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The long time effect of nonlinear perturbation to oscillatory linear systems can be characterized by the averaging method, and we consider first-order averaging for its simplest applicability to high-dimensional problems. Instead of the…

Classical Analysis and ODEs · Mathematics 2018-12-05 Molei Tao

Collective effects in atom-light interaction is of great importance for cold-atom-based quantum devices or fundamental studies on light transport in complex media. Here we discuss and compare three different approaches to light scattering…

Atomic Physics · Physics 2019-07-12 Igor M. Sokolov , William Guerin

We carry out a model study on the interaction of a $V$-type three-level emitter with two quantized cavity modes which are weakly driven by two classical fields. The emitter may be an atom or a molecule with nondegenerate upper levels in…

Atomic Physics · Physics 2018-09-13 Arpita Pal , Bimalendu Deb

A two-level atom interacting with a single mode of quantized electromagnetic radiation is discussed using a representation in which the atom and the radiation are unified into a {\em new} canonical radiation. At the {\em twice-resonance},…

Atomic Physics · Physics 2009-06-01 Brijesh Kumar

We explain why the conventional argument for deriving the time-dependent Born-Oppenheimer approximation is incomplete and review recent mathematical results, which clarify the situation and at the same time provide a systematic scheme for…

Mathematical Physics · Physics 2007-12-31 Gianluca Panati , Herbert Spohn , Stefan Teufel

In this paper the filtering of partially observed diffusions, with discrete-time observations, is considered. It is assumed that only biased approximations of the diffusion can be obtained, for choice of an accuracy parameter indexed by…

Computation · Statistics 2015-10-19 Ajay Jasra , Kengo Kamatani , Kody J. H. Law , Yan Zhou

Multiparticle entangled states generated via interaction between narrow-band light and an ensemble of identical two-level atoms are considered. Depending on the initial photon statistics, correlation between atoms and photons can give rise…

Quantum Physics · Physics 2009-11-11 V. N. Gorbachev , A. I. Trubilko

We consider N driven two-level atoms interacting with a structured reservoir. By dressing the collective operators within a semiclassical approach, we derive a master equation and a mean-field single particle effective Hamiltonian. This…

Optics · Physics 2015-06-15 G. A. Prataviera , A. C. Yoshida , S. S. Mizrahi

The generation of harmonics by atoms or ions in a two-color, coplanar field configuration with commensurate frequencies is investigated through both, an analytical calculation based on the Lewenstein model and the numerical ab initio…

Atomic Physics · Physics 2009-11-07 F. Ceccherini , D. Bauer , F. Cornolti

In this paper we study theoretically the process of electron capture between one-optical-electron atoms (e.g. hydrogenlike or alkali atoms) and ions at low-to-medium impact velocities ($v/v_e \approx 1$) working on a modification of an…

Atomic Physics · Physics 2009-11-07 F. Sattin

Deflection of atoms in \Lambda-type configuration passing through two crossed standing light waves is proposed for probing and visualization of atomic superposition states. For this goal, we use both the large-dispersive and Raman-resonant…

Quantum Physics · Physics 2013-07-23 Gor A. Abovyan , Gagik P. Djotyan , Gagik Yu. Kryuchkyan

We derive a framework to compute optimal controls for problems with states in the space of probability measures. Since many optimal control problems constrained by a system of ordinary differential equations (ODE) modelling interacting…

Optimization and Control · Mathematics 2020-09-23 Martin Burger , René Pinnau , Claudia Totzeck , Oliver Tse

In dynamical mean-field theory, the correlations between electrons are assumed to be purely local. The dual fermion approach provides a systematic way of adding non-local corrections to the dynamical mean-field theory starting point.…

Strongly Correlated Electrons · Physics 2021-01-27 Erik G. C. P. van Loon

Improved quantum sensing of photons from astronomical objects could provide high resolution observations in the optical benefiting numerous fields, including general relativity, dark matter studies, and cosmology. It has been recently…

Instrumentation and Methods for Astrophysics · Physics 2022-11-03 Paul Stankus , Andrei Nomerotski , Anže Slosar , Stephen Vintskevich

Mean-Field is an efficient way to approximate a posterior distribution in complex graphical models and constitutes the most popular class of Bayesian variational approximation methods. In most applications, the mean field distribution…

Machine Learning · Computer Science 2015-02-23 Pierre Baqué , Jean-Hubert Hours , François Fleuret , Pascal Fua

Effective field theories have been successful in describing nuclei up to the alpha particle but face significant challenges for larger nuclei due to leading-order instabilities. These issues can be addressed with the introduction of a fake…

Nuclear Theory · Physics 2025-12-02 U. van Kolck

Optical coherence tomography has become an important imaging technology in cardiology and ophthalmology, with other applications under investigations. Major advances in optical coherence tomography (OCT) imaging are likely to occur through…

Quantum Physics · Physics 2014-02-10 Mark E. Brezinski

Recurrence relations of perturbation theory for hydrogen ground state are obtained. With their aid polarizabilities in constant perpendicular electric and magnetic fields are computed up to 80th order. The high orders asymptotic is compared…

Atomic Physics · Physics 2015-08-06 V. A. Gani , V. M. Weinberg

Using previous experimental data of diffusion in metallic alloys, we obtain real values for an interpolation parameter introduced in a mean-field theory for diffusion with interaction. Values of order 1 were found as expected, finding…

Chemical Physics · Physics 2020-01-29 Marisel Di Pietro Martínez , Miguel Hoyuelos

The atomic transitions employed in the best of today's optical clocks are a strong foundation for the upcoming redefinition of the SI second. Including multiple transitions in the definition offers increased accuracy, a robust diversity of…

Atomic Physics · Physics 2025-05-27 Claudio Eligio Calosso , Nils Nemitz
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