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Precise control over interactions between ballistic electrons will enable us to exploit Coulomb interactions in novel ways, to develop high-speed sensing, to reach a non-linear regime in electron quantum optics and to realise schemes for…

Mesoscale and Nanoscale Physics · Physics 2022-10-10 J. D. Fletcher , W. Park , S. Ryu , P. See , J. P. Griffiths , G. A. C. Jones , I. Farrer , D. A. Ritchie , H. -S. Sim , M. Kataoka

We present a time-dependent quantum algorithm for nuclear inelastic scattering in the time-dependent basis function on qubits approach. This algorithm aims to quantum simulate a subset of the nuclear inelastic scattering problems that are…

Nuclear Theory · Physics 2021-07-28 Weijie Du , James P. Vary , Xingbo Zhao , Wei Zuo

Laser cooling and trapping of atoms and atomic ions has led to numerous advances including the observation of exotic phases of matter, development of exquisite sensors and state-of-the-art atomic clocks. The same level of control in…

An ab initio, three-dimensional quantum mechanical calculation has been performed for the time-evolution of continuum electrons in the fields of moving charges. Here the essential singularity associated with the diverging phase factor in…

Atomic Physics · Physics 2009-11-13 Teck-Ghee Lee , S. Yu. Ovchinnikov , J. Sternberg , V. Chupryna , D. R. Schultz , J. H. Macek

The only available analytical framework for investigating QED processes in a strong laser field systematically relies on approximating the latter as a plane wave. However, realistic high-intensity laser beams feature much more complex…

High Energy Physics - Phenomenology · Physics 2016-12-21 A. Di Piazza

We demonstrate the potential of X-ray free-electron lasers (XFEL) to advancethe understanding of complex plasma dynamics by allowing for the first time nanometer and femtosecond resolution at the same time in plasma diagnostics. Plasma…

A quantum kinetic theory for correlated charged-particle systems in strong time-dependent electromagnetic fields is developed. Our approach is based on a systematic gauge-invariant nonequilibrium Green's functions formulation. Extending our…

Statistical Mechanics · Physics 2015-06-25 M. Bonitz , Th. Bornath , D. Kremp , M. Schlanges , W. D. Kraeft

We propose a quantum-assisted framework for solving constrained finite-horizon nonlinear optimal control problems using a barrier Sequential Quadratic Programming (SQP) approach. Within this framework, a quantum subroutine is incorporated…

Quantum Physics · Physics 2025-10-22 Nahid Binandeh Dehaghani , Rafal Wisniewski , A. Pedro Aguiar

We analyze the obtained solutions of the non-linear Shroedinger equation for spherically and axially symmetrical electrons density oscillations in plasma. The conditions of the oscillations process existence are examined. It is shown that…

Plasma Physics · Physics 2009-07-31 Maxim Dvornikov , Sergey Dvornikov

With the advent of ultra-high power lasers the nonlinear nature of the vacuum of quantum electrodynamics (QED) can be probed. Due to the highly nonlinear structure of the underlying equations new numerical algorithms are required. A…

Computational Physics · Physics 2017-09-27 Arnau Pons Domenech , Hartmut Ruhl

PAX (antiProtonic Atom X-ray spectroscopy) is a new experiment with the aim to test strong-field quantum electrodynamics (QED) effects by performing high-precision x-ray spectroscopy of antiprotonic atoms. By utilizing advanced…

The dynamics of entanglement during the low energy scattering processes in bipartite systems at the presence of a laser field is studied, using the Kramers-Henneberger unitary transformation as the semi classical counterpart of the…

Plasma Physics · Physics 2020-01-16 R. RoozehdarMogaddam , N. SepehriJavan , K. Javidan , H. Mohammadzadeh

We investigate the generation of higher-order harmonics from a quantum optics perspective via the interaction of a semiconductor with a coherent pump field focusing on the regime where strong-field intraband excitations dominate. The…

We present a semidefinite program (SDP) algorithm to find eigenvalues of Schr\"{o}dinger operators within the bootstrap approach to quantum mechanics. The bootstrap approach involves two ingredients: a nonlinear set of constraints on the…

High Energy Physics - Theory · Physics 2023-06-07 David Berenstein , George Hulsey

We study theoretically fast transfer of excitons between pairs of coupled quantum dots driven by the optical Stark effect that is produced by a short nonresonant laser pulse. The Schr\"odinger equation, in which the relative position of…

Mesoscale and Nanoscale Physics · Physics 2014-08-07 P. A. Golovinski , V. A. Astapenko , A. V. Yakovets

A new class of cost functionals for optimal control of quantum systems which produces controls which are sparse in frequency and smooth in time is proposed. This is achieved by penalizing a suitable time-frequency representation of the…

Optimization and Control · Mathematics 2016-07-15 Gero Friesecke , Felix Henneke , Karl Kunisch

We propose quantum algorithms for complex-valued nonlinear partial differential equations in the strongly nonlinear regime, where the dynamics is governed by vortex cores, phase singularities, and nonlinear vortex interactions. Examples…

Quantum Physics · Physics 2026-04-16 Shi Jin , Nana Liu , Chuwen Ma

Study of fine spectral properties of quasiperiodic and similar discrete Schr\"odinger operators involves dealing with problems caused by small denominators, and until recently was only possible using perturbative methods, requiring certain…

Mathematical Physics · Physics 2007-05-23 Svetlana Ya. Jitomirskaya

We derive the form of the cross-Kerr interaction in a four-level atomic system in the N-configuration. We use time-independent perturbation theory to calculate the eigenenergies and eigenstates of the Schrodinger equation for the system.…

Quantum Physics · Physics 2009-11-13 Gary F. Sinclair , Natalia Korolkova

Quantum systems are dynamic systems restricted by the principles of quantum mechanics (linearity of dynamic equations, linear transformation of the wave function etc.). One suggests to investigate the quantum systems simply as dynamic…

General Physics · Physics 2007-05-23 Yuri A. Rylov