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A set of analytical benchmarks for tracking programs is required for precision storage ring experiments. To determine the accuracy of precision tracking programs in electric and magnetic rings, a variety of analytical estimates of particle…

The exact analytic solution is introduced for the rotational motion of a rigid body having three equal principal moments of inertia and subjected to an external torque vector which is constant for an observer fixed with the body, and to…

Classical Physics · Physics 2012-04-17 Marcello Romano

Atomic probe tomography (APT), based on the work of Erwin Mueller, is able to generate three-dimensional chemical maps in atomic resolution. The required instruments for APT have evolved over the last 20 years from an experimental to an…

We demonstrate novel implementations of high-precision optical magnetometers which allow for spatially-selective and spatially-resolved in situ measurements using cold atomic clouds. These are realised by using shaped dispersive probe beams…

We prepare arbitrary patterns of neutral atoms in a one-dimensional (1D) optical lattice with single-site precision using microwave radiation in a magnetic field gradient. We give a detailed account of the current limitations and propose…

Ultra-sensitive measurement of the magneto-optical rotation, due to interaction of linearly-polarized light passing through room-temperature Rb 85 atoms, in response to change in longitudinal magnetic field (\delta B_z ) is demonstrated…

Instrumentation and Detectors · Physics 2019-04-04 T. J. Vineeth Francis , Rashmi Ranjan Suna , P. K. Madhu , Nirmal K. Viswanathan , G. Rajalakshmi

Optically pumped magnetometers (OPMs) have emerged as a powerful technique for high-resolution magnetic field imaging. However, achieving sub-millimeter spatial resolution at sub-picotesla sensitivities ($\mathrm{< 1\,pT/\sqrt{Hz}}$)…

We address the linear-mode analysis performed near an equilibrium configuration in the fluid rest frame with a dynamical magnetic field perturbed on a constant configuration. We develop a simple and general algorithm for an analytic…

Plasma Physics · Physics 2024-09-30 Zhe Fang , Koichi Hattori , Jin Hu

We report the optical imaging of a single atom with nanometer resolution using an adaptive optical alignment technique that is applicable to general optical microscopy. By decomposing the image of a single laser-cooled atom, we identify and…

Atomic Physics · Physics 2016-09-21 J. D. Wong-Campos , K. G. Johnson , B. Neyenhuis , J. Mizrahi , C. Monroe

We present a unified treatment of exact solutions for a class of four quantum mechanical models, namely the singular anharmonic potential, the generalized quantum isotonic oscillator, the soft-core Coulomb potential, and the…

Mathematical Physics · Physics 2015-06-03 Davids Agboola , Yao-Zhong Zhang

Atomic magnetometry is one of the most sensitive field-measurement techniques for biological, geo-surveying, and navigation applications. An essential process in atomic magnetometry is measurement of optical polarization rotation of a…

Optics · Physics 2023-04-19 Xuting Yang , Meryem Benelajla , Jennifer T. Choy

We present a quantum theory of a magneto-optical trap (MOT) from first principles based on the quantum kinetic equation for the atomic density matrix with taking into account the recoil effects caused by the interaction of atoms with the…

Atomic Physics · Physics 2025-07-11 O. N. Prudnikov , A. V. Taichenachev , V. I. Yudin , L. Zhou , M. S. Zhan

The operation of a high sensitive atomic magnetometer using resonant elliptically polarized light is demonstrated. The experimental geometry allows autonomous frequency stabilization of the laser, thereby offers compact operation of the…

Atomic Physics · Physics 2016-03-23 S. Pradhan , S. Mishra , R. Behera , Poornima , K. Dasgupta

A self-oscillating magnetometer based on the nonlinear magneto-optical rotation effect with separate modulated pump and unmodulated probe beams is demonstrated. This device possesses a bandwidth exceeding $1\khz$. Pump and probe are…

Atomic Physics · Physics 2009-11-13 J. M. Higbie , E. Corsini , D. Budker

A new approximate Riemann solver for the equations of magnetohydrodynamics (MHD) with an isothermal equation of state is presented. The proposed method of solution draws on the recent work of Miyoshi and Kusano, in the context of adiabatic…

Astrophysics · Physics 2008-11-26 A. Mignone

In the field of atom optics, the basis of many experiments is a two level atom coupled to a light field. The evolution of this system is governed by a master equation. The irreversible components of this master equation describe the…

Quantum Physics · Physics 2009-11-07 D. J. Atkins , H. M. Wiseman , P. Warszawski

A recent experimental breakthrough allowed to probe electronic parametric resonance of a single magnetic atom in an STM setup. The results present intriguing features, such as an asymmetric lineshape and unusually large ratio of the…

Mesoscale and Nanoscale Physics · Physics 2019-05-28 Gal Shavit , Baruch Horovitz , Moshe Goldstein

Atom probe tomography (APT) is routinely used for analyzing property-enhancing particles in the nanometer-size range and below, and plays a prominent role in the analysis of solute clusters. However, the question of how well these small…

Materials Science · Physics 2020-02-25 Frédéric De Geuser , Baptiste Gault

Rotating-wave approximation and its validity in multi-state quantum systems are studied through analytic approach. Their applicability is also verified from the viewpoint of generic states by the use of direct numerical integrations of the…

Chaotic Dynamics · Physics 2009-04-23 Toshiya Takami , Hiroshi Fujisaki

Obtaining exact solutions to the Schr\"odinger equation in complex quantum systems poses significant challenges. In this context, numerical methods emerge as valuable tools for analyzing such systems. This article proposes a numerical…

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