The Magnus Expansion for Stochastic Differential Equations
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Nonlinear Science"
DOI: 10.1007/s00332-019-09578-9
Abstract: In this paper, all the terms in the stochastic Magnus expansion are presented by rooted trees. First, stochastic Magnus methods for linear stochastic differential equations are constructed by truncating the stochastic Magnus expansion. Then, explicit… read more here.
Keywords: stochastic magnus; magnus expansion; differential equations; stochastic differential ... See more keywords
Magnus expansion for a chirped quantum two-level system
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DOI: 10.1103/physreva.98.023855
Abstract: We derive a Magnus expansion for a frequency chirped quantum two-level system. We obtain a time-independent effective Hamiltonian which generates a stroboscopic time evolution. At lowest order the according dynamics is identical to results from… read more here.
Keywords: two level; level system; expansion; quantum two ... See more keywords
Operator evolution from the similarity renormalization group and the Magnus expansion
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DOI: 10.1103/physrevc.102.034005
Abstract: The Magnus expansion is an efficient alternative to solving similarity renormalization group (SRG) flow equations with high-order, memory-intensive ordinary differential equation solvers. The numerical simplifications it offers for operator evolution are particularly valuable for in-medium… read more here.
Keywords: operator evolution; similarity renormalization; renormalization group; magnus expansion ... See more keywords
Coarse-Grained Effective Hamiltonian via the Magnus Expansion for a Three-Level System
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DOI: 10.3390/e25020234
Abstract: Quantum state processing is one of the main tools of quantum technologies. While real systems are complicated and/or may be driven by non-ideal control, they may nevertheless exhibit simple dynamics approximately confined to a low-energy… read more here.
Keywords: magnus expansion; grained effective; coarse grained; effective hamiltonian ... See more keywords