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Hydrogen atom in crossed electric and magnetic fields: Phase space
Hydrogen atom in crossed electric and magnetic fields: Phase space

`Nonclassical` states in quantum optics: a `squeezed` review of the
`Nonclassical` states in quantum optics: a `squeezed` review of the

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Canopy quantum yield in a mesocosm study

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... Almost 25 years after the discovery of the quantum Hall effect, topological phenomena made a new appeareance in the world of solid state physics, in what is now the flourishing field of topological insulators [19, 40, 14, 2]. These materials, first theorized and soon experimentally realized around 2 ...
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The Second Law of Quantum Complexity

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Entanglement in periodically driven quantum systems

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PDF Version - UCSF Dept of Anesthesia

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Macroscopic Local Realism: How Do We Define It and Is It

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The fourth age of quantum chemistry - of Attila G. Császár

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Annals of Physics Classical impurities and boundary Majorana zero

... In Section 4 we explicitly construct a triplet of conserved operators which obey the standard spin 1/2 algebra, and are quasi-local in the disordered phase. We relate their existence to the integrable character of the considered models, and compare with similar conserved operators in many-body local ...
Lectures on the Geometry of Quantization
Lectures on the Geometry of Quantization

Full text in PDF form
Full text in PDF form

Synthesizing arbitrary quantum states in a superconducting resonator
Synthesizing arbitrary quantum states in a superconducting resonator

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GAP Optique Geneva University

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Quantum group

In mathematics and theoretical physics, the term quantum group denotes various kinds of noncommutative algebra with additional structure. In general, a quantum group is some kind of Hopf algebra. There is no single, all-encompassing definition, but instead a family of broadly similar objects.The term ""quantum group"" first appeared in the theory of quantum integrable systems, which was then formalized by Vladimir Drinfeld and Michio Jimbo as a particular class of Hopf algebra. The same term is also used for other Hopf algebras that deform or are close to classical Lie groups or Lie algebras, such as a `bicrossproduct' class of quantum groups introduced by Shahn Majid a little after the work of Drinfeld and Jimbo.In Drinfeld's approach, quantum groups arise as Hopf algebras depending on an auxiliary parameter q or h, which become universal enveloping algebras of a certain Lie algebra, frequently semisimple or affine, when q = 1 or h = 0. Closely related are certain dual objects, also Hopf algebras and also called quantum groups, deforming the algebra of functions on the corresponding semisimple algebraic group or a compact Lie group.Just as groups often appear as symmetries, quantum groups act on many other mathematical objects and it has become fashionable to introduce the adjective quantum in such cases; for example there are quantum planes and quantum Grassmannians.
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