Floquet engineering of Lie algebraic quantum systems
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DOI: 10.1103/physrevb.105.l020301
Abstract: We propose a ‘Floquet engineering’ formalism to systematically design a periodic driving protocol in order to stroboscopically realize the desired system starting from a given static Hamiltonian. The formalism is applicable to interacting and non-interacting… read more here.
Keywords: floquet engineering; engineering; algebraic quantum; quantum systems ... See more keywords
Parameters of noncommutativity in Lie-algebraic noncommutative space
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DOI: 10.1103/physrevd.99.026009
Abstract: We find condition on the parameters of noncommutativity on which a list of important results can be obtained in a space with Lie-algebraic noncommutativity. Namely, we show that the weak equivalence principle is recovered in… read more here.
Keywords: noncommutativity lie; center mass; lie algebraic; parameters noncommutativity ... See more keywords
On a Lie Algebraic Approach to Abelian Extensions of Associative Algebras
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DOI: 10.4153/s0008439520000193
Abstract: Abstract By using a representation of a Lie algebra on the second Hochschild cohomology group, we construct an obstruction class to extensibility of derivations and a short exact sequence of Wells type for an abelian… read more here.
Keywords: extensions associative; approach abelian; abelian extensions; algebraic approach ... See more keywords