[图书][B] A concise introduction to geometric numerical integration

S Blanes, F Casas - 2017 - books.google.com
Discover How Geometric Integrators Preserve the Main Qualitative Properties of Continuous
Dynamical Systems A Concise Introduction to Geometric Numerical Integration presents the …

Nonlinear dynamics in a synthetic momentum-state lattice

FA An, B Sundar, J Hou, XW Luo, EJ Meier, C Zhang… - Physical review …, 2021 - APS
The scope of analog simulation in atomic, molecular, and optical systems has expanded
greatly over the past decades. Recently, the idea of synthetic dimensions—in which …

High-order commutator-free quasi-Magnus exponential integrators for non-autonomous linear evolution equations

S Blanes, F Casas, M Thalhammer - Computer Physics Communications, 2017 - Elsevier
The class of commutator-free quasi-Magnus (CFQM) exponential integrators provides a
favourable alternative to standard Magnus integrators, in particular for large-scale …

A fast algorithm for the Schrödinger equation in quaternionic quantum mechanics

T Jiang, Z Guo, D Zhang, VI Vasil'ev - Applied Mathematics Letters, 2024 - Elsevier
The eigenvalue problem of a Hermitian quaternion matrix plays a crucial role in quaternion
quantum mechanics because it is closely related to the solution of Schrödinger equation. In …

Iterative power algorithm for global optimization with quantics tensor trains

MB Soley, P Bergold, VS Batista - Journal of chemical theory and …, 2021 - ACS Publications
Optimization algorithms play a central role in chemistry since optimization is the
computational keystone of most molecular and electronic structure calculations. Herein, we …

Momentum-space Josephson effects

J Hou, XW Luo, K Sun, T Bersano, V Gokhroo… - Physical review …, 2018 - APS
The Josephson effect is a prominent phenomenon of quantum supercurrents that has been
widely studied in superconductors and superfluids. Typical Josephson junctions consist of …

Tracking quantum-cloud expansion in tunneling ionization

IA Ivanov, AS Kheifets, KT Kim - Physical Review A, 2023 - APS
We study the formation and evolution of the electron wave packets in the process of strong-
field ionization of various atomic targets. Our study is based on reformulating the problem in …

Rapid solution of the Bloch-Torrey equation in anisotropic tissue: Application to dynamic susceptibility contrast MRI of cerebral white matter

J Doucette, L Wei, E Hernández-Torres, C Kames… - Neuroimage, 2019 - Elsevier
Blood vessel related magnetic resonance imaging (MRI) contrast provides a window into the
brain's metabolism and function. Here, we show that the spin echo dynamic susceptibility …

Time-dependent QED approach to x-ray nonlinear Compton scattering

D Krebs, DA Reis, R Santra - Physical Review A, 2019 - APS
Motivated by a recent experiment [Fuchs, Nat. Phys. 11, 964 (2015)] 1745-2473
10.1038/nphys3452, we theoretically investigate the process of x-ray nonlinear Compton …

Magnetic supersolid phases of two-dimensional extended Bose–Hubbard model with spin–orbit coupling

DD Pu, JG Wang, YF Song, XD Bai - New Journal of Physics, 2024 - iopscience.iop.org
We investigate the quantum phases and phase transitions for spin–orbit coupled two-
species bosons with nearest-neighbor (NN) interaction in a two-dimensional square lattice …