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This paper presents a parallel-in-time adjoint sensitivity analysis which combines a transient adjoint sensitivity analysis with the parareal approach in order to significantly speed up the simulation. The adjoint method is the method of…

Numerical Analysis · Mathematics 2023-07-04 Julian Sarpe , Andreas Klaedtke , Herbert De Gersem

We present an extension of local sensitivity analysis, also referred to as the perturbation approach for uncertainty quantification, to Bayesian inverse problems. More precisely, we show how moments of random variables with respect to the…

Numerical Analysis · Mathematics 2026-04-06 Jürgen Dölz , David Ebert

The linear Faraday effect is used to implement a continuous measurement of the spin of a sample of laser cooled atoms trapped in an optical lattice. One of the optical lattice beams serves also as a probe beam, thereby allowing one to…

Quantum Physics · Physics 2009-11-10 Greg Smith , Souma Chaudhury , Poul S. Jessen

We present a computer program and underlying model to calculate the electric susceptibility of a gas, which is essential to predict its absorptive and dispersive properties. Our program focusses on alkali-metal vapours where we use a matrix…

The design space of dynamic multibody systems (MBSs), particularly those with flexible components, is considerably large. Consequently, having a means to efficiently explore this space and find the optimum solution within a feasible…

Optimization and Control · Mathematics 2025-01-08 Mehran Ebrahimi , Adrian Butscher , Hyunmin Cheong , Francesco Iorio

The equations of classical spin-orbit motion can be extended to a Hamiltonian system in 9-dimensional phase space by introducing a coupled spin-orbit Poisson bracket and a Hamiltonian function. After this extension and by establishing…

Accelerator Physics · Physics 2015-06-26 V. V. Balandin , N. I. Golubeva

The balance function, which measures the correlation between opposite sign charge pairs, is sensitive to the mechanisms of charge formation and the subsequent relative diffusion of the balancing charges. The study of the balance function…

Nuclear Experiment · Physics 2019-08-13 Hui Wang

We propose an adaptive finite element method for the solution of a coefficient inverse problem of simultaneous reconstruction of the dielectric permittivity and magnetic permeability functions in the Maxwell's system using limited boundary…

Numerical Analysis · Mathematics 2016-01-26 Larisa Beilina , Samar Hosseinzadegan

In this work, we consider a composite atom-cavity system interacting with a ring resonator. In such a structure, time crystal regime can be observed. We show that a quadratic observation time dependence of the system's sensitivity to…

Quantum Physics · Physics 2025-03-21 T. T. Sergeev , A. A. Zyablovsky , E. S. Andrianov

In several applications such as databases, planning, and sensor networks, parameters such as selectivity, load, or sensed values are known only with some associated uncertainty. The performance of such a system (as captured by some…

Data Structures and Algorithms · Computer Science 2010-01-28 Sudipto Guha , Kamesh Munagala

We consider an optomechanical system that is composed of a mechanical and an optical mode interacting through a linear and quadratic optomechanical dispersive couplings. The system is operated in an unresolved side band limit with a high…

Quantum Physics · Physics 2019-12-12 U. Satya Sainadh , M. Anil Kumar

Decision circuits have been developed to perform efficient evaluation of influence diagrams [Bhattacharjya and Shachter, 2007], building on the advances in arithmetic circuits for belief network inference [Darwiche,2003]. In the process of…

Artificial Intelligence · Computer Science 2012-06-18 Debarun Bhattacharjya , Ross D. Shachter

We study the time evolution of bosonic systems where multiple driven bosonic modes of light interact with multiple mechanical resonators through arbitrary, time-dependent, optomechanical-like interactions. We find the analytical expression…

Quantum Physics · Physics 2019-08-27 David Edward Bruschi

Model Hamiltonians with long-range interaction yield energies that are corrected taking into account the universal behavior of the electron-electron interaction at short range. Although the intention of the paper is to explore the…

Chemical Physics · Physics 2020-10-28 Andreas Savin

We study many interacting Brownian particles under a tilted periodic potential. We numerically measure the linear response coefficient of the density field by applying a slowly varying potential transversal to the tilted direction. In…

Statistical Mechanics · Physics 2009-03-02 Takenobu Nakamura , Shin-ichi Sasa

We develop a computational method to learn a molecular Hamiltonian matrix from matrix-valued time series of the electron density. As we demonstrate for three small molecules, the resulting Hamiltonians can be used for electron density…

Computational Physics · Physics 2020-09-01 Harish S. Bhat , Karnamohit Ranka , Christine M. Isborn

The time evolution of a closed quantum system is connected to its Hamiltonian through Schroedinger's equation. The ability to estimate the Hamiltonian is critical to our understanding of quantum systems, and allows optimization of control.…

In recent years, it has been convincingly shown that weather forecasting models can be run in single-precision arithmetic. Several models or components thereof have been tested with even lower precision than this. This previous work has…

Atmospheric and Oceanic Physics · Physics 2020-03-23 Andrew T. T. McRae , Tim N. Palmer

The versatility of optics enables the design of a wide range of elegant beam instrumentation. Multiple properties of particle beams can be precisely measured by various optical techniques, which include: direct sampling of optical radiation…

Accelerator Physics · Physics 2020-07-23 Stephen Gibson

We investigate the quantum fluctuations of a single atom in a weakly driven cavity, with an intracavity optical lattice. The weak driving field is on resonance with the atoms and the cavity, and is the second-harmonic of the lattice beam.…

Quantum Physics · Physics 2019-03-20 Mambwe Mumba , Dyan Jones , Perry Rice