The Magnus expansion and some of its applications

S Blanes, F Casas, JA Oteo, J Ros - Physics reports, 2009 - Elsevier
Approximate resolution of linear systems of differential equations with varying coefficients is
a recurrent problem, shared by a number of scientific and engineering areas, ranging from …

Condensed matter physics in time crystals

L Guo, P Liang - New Journal of Physics, 2020 - iopscience.iop.org
Time crystals are physical systems whose time translation symmetry is spontaneously
broken. Although the spontaneous breaking of continuous time-translation symmetry in static …

[LIVRE][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 …

Solution of the quasi-one-dimensional linearized Euler equations using flow invariants and the Magnus expansion

I Duran, S Moreau - Journal of Fluid Mechanics, 2013 - cambridge.org
The acoustic and entropy transfer functions of quasi-one-dimensional nozzles are studied
analytically for both subsonic and choked flows with and without shock waves. The present …

Quantum and classical Floquet prethermalization

WW Ho, T Mori, DA Abanin, EG Dalla Torre - Annals of Physics, 2023 - Elsevier
Time-periodic (Floquet) driving is a powerful way to control the dynamics of complex
systems, which can be used to induce a plethora of new physical phenomena. However …

Towards fault tolerant adiabatic quantum computation

DA Lidar - Physical Review Letters, 2008 - APS
I show how to protect adiabatic quantum computation (AQC) against decoherence and
certain control errors, using a hybrid methodology involving dynamical decoupling …

Operator-based Floquet theory in solid-state NMR

I Scholz, JD van Beek, M Ernst - Solid state nuclear magnetic resonance, 2010 - Elsevier
This article reviews the application of operator-based Floquet theory in solid-state NMR.
Basic expressions for calculating effective Hamiltonians based on van Vleck perturbation …

[LIVRE][B] Topics in noncommutative algebra: the theorem of Campbell, Baker, Hausdorff and Dynkin

A Bonfiglioli, R Fulci - 2011 - books.google.com
Motivated by the importance of the Campbell, Baker, Hausdorff, Dynkin Theorem in many
different branches of Mathematics and Physics (Lie group-Lie algebra theory, linear PDEs …

The early proofs of the theorem of Campbell, Baker, Hausdorff, and Dynkin

R Achilles, A Bonfiglioli - Archive for history of exact sciences, 2012 - Springer
The aim of this paper is to provide a comprehensive exposition of the early contributions to
the so-called Campbell, Baker, Hausdorff, Dynkin Theorem during the years 1890–1950 …

[LIVRE][B] Spin: From Basic Symmetries to Quantum Optimal Control

I Kuprov - 2023 - books.google.com
This monograph is a fundamental reference for scientists and engineers who encounter spin
processes in their work. The author, Ilya Kuprov, derives the concept of spin from basic …