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Based on the favourable properties of previously used one-dimensional (1D) atomic model potentials, we introduce a novel 1D atomic model potential for the 1D simulation of the quantum dynamics of a single active electron atom driven by a…

Atomic Physics · Physics 2025-02-25 Krisztina Sallai , Szabolcs Hack , Szilárd Majorosi , Attila Czirják

We present results on the accurate one-dimensional (1D) modeling of simple atomic and molecular systems excited by strong laser fields. We use atomic model potentials that we derive from the corrections proposed earlier using the reduced…

We present a local density approximation (LDA) for one-dimensional (1D) systems interacting via the soft-Coulomb interaction based on quantum Monte-Carlo calculations. Results for the ground-state energies and ionization potentials of…

Strongly Correlated Electrons · Physics 2015-05-27 N. Helbig , J. I. Fuks , M. Casula , M. J. Verstraete , M. A. L. Marques , I. V. Tokatly , A. Rubio

Ultracold dipolar atoms and molecules provide a flexible quantum simulation platform for studying strongly interacting many-body systems. Determining microscopic Hamiltonian parameters of the simulator is crucial for it to be useful. We…

In strong electromagnetic fields, unique plasma phenomena and applications emerge, whose description requires recently developed theories and simulations [Y. Shi, Ph.D. thesis, Princeton University (2018)]. In the classical regime, to…

Plasma Physics · Physics 2021-04-21 Yuan Shi , Hong Qin , Nathaniel J. Fisch

Simulations at the atomic scale provide a direct and effective way to understand the mechanical properties of materials. In the regime of classical mechanics, simulations for the thermodynamic properties of metals and alloys can be done by…

Computational Physics · Physics 2019-11-05 Ka-Ming Tam , Nicholas Walker , Samuel Kellar , Mark Jarrell

Due to the high computational cost of 3D particle-in-cell (PIC) simulations, lower-dimensional (2D or 1D) simulations are frequently used in their place. Our work shows that when modeling high-intensity laser ion acceleration, simulation…

Plasma Physics · Physics 2025-03-06 Lillian A. Daneshmand , Madeline Aszalos , Scott Feister , Joseph R. Smith

We consider one-dimensional regularizations of the Coulomb potential formed by taking a two-dimensional expectation of the Coulomb potential with respect to the Landau states. It is well-known that such functions arises naturally in the…

Mathematical Physics · Physics 2007-05-23 Raymond Brummelhuis , Mary Beth Ruskai , Elisabeth Werner

We explore the roles of electronic band structure and Coulomb interactions in solid-state HHG by studying the optical response of linear atomic chains and carbon nanotubes to intense ultrashort pulses. Specifically, we simulate electron…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Sandra de Vega , Joel D. Cox , Fernando Sols , F. Javier García de Abajo

We present a technique to represent anisotropic heavy-quark potentials as effective potentials. This involves employing an effective screening mass linked to the quantum numbers $l$ and $m$ of a specific state. Our approach utilizes the…

High Energy Physics - Phenomenology · Physics 2023-12-13 Ajaharul Islam

We consider a one-dimensional effective quantum electrodynamics (QED) model of the relativistic hydrogen-like atom using delta-potential interactions. We discuss the general exact theory and the Hartree-Fock approximation. The present…

Mathematical Physics · Physics 2023-06-27 Timothée Audinet , Julien Toulouse

The 1+1D O(3) non-linear {\sigma}-model is a model system for future quantum lattice simulations of other asymptotically-free theories, such as non-Abelian gauge theories. We find that utilizing dimensional reduction can make efficient use…

Quantum Physics · Physics 2023-04-06 Anthony N. Ciavarella , Stephan Caspar , Hersh Singh , Martin J. Savage

Our exact theory for continuous harmonic perturbation of a one dimensional model atom by parametric variations of its potential is generalized for the cases when a) the atom is exposed to short pulses of an external harmonic electric field…

Atomic and Molecular Clusters · Physics 2016-11-03 Alexander Rokhlenko

With the aim of progressing toward a practical implementation of an effective quantum-electrodynamics (QED) theory of atoms and molecules, which includes the effects of vacuum polarization through the creation of virtual electron-positron…

Quantum Physics · Physics 2025-03-11 Timothée Audinet , Umberto Morellini , Antoine Levitt , Julien Toulouse

Recently the simulation of quantum field theories using man-made physical systems has become realistic. In this publication we present numerical results which support the use of quantum simulation experiments to study quantum field theories…

High Energy Physics - Lattice · Physics 2016-11-03 Wynne Evans , Urs Gerber , Uwe-Jens Wiese

An overview of computational methods to describe high-dimensional potential energy surfaces suitable for atomistic simulations is given. Particular emphasis is put on accuracy, computability, transferability and extensibility of the methods…

Chemical Physics · Physics 2020-07-08 Oliver T. Unke , Debasish Koner , Sarbani Patra , Silvan Käser , Markus Meuwly

In this article we discuss the accuracy of effective one-dimensional theories used to describe the behavior of ultracold atomic ensembles confined in quantum wires by a harmonic trap. We derive within a fully many-body approach the…

Quantum Gases · Physics 2023-05-03 F Chevy , G Orso

Simulating key static and dynamic properties of matter -- from creation in the Big Bang to evolution into sub-atomic and astrophysical environments -- arising from the underlying fundamental quantum fields of the Standard Model and their…

High Energy Physics - Phenomenology · Physics 2024-04-10 Christian W. Bauer , Zohreh Davoudi , Natalie Klco , Martin J. Savage

Following two recent papers [Phys. Chem. Chem. Phys. 2015, \textbf{17}, 3196; Mol. Phys. 2015, \textbf{113}, 1843], we perform a larger-scale study of chemical structure in one dimension (1D). We identify a wide, and occasionally…

Chemical Physics · Physics 2017-05-01 Caleb J. Ball , Pierre-François Loos , P. M. W. Gill

Ultrafast electronic dynamics are typically studied using pulsed lasers. We demonstrate a complementary experimental approach: quantum simulation of ultrafast dynamics using trapped ultracold atoms. Counter-intuitively, this technique…

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