical studies have shown that the "ultimate regime of thermal convection" can be attained in a Rayleigh-Benard cell when the kinetic and thermal boundary layers are eliminated by replacing the walls with periodic boundary…

流体动力学 · 物理学 2015-03-19 Laura E. Schmidt , Enrico Calzavarini , Detlef Lohse , Federico Toschi , Roberto Verzicco

Blending of semiconductors for controlling the energy levels (band structure engineering) is an important technique, in particular, for optoelectronic applications. The underlying physics is the delocalized Bloch states, which average over…

Planck's law of thermal radiation depends only on the temperature T and emissivity $\varepsilon$. It is one of the most fundamental discoveries about light-matter interaction that led to the development of quantum physics. Another basic…

Heat diffusion processes have found wide applications in modelling dynamical systems over graphs. In this paper, we consider the recovery of a $k$-bandlimited graph signal that is an initial signal of a heat diffusion process from its…

信息论 · 计算机科学 2021-10-05 Longxiu Huang , Deanna Needell , Sui Tang

We study a reduced hydrodynamic formulation of paraxial vector beam propagation in which the beam intensity, optical phase, and spatially-dependent polarization are coupled through a nonlinear dispersive system. While prior analytical work…

光学 · 物理学 2026-05-26 Harbir Antil , Rainald Löhner , Sarswati Shah

A recipe on how to engineer a band gap in the energy spectrum for the carriers in graphene is conveyed. It is supported by a series of numerical simulations inspired by an analytical result based on the opening of a band gap in periodically…

材料科学 · 物理学 2018-10-05 Stefan Kolev , Victor Atanasov , Hristiyan Aleksandrov , Teodor Milenov

The temperature dependence of the band gap is crucial to a semiconductor. Bulk black phosphorus (BP) is known to exhibit an anomalous behavior. Through optical spectroscopy, here we show that the temperature effect on BP band gap gradually…

In this paper, we propose two event-triggered control laws incorporating an eventtriggering mechanism to tackle the boundary stabilization for the Rayleigh beam system. Under this event-triggered controls, a sufficient condition for…

最优化与控制 · 数学 2026-05-19 Siwen Wang , Yi Cheng , Yuhu Wu , Yongxin Wu , Wen Kang

Photoluminescence (PL) is a fundamental light-matter interaction in which absorbed photons are re-emitted, playing a key role in science and engineering. It is commonly modeled by introducing a non-zero chemical potential into Planck's law…

光学 · 物理学 2026-04-22 Tomer Bar Lev , Carmel Rotschild

The emission of thermal radiation is a physical process of fundamental and technological interest. From different approaches, thermal radiation can be regarded either as one of the basic mechanisms of heat transfer, as a fundamental quantum…

光学 · 物理学 2024-01-19 J. Enrique Vázquez-Lozano , Iñigo Liberal

Optical Bloch Equations (OBE) describe the coherent exchange of energy between a quantum bit (qubit) and a quasi-resonant driving field in the presence of a thermal bath. Despite it being an ubiquitous process in quantum technologies, a…

量子物理 · 物理学 2021-03-02 Cyril Elouard , David Herrera-Martí , Massimiliano Esposito , Alexia Auffèves