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The mirror descent algorithm is known to be effective in situations where it is beneficial to adapt the mirror map to the underlying geometry of the optimization model. However, the effect of mirror maps on the geometry of distributed…

Optimization and Control · Mathematics 2024-03-13 Anastasia Borovykh , Nikolas Kantas , Panos Parpas , Grigorios A. Pavliotis

In this work we propose MirrorCBO, a consensus-based optimization (CBO) method which generalizes standard CBO in the same way that mirror descent generalizes gradient descent. For this we apply the CBO methodology to a swarm of dual…

Optimization and Control · Mathematics 2025-07-17 Leon Bungert , Franca Hoffmann , Dohyeon Kim , Tim Roith

The rational design of photonic nanostructures consists in anticipating their optical response from simple models or as variations of reference systems. This strategy is limited when different objectives are simultaneously targeted.…

Mesoscale and Nanoscale Physics · Physics 2017-04-25 Peter R. Wiecha , Arnaud Arbouet , Christian Girard , Aurélie Lecestre , Guilhem Larrieu , Vincent Paillard

Recent progress in quantum technologies with ultracold atoms has been propelled by spatially fine-tuned control of lasers and diffraction-limited imaging. The state-of-the-art precision of optical alignment to achieve this fine-tuning is…

Quantum Gases · Physics 2024-01-03 Bharath Hebbe Madhusudhana , Karatzyna Krzyzanowska , Malcolm Boshier

This paper considers non-smooth optimization problems where we seek to minimize the pointwise maximum of a continuously parameterized family of functions. Since the objective function is given as the solution to a maximization problem,…

Optimization and Control · Mathematics 2026-01-12 Dimitris Boskos , Jorge Cortés , Sonia Martínez

A microfabricated Fabry-Perot optical resonator has been used for atom detection and photon production with less than 1 atom on average in the cavity mode. Our cavity design combines the intrinsic scalability of microfabrication processes…

Quantum Physics · Physics 2009-11-13 M. Trupke , J. Goldwin , B. Darquié , G. Dutier , S. Eriksson , J. Ashmore , E. A. Hinds

We introduce a method based on the deflectometry principle for the reconstruction of specular objects exhibiting significant size and geometric complexity. A key feature of our approach is the deployment of an Automatic Virtual Environment…

Computer Vision and Pattern Recognition · Computer Science 2014-09-16 Jonathan Balzer , Daniel Acevedo-Feliz , Stefano Soatto , Sebastian Höfer , Markus Hadwiger , Jürgen Beyerer

We experimentally and theoretically investigate mechanical nanooscillators coupled to the light in an optical ring resonator made of dielectric mirrors. We identify an optomechanical damping mechanism that is fundamentally different to the…

We develop a method for optimization in shape spaces, i.e., sets of surfaces modulo re-parametrization. Unlike previously proposed gradient flows, we achieve superlinear convergence rates through a subtle approximation of the shape Hessian,…

Computer Vision and Pattern Recognition · Computer Science 2014-04-15 J. Balzer , S. Soatto

The recently increasing explorations for cavity optomechanical coupling assisted by a single atom or an atomic ensemble have opened an experimentally accessible fashion to interface quantum optics and nano (micro) -mechanical systems. In…

Quantum Physics · Physics 2015-05-13 Yue Chang , H. Ian , C. P. Sun

Most camera lens systems are designed in isolation, separately from downstream computer vision methods. Recently, joint optimization approaches that design lenses alongside other components of the image acquisition and processing pipeline…

Computer Vision and Pattern Recognition · Computer Science 2023-03-29 Geoffroi Côté , Fahim Mannan , Simon Thibault , Jean-François Lalonde , Felix Heide

The quantum behavior of superconducting qubits coupled to resonators is very similar to that of atoms in optical cavities [1, 2], in which the resonant cavity confines photons and promotes strong light-matter interactions. The cavity…

When light and matter interact strongly, the resulting hybrid system inherits properties from both constituents, allowing one to modify material behavior by engineering the surrounding electromagnetic environment. This concept underlies the…

This paper addresses the question of whether it can be beneficial for an optimization algorithm to follow directions of negative curvature. Although prior work has established convergence results for algorithms that integrate both descent…

Optimization and Control · Mathematics 2018-04-05 Frank E. Curtis , Daniel P. Robinson

This paper presents an evolutionary algorithm with a new goal-sequence domination scheme for better decision support in multi-objective optimization. The approach allows the inclusion of advanced hard/soft priority and constraint…

Artificial Intelligence · Computer Science 2011-06-02 E. F. Khor , T. H. Lee , R. Sathikannan , K. C. Tan

Here we demonstrate the capacity to manipulate the optical spring (OS) effect by employing an optical parametric amplifier (OPA) within an optical cavity. We observed more than a factor of 2 increase in the OS frequency shift with the OPA.…

Optics · Physics 2024-06-24 Jian Liu , Juntao Pan , Carl Blair , Jue Zhang , Hengxin Sun , Li Ju , Chunnong Zhao

Form factor can be engineered in photonic cavities such that it dramatically increases the scan speed of axion haloscope detectors. Using higher-order modes of a photonic cavity, we can probe axions at larger mass ranges beyond the reach of…

Instrumentation and Detectors · Physics 2022-01-24 Mohamed H. Awida

The strong coupling of atoms to optical cavities can improve optical lattice clocks as the cavity enables metrologically useful collective atomic entanglement and high-fidelity measurement. To this end, it is necessary to cool the ensemble…

We consider a hybrid optomechanical system which is composed of the atomic ensemble and a standard optomechanical cavity driven by the periodically modulated external laser field. We investigate the asymptotic behaviors of Heisenberg…

Quantum Physics · Physics 2019-07-24 Cheng-Hua Bai , Dong-Yang Wang , Shou Zhang , Shutian Liu , Hong-Fu Wang

We consider the coupling of light, via an optical cavity, to two-dimensional atomic arrays whose lattice spacing exceeds the wavelength of the light. Such 'superwavelength' spacing is typical of optical tweezer arrays. While subwavelength…

Quantum Physics · Physics 2023-12-19 Yakov Solomons , Inbar Shani , Ofer Firstenberg , Nir Davidson , Ephraim Shahmoon