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manipulating single atoms - Quantum technologies
manipulating single atoms - Quantum technologies

... Perhaps even more importantly they have initiated new lines of research where the control of atomic systems—and in particular atom–atom interactions—have opened the route to study novel many particle systems. The celebrated realization of Bose–Einstein condensation with neutral atoms in 1995 [12,13] ...
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J. Phys. Chem. B 106, 8271, 2002

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... research, new relations to combinatorial design theory were discovered. Just as quantum mechanics is a non-commutative generalization of classical mechanics, the theory which will be proposed here can be considered a non-commutative generalization of classical, combinatorial design theory. Besides w ...
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... derived the function I as the unique one, which does not increase under some class of operations. The motivation came from considering information as a resource in distributed systems 关3兴. The main aim of the present paper is to present the full rigorous version of that derivation. In the process, w ...
Nanoscale Coherent Control
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... philosophical difference: chemists and physicists look for natural laws that hold generally, whereas biologists and medical researchers are more interested in particular incarnations of natural phenomena occurring under well-controlled, but specific, conditions. This thesis is about breaking down th ...
On Exotic Orders in Stongly Correlated Systems
On Exotic Orders in Stongly Correlated Systems

... deeply, and to recognize honestly the boundaries of my own understanding. But above all, he has been a constant reminder of what drew me to academic life in the first place: a genuine intellectual, who finds fascinating questions in a multitude of areas of life, and takes sincere pleasure in seeking ...
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... ball. Since the ball travels nearly horizontally, the effects of gravity are negligible. Momentum is conserved. Since the initial momentum of the system is zero, it must remain zero as the ball is thrown and caught. While the ball is in motion, the platform will recoil in such a way that the total m ...
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Spectroscopy - Metameso.org

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... with respect to the symplectic structure found by a technique outlined in Section 2; the result is shown to specialize to the spherical case of Faou and Lubich [10] in Section 5. Then, in Section 4, we exploit the symplectic point of view to discuss the symplectic reduction of the non-spherical Gaus ...
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... QWs. A further theoretical study, within the effective-mass approximation, considered an expansion of the magnetoexciton-envelope wave functions in terms of products of hole and electron QW states with appropriate Gaussian functions8 –10 for the various excitonic states.11 Both theoretical approache ...
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Structure and transport properties of atomic chains and molecules
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... Quantum mechanics has shown an ever increasing range of applicability, making it more and more evident that the formalism describes some general properties of Nature. Despite this success of quantum theory, there is still no consensus about its interpretation. The main problems center around the not ...


... can ow without dissipation even inside a rigid crystalline structure, although being counterintuitive, has been proposed more than forty years ago [11, 12, 13]. A similar behavior, which cannot occur in classical solids where atoms are well localized around their lattice positions, is not in princi ...
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CommissionLecture4
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Renormalization group



In theoretical physics, the renormalization group (RG) refers to a mathematical apparatus that allows systematic investigation of the changes of a physical system as viewed at different distance scales. In particle physics, it reflects the changes in the underlying force laws (codified in a quantum field theory) as the energy scale at which physical processes occur varies, energy/momentum and resolution distance scales being effectively conjugate under the uncertainty principle (cf. Compton wavelength).A change in scale is called a ""scale transformation"". The renormalization group is intimately related to ""scale invariance"" and ""conformal invariance"", symmetries in which a system appears the same at all scales (so-called self-similarity). (However, note that scale transformations are included in conformal transformations, in general: the latter including additional symmetry generators associated with special conformal transformations.)As the scale varies, it is as if one is changing the magnifying power of a notional microscope viewing the system. In so-called renormalizable theories, the system at one scale will generally be seen to consist of self-similar copies of itself when viewed at a smaller scale, with different parameters describing the components of the system. The components, or fundamental variables, may relate to atoms, elementary particles, atomic spins, etc. The parameters of the theory typically describe the interactions of the components. These may be variable ""couplings"" which measure the strength of various forces, or mass parameters themselves. The components themselves may appear to be composed of more of the self-same components as one goes to shorter distances.For example, in quantum electrodynamics (QED), an electron appears to be composed of electrons, positrons (anti-electrons) and photons, as one views it at higher resolution, at very short distances. The electron at such short distances has a slightly different electric charge than does the ""dressed electron"" seen at large distances, and this change, or ""running,"" in the value of the electric charge is determined by the renormalization group equation.
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