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A theoretical description of shell structure for charged particles in a harmonic trap is explored at strong coupling conditions of $\Gamma$ = 50 and 100. The theory is based on an extension of the hypernetted chain approximation to confined…

Statistical Mechanics · Physics 2015-05-14 J. Wrighton , J. W. Dufty , M. Bonitz , H. Kählert

Simple feedback loops, inspired from extremum-seeking, are proposed to lock a probe-frequency to the transition frequency of a single quantum system following quantum Monte-Carlo trajectories. Two specific quantum systems are addressed, a…

Mathematical Physics · Physics 2009-09-09 Mazyar Mirrahimi , Pierre Rouchon

We propose and numerically investigate a scalable ring trap for cold atoms that surmounts problems of roughness of the potential and end--effects of trap wires. A stable trapping potential is formed about an electrically isolated,…

Atomic Physics · Physics 2009-11-13 P. F. Griffin , E. Riis , A. S. Arnold

The correlation energy in density functional theory can be expressed exactly in terms of the change in the probability of finding two electrons at a given distance $r_{12}$ (intracule density) when the electron-electron interaction is…

Other Condensed Matter · Physics 2017-08-23 Paola Gori-Giorgi , Michael Seidl , Andreas Savin

An overview is given of the theoretical work on nucleon spectral functions in finite nuclei. The consequences of the observed spectral strength distribution are then considered in the context of the nuclear-matter saturation problem.…

Nuclear Theory · Physics 2009-09-25 W. H. Dickhoff , E. P. Roth

We quantify multiparticle quantum entanglement in a system of N two-level atoms interacting with a squeezed vacuum state of the electromagnetic field. We calculate the amount of quantum entanglement present among one hundred such two-level…

Quantum Physics · Physics 2016-07-19 Ram Narayan Deb

We calculate correlation functions of exactly-solvable one-dimensional flat-band models by utilizing the "molecular-orbital" representation. The models considered in this paper have a gapped ground state with flat-band being fully occupied,…

Strongly Correlated Electrons · Physics 2022-03-23 Tomonari Mizoguchi , Yoshihito Kuno , Yasuhiro Hatsugai

We propose an experimental method that allows for scaling of all the diagonal correlation functions (such as the density and pair correlation function) during the expansion of harmonically trapped cold atomic gases with arbitrary…

Other Condensed Matter · Physics 2009-11-13 C. Lobo , S. D. Gensemer

Correlation functions, such as static and dynamic structure factors, offer a versatile approach to analyzing atomic-scale structure and dynamics. By having access to the full dynamics from atomistic simulations, they serve as valuable tools…

The assumption that wave function collapse is induced by correlating interactions of the kind that constitute measurements leads to a stochastic collapse equation that does not require the introduction of any new physical constants and that…

Quantum Physics · Physics 2022-01-14 Edward J. Gillis

We compute the ground state energy of two atoms in a one-dimensional geometry of a harmonic optical trap. We obtain a dependence of the energy on a one-dimensional scattering length, which corresponds to various strengths of the interaction…

Atomic Physics · Physics 2015-06-16 I. S. Ishmukhamedov , D. S. Valiolda , S. A. Zhaugasheva

The ring configurations for classical two-dimensional atoms are calculated within the Thomson model and compared with the results from `exact' numerical simulations. The influence of the functional form of the confinement potential and the…

Condensed Matter · Physics 2009-10-28 B. Partoens , F. M. Peeters

We propose a self-contained and accessible derivation of an exact formula for the $n$-point correlation functions of the signal measured when continuously observing a quantum system. The expression depends on the initial quantum state and…

Quantum Physics · Physics 2024-01-10 Pierre Guilmin , Pierre Rouchon , Antoine Tilloy

We study a strongly attractive system of a few spin-1/2 fermions confined in a one-dimensional harmonic trap, interacting via two-body contact potential. Performing exact diagonalization of the Hamiltonian we analyze the ground state and…

Quantum Gases · Physics 2015-02-02 Tomasz Sowiński , Mariusz Gajda , Kazimierz Rzążewski

Quantum thermodynamics of a trapped two-level atom under the influence of a controlled light field is investigated. The population dynamics and decoherency function are obtained and discussed. The characteristic functions, work distribution…

Quantum Physics · Physics 2021-08-24 A. Moradian , F. Kheirandish

Magneto-Optical Traps have been used for several decades. Among fundamental mechanisms occuring in such traps, the magnitude of the multiple scattering is still unclear. Indeed, many experimental situations cannot be modeled easily,…

Atomic Physics · Physics 2014-06-11 Rudy Romain , Hélène Louis , Philippe Verkerk , Daniel Hennequin

We analyze a trapping reaction with a single penetrable trap, in a one dimensional lattice, where both species (particles and trap) are mobile and have a drift velocity. We obtain the density as seen from a reference system attached to the…

Condensed Matter · Physics 2009-10-31 Alejandro D. Sanchez

We demonstrate single-atom trapping in two-dimensional arrays of microtraps with arbitrary geometries. We generate the arrays using a Spatial Light Modulator (SLM), with which we imprint an appropriate phase pattern on an optical dipole…

Ground-state properties of a few attractively interacting ultra-cold atoms of different mass confined in a one-dimensional harmonic trap are studied in terms of the correlation noise. Depending on the mass ratio between the components'…

Quantum Gases · Physics 2019-04-15 Daniel Pęcak , Tomasz Sowiński

The number of atoms trapped within the mode of an optical cavity is determined in real time by monitoring the transmission of a weak probe beam. Continuous observation of atom number is accomplished in the strong coupling regime of cavity…

Quantum Physics · Physics 2007-05-23 J. McKeever , J. R. Buck , A. D. Boozer , H. J. Kimble