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We give a brief overview of the way atomic physics is now developing in a way reminiscent of the optics revolution of the 1960's. Thanks in particular to recent developments in atomic trapping and cooling, the new field of atom optics is…

Condensed Matter · Physics 2007-05-23 E. V. Goldstein , M. G. Moore , O. Zobay , P. Meystre

Essentially all known quantum gates rely on a weak-coupling approximation resulting in linear dynamics. With the explicit example of trapped ions, we show how high-fidelity quantum gates can be achieved outside such an approximation, and we…

Quantum Physics · Physics 2021-05-19 Mahdi Sameti , Jake Lishman , Florian Mintert

Problems involving the capture of a moving entity by a trap occur in a variety of physical situations, the moving entity being an electron, an excitation, an atom, a molecule, a biological object such as a receptor cluster, a cell, or even…

Statistical Mechanics · Physics 2015-06-17 K. Spendier , S. Sugaya , V. M. Kenkre

We study the motion of two atoms trapped at distant positions in the field of a driven standing wave high-Q optical resonator. Even without any direct atom-atom interaction the atoms are coupled through their position dependent influence on…

Quantum Physics · Physics 2007-05-23 J. K. Asbóth , P. Domokos , H. Ritsch

This paper presents a theoretical study of the light-induced shift of the coherent population trapping resonance. An analytical model is proposed that describes the interaction of two radiation components with an atomic system using a…

Quantum Physics · Physics 2026-01-16 Gavriil Voloshin , Konstantin Barantsev , Andrey Litvinov

Nonlinear optical phenomena are typically local. Here we predict the possibility of highly nonlocal optical nonlinearities for light propagating in atomic media trapped near a nano-waveguide, where long-range interactions between the atoms…

Quantum Physics · Physics 2016-07-08 Ephraim Shahmoon , Pjotrs Grisins , Hans Peter Stimming , Igor Mazets , Gershon Kurizki

We treat the interaction of a trapped ion with a standing-wave light field relaxing the previous condition of the trapping ion being on the node of the standing wave. In addition we work to second order in the Lamb-Dicke parameter $\eta$,…

Atomic Physics · Physics 2008-02-03 S. Alam , C. Bentley

In quantum interaction problems with explicitly time-dependent interaction Hamiltonians, the time ordering plays a crucial role for describing the quantum evolution of the system under consideration. In such complex scenarios, exact…

Quantum Physics · Physics 2018-04-10 Fabian Krumm , Werner Vogel

The transport of ultra-cold atoms in magneto-optical potentials provides a clean setting in which to investigate the distinct predictions of classical versus quantum dynamics for a system with coupled degrees of freedom. In this system,…

There is a broad interest in enhancing the strength of light-atom interactions to the point where injecting a single photon induces a nonlinear material response. Here, we show theoretically that sub-Doppler-cooled, two-level atoms that are…

Atomic Physics · Physics 2014-07-28 Bonnie L. Schmittberger , Daniel J. Gauthier

We study the translational motions of homonuclear diatomic molecules prepared in their ${}^3\Sigma$ electronic states, deeply bound vibrational states, and rotational states of well-defined parity. The trapping potential arises due to the…

Mathematical Physics · Physics 2026-03-05 Yurij Yaremko , Maria Przybylska , Andrzej J. Maciejewski

The Dicke model is of fundamental importance in quantum mechanics for understanding the collective behaviour of atoms coupled to a single electromagnetic mode. In this paper, we demonstrate a Dicke-model simulation using cavity-assisted…

One-dimensional quantum optical models usually rest on the intuition of large scale separation or frozen dynamics associated with the different spatial dimensions, for example when studying quasi one-dimensional atomic dynamics, potentially…

Quantum Physics · Physics 2024-03-28 Jannik Ströhle , Richard Lopp

A cooling scheme for trapped atoms is proposed, which combines cavity-enhanced scattering and electromagnetically induced transparency. The cooling dynamics exploits a three-photon resonance, which combines laser and cavity excitations. It…

Quantum Physics · Physics 2012-02-03 Marc Bienert , Giovanna Morigi

A quantum model based on a Euler-Lagrange variational approach is proposed. In analogy with the classical transport, our approach maintain the description of the particle motion in terms of trajectories in a configuration space. Our method…

Mathematical Physics · Physics 2018-07-04 O. Morandi

The center-of-mass motion of a single optically levitated nanoparticle resembles three uncoupled harmonic oscillators. We show how a suitable modulation of the optical trapping potential can give rise to a coupling between two of these…

Optics · Physics 2017-06-28 Martin Frimmer , Jan Gieseler , Thomas Ihn , Lukas Novotny

We experimentally demonstrate optical dipole trapping of a cloud of cold atoms by means of a dynamically coupled mode of a high-finesse cavity. We show that the trap requires a collective action of the atoms, i.e. a single atom would not be…

Quantum Physics · Physics 2021-09-01 A. Dombi , T. W. Clark , F. I. B. Williams , F. Jessen , J. Fortágh , D. Nagy , A. Vukics , P. Domokos

We study, numerically and experimentally, the momentum distribution of atoms cooled in optical lattices. Using semi-classical simulations, we show that this distribution is bimodal, made up of a central feature corresponding to "cold",…

Atomic Physics · Physics 2016-05-25 Claude M. Dion , Svante Jonsell , Anders Kastberg , Peder Sjölund

We show that the inclusion of counter-rotating terms, usually dropped in evaluations of interaction of an electric dipole of a two level atom with the electromagnetic field, leads to significant modifications of trapping potential in the…

Quantum Physics · Physics 2009-11-11 Vassilios E Lembessis , Demosthenes Ellinas

We theoretically analyze the cooling dynamics of an atom which is tightly trapped inside a high-finesse optical resonator. Cooling is achieved by suitably tailored scattering processes, in which the atomic dipole transition either scatters…

Quantum Physics · Physics 2012-11-08 Marc Bienert , Giovanna Morigi