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The semi-Lagrangian methods with the improved number of one-dimensional advections are proposed for a plasma hybrid model with kinetic ions and mass-less electrons. Two subsystems with mass, momentum, and energy conservation are obtained by…

Numerical Analysis · Mathematics 2025-08-25 Yingzhe Li , Philip J. Morrison , Eric Sonnendrücker

Laser accelerated protons can be a complimentary source for treatment of oncological diseases to the existing hadron therapy facilities. We demonstrate how the protons, accelerated from near-critical density plasmas by laser pulses having…

In this paper, we show how the It\^o-stochastic Magnus expansion can be used to efficiently solve stochastic partial differential equations (SPDE) with two space variables numerically. To this end, we will first discretize the SPDE in space…

Numerical Analysis · Mathematics 2024-03-27 Kevin Kamm , Stefano Pagliarani , Andrea Pascucci

A new method, dual-space cluster expansion, is proposed to study classical phases transitions in the continuum. It relies on replacing the particle positions as integration variables by the momenta of the relative displacements of particle…

Mathematical Physics · Physics 2025-11-18 Andras Suto

We derive a general expression for the multipole expansion of the electro-magnetic interaction in relativistic heavy-ion collisions, which can be employed in higher-order dynamical calculations of Coulomb excitation. The interaction has…

Nuclear Theory · Physics 2009-11-07 H. Esbensen , C. A. Bertulani

$\Lambda$-doubling of diatomic molecules is a subtle microscopic phenomenon that has long attracted the attention of experimental groups, insofar as rotation of molecular $\textit{nuclei}$ induces small energetic changes in the (degenerate)…

This paper discusses how to improve the Boris pusher used to advance relativistic charged particles in fixed electromagnetic fields. We first derive a simpler solution to a flaw previously discovered by others. We then derive a new analytic…

Computational Physics · Physics 2022-10-26 Viktor K. Decyk , Warren B. Mori , Fei Li

A new splitting is proposed for solving the Vlasov-Maxwell system. This splitting is based on a decomposition of the Hamiltonian of the Vlasov-Maxwell system and allows for the construction of arbitrary high order methods by composition…

Numerical Analysis · Mathematics 2017-01-06 Nicolas Crouseilles , Lukas Einkemmer , Erwan Faou

In this article we present a comprehensive theoretical investigation of phonon lasing with mixed-species trapped ions, as demonstrated in [T. Behrle, Phys. Rev. Lett. 131 (2023)], employing both a semi-classical mean-field description and a…

Quantum Physics · Physics 2026-04-21 David Baur , Tanja Behrle , Ivan Rojkov , Jan Jeske , Susanne Yelin , Jonathan Home , Florentin Reiter

Wavefunction-splitting or mask method, widely used in the non-relativistic calculations of the photoelectron angular distributions, is extended to the relativistic domain within the dipole approximation. Since the closed-form expressions…

Atomic Physics · Physics 2020-10-28 D. A. Tumakov , Dmitry A. Telnov , G. Plunien , V. A. Zaytsev , V. M. Shabaev

We use the multipole technique to derive four equivalent expressions for the bipolar expansion of the inverse distance, valid in all the regions of configuration space. Using the first-order perturbation theory, we calculate the overlap…

Mathematical Physics · Physics 2016-06-24 G. Vaman

We describe an opto-mechanical system in which the coupling between optical and mechanical degrees of freedom takes the form of a fully quantised third-order parametric interaction. Two physical realisations are proposed: a harmonically…

Quantum Physics · Physics 2009-06-19 C A Holmes , G J Milburn

The ability to prepare desired states without allowing time for the atomic system to spontaneously decay to the ground state is limited by the fact that Hamiltonian controls cannot affect the purity of the state in question. In this paper,…

Quantum Physics · Physics 2017-08-28 Somayeh M. A. Mirzaee , Chitra Rangan

We investigate some aspects of the dynamics and entanglement of bipartite quantum system (atom-quantized field), coupled to a third ``external" subsystem (quantized field). We make use of the Raman coupled model; a three-level atom in a…

Quantum Physics · Physics 2021-03-30 G. L. Deçordi , A. Vidiella-Barranco

IIn this paper we demonstrate a new scheme for Raman transitions which realize a symmetric momentum-space splitting of $4 \hbar k$, deflecting the atomic wave-packets into the same internal state. Combining the advantages of Raman and Bragg…

For studying the dynamics of a two-level system coupled to a quantum oscillator we have presented an analytical approach, the transformed rotating-wave approximation, which takes into account the effect of the counter-rotating terms but…

Quantum Physics · Physics 2015-05-13 Congjun Gan , Hang Zheng

We discuss the Bloch-Messiah decomposition for the broadband squeezed light generated by type-I parametric down-conversion with monochromatic pump. Using an exact solution for this process, we evaluate the squeezing parameters and the…

Quantum Physics · Physics 2018-09-05 Tobias Lipfert , Dmitri Horoshko , Giuseppe Patera , Mikhail Kolobov

Numerical solutions for laser-matter interaction in Schr\"odinger equation has many applications in theoretical chemistry, quantum physics and condensed matter physics. In this paper we introduce a methodology which allows, with a small…

Numerical Analysis · Mathematics 2018-05-24 Arieh Iserles , Karolina Kropielnicka , Pranav Singh

We have used optically excited ultrashort electrical pulses to measure the magnetoplasmon resonance of a two-dimensional electron gas formed in an AlGaAs/GaAs heterostructure at frequencies up to 200 gigahertz. This is accomplished by…

Materials Science · Physics 2009-11-07 E. A. Shaner , S. A. Lyon

Raman amplification of a short laser pulse off a long laser beam has been demonstrated successfully for moderate probe intensities ($\sim 10^{16}$ W/cm$^2$) and widths ($\sim 50$ micron). However, truly competitive intensities can only be…