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We review experimental and theoretical tools to excite, study and understand strongly interacting Rydberg gases. The focus lies on the excitation of dense ultracold atomic samples close to, or within quantum degeneracy, to high lying…

Motivated by current interest in the dynamics of trapped quantum gases, we study the microcanonical dynamics of a trapped one-dimensional gas of classical particles interacting via a finite-range repulsive force of tunable strength. We…

Statistical Mechanics · Physics 2018-08-01 Zhiyu Dong , R. Moessner , Masudul Haque

Rydberg dressing traditionally refers to a technique where interactions between cold atoms are imprinted through the far off-resonant continuous-wave excitation of high-lying Rydberg states. Dipolar interactions between these electronic…

Atomic Physics · Physics 2025-05-07 Chris Nill , Sylvain de Léséleuc , Christian Groß , Igor Lesanovsky

We provide a statistical and correlational analysis of the spatial and energetic properties of equilibrium configurations of a few-body system of two to eight equally charged classical particles that are confined on a one-dimensional…

Atomic Physics · Physics 2025-12-02 J. M. Dörre , F. K. Diakonos , P. Schmelcher

We study a two-dimensional lattice gas of atoms that are photo-excited to high-lying Rydberg states in which they interact via the van-der-Waals interaction. We explore the regime of dominant nearest neighbor interaction where this system…

Atomic Physics · Physics 2015-05-27 S. Ji , C. Ates , I. Lesanovsky

We investigate an ensemble of atoms which can be excited into a Rydberg state. Using a disordered quantum Ising model, we perform a numerical simulation of the experimental procedure and calculate the probability distribution function…

Quantum Gases · Physics 2012-10-08 David Breyel , Thomas L. Schmidt , Andreas Komnik

State-specific electronic structure theory provides a route towards balanced excited-state wave functions by exploiting higher-energy stationary points of the electronic energy. Multiconfigurational wave function approximations can describe…

Chemical Physics · Physics 2023-07-19 Antoine Marie , Hugh G. A. Burton

We present a method for finding individual excited states' energy stationary points in complete active space self-consistent field theory that is compatible with standard optimization methods and highly effective at overcoming difficulties…

Strongly Correlated Electrons · Physics 2019-04-12 Lan Nguyen Tran , Jacqueline A. R. Shea , Eric Neuscamman

We show that two tight binding electrons that repel may form a bounded pair in two dimensions. The paired states form a band with energies that scale like the strength of the interaction potential. By applying an electric field we show that…

Strongly Correlated Electrons · Physics 2015-05-18 D. Souza , F. Claro

We report the implementation of equation-of-motion coupled-cluster (EOMCC) method in the four-component relativistic framework with the spherical atomic potential to generate the excited states from a closed-shell atomic configuration. This…

Atomic Physics · Physics 2015-06-19 D. K. Nandy , Yashpal Singh , B. K. Sahoo

We study the rotational properties of a two-component Bose-Einstein condensed gas of distinguishable atoms which are confined in a ring potential using both the mean-field approximation, as well as the method of diagonalization of the…

Excited state normal modes analysis is systematically applied to investigate and compare relaxation and internal conversion dynamics of a free-base porphyrin with a novel functional porphyrin derivative. We discuss strenghts and limitation…

Chemical Physics · Physics 2023-07-11 Pavel Rukin , Deborah Prezzi , Carlo Andrea Rozzi

We study the emergence of many-body correlations in the stationary state of continuously-driven, strongly-interacting dissipative system. Specifically, we examine resonant optical excitations of Rydberg states of atoms interacting via…

Atomic Physics · Physics 2013-05-30 David Petrosyan , Michael Hoening , Michael Fleischhauer

We explore the interaction quench dynamics of two atoms with different masses and subject to different trapping potentials. Notably, under such anisotropic conditions, the nonequilibrium dynamics can lead to the occupation of molecular…

Atomic Physics · Physics 2025-04-11 I. S. Ishmukhamedov , A. S. Ishmukhamedov , Zh. E. Jalankuzov , D. V. Ismailov

In Bose-Einstein condensation, a macroscopically large number of particles occupy the same single-particle quantum state. Our goal is to study time-dependent aspects of particle excitations to states other than the single-particle…

Mathematical Physics · Physics 2009-11-13 Dionisios Margetis

This Letter provides the solution to a yet unsolved basic problem of Solid State Physics: the ground state energy of an arbitrary number of Cooper pairs interacting via the Bardeen-Cooper-Schrieffer potential. We here break a 50 year old…

Superconductivity · Physics 2011-11-28 Michel Crouzeix , Monique Combescot

We focus our quantitative analysis on the stability of the insulator state in the Hubbard model at a half-filling. Taking into account large-scale fluctuations (with a long relaxation time) of the on-site Coulomb repulsion, we consider the…

Strongly Correlated Electrons · Physics 2021-08-10 Igor N. Karnaukhov

The potential energy problem in an electrostatically bound two-body system is studied in the framework of a recently proposed impact model of the electrostatic force and in analogy to the potential energy in a gravitationally bound system.…

General Physics · Physics 2015-01-23 K. Wilhelm , B. N. Dwivedi

We study the geometric particle-in-cell methods for an electrostatic hybrid plasma model. In this model, ions are described by the fully kinetic equations, electron density is determined by the Boltzmann relation, and space-charge effects…

Numerical Analysis · Mathematics 2026-03-26 Yingzhe Li

The \textit{ab initio} approach is used to evaluate the excitation energies of the $2s2p \, ^{2S+1}P_J$ states from the ground state as well as the $2s2p \, ^3P_1 \rightarrow 2s2p \, ^3P_0$ and $2s2p \, ^3P_2 \rightarrow 2s2p \, ^3P_1$…

Atomic Physics · Physics 2024-11-05 A. V. Malyshev , Y. S. Kozhedub , V. M. Shabaev , I. I. Tupitsyn