Why Magnus Expansion

2021 ◽  
pp. 1-14
Author(s):  
J.A. Oteo ◽  
J. Ros
Keyword(s):  
Magnus Expansion

scholarly journals Bloch-Messiah decomposition and Magnus expansion for parametric down-conversion with monochromatic pump

2018 ◽  
Vol 98 (1) ◽  
Author(s):  
Tobias Lipfert ◽  
Dmitri B. Horoshko ◽  
Giuseppe Patera ◽  
Mikhail I. Kolobov
Keyword(s):  
Magnus Expansion ◽  
Parametric Down Conversion ◽  
Down Conversion

scholarly journals Describing neutrino oscillations in matter with Magnus expansion

2009 ◽  
Vol 816 (1-2) ◽  
pp. 94-116 ◽  
Author(s):  
A.N. Ioannisian ◽  
A.Yu. Smirnov
Keyword(s):  
Neutrino Oscillations ◽  
Magnus Expansion

scholarly journals The Magnus expansion and some of its applications

2009 ◽  
Vol 470 (5-6) ◽  
pp. 151-238 ◽  
Author(s):  
S. Blanes ◽  
F. Casas ◽  
J.A. Oteo ◽  
J. Ros
Keyword(s):  
Magnus Expansion

scholarly journals Quasi-Periodically Driven Quantum Systems

2016 ◽  
Vol 71 (10) ◽  
pp. 897-907 ◽  
Author(s):  
Albert Verdeny ◽  
Joaquim Puig ◽  
Florian Mintert
Keyword(s):  
Critical Review ◽  
Floquet Theory ◽  
Theoretical Framework ◽  
Quantum Systems ◽  
Magnus Expansion ◽  
Quantum Simulations ◽  
Periodically Driven ◽  
Suitable Parameter

AbstractFloquet theory provides rigorous foundations for the theory of periodically driven quantum systems. In the case of non-periodic driving, however, the situation is not so well understood. Here, we provide a critical review of the theoretical framework developed for quasi-periodically driven quantum systems. Although the theoretical footing is still under development, we argue that quasi-periodically driven quantum systems can be treated with generalisations of Floquet theory in suitable parameter regimes. Moreover, we provide a generalisation of the Floquet-Magnus expansion and argue that quasi-periodic driving offers a promising route for quantum simulations.

scholarly journals Free groups and finite-type invariants of pure braids

2002 ◽  
Vol 132 (1) ◽  
pp. 117-130 ◽  
Author(s):  
JACOB MOSTOVOY ◽  
SIMON WILLERTON
Keyword(s):  
Finite Type ◽  
Free Group ◽  
Free Groups ◽  
Braid Groups ◽  
Point Of View ◽  
Magnus Expansion ◽  
Vassiliev Invariants ◽  
Integer Coefficients ◽  
Finite Type Invariants ◽  
Theoretic Point

In this paper finite type invariants (also known as Vassiliev invariants) of pure braids are considered from a group-theoretic point of view. New results include a construction of a universal invariant with integer coefficients based on the Magnus expansion of a free group and a calculation of numbers of independent invariants of each type for all pure braid groups.

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