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Spin Squeezing, Macrorealism and the Heisenberg uncertainty
Spin Squeezing, Macrorealism and the Heisenberg uncertainty

... preexisting properties of a system and can be in principle obtained with an arbitrarily small perturbation of the input state [21, 175]. Even more strikingly, as noted first by Einstein, Podolsky and Rosen in their seminal paper [52], quantum mechanics predicts effects that are in explicit tension w ...
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... We present an in-depth analysis regarding the error resistance and optimization of our all-optical Bell measurement and ultrafast long-distance quantum communication scheme proposed in [arXiv:1503.06777]. In order to promote our previous proposal from loss- to fault-tolerance, we introduce a general ...
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Path Resummations and the Fermion Sign Problem

... In a recent paper [1], we have proposed a method to perform quantum Monte Carlo (QMC) simulations of Fermion systems based on the idea of sampling “graphs”, rather than “paths”. The latter, being rooted in Feynman’s “realspace imaginary-time” path-integral (PI) theory [2–4], has been the paradigmati ...
Manifestation and Origin of the Isotope Effect
Manifestation and Origin of the Isotope Effect

... theory to explain behavior of large number (ensembles) of microscopic objects, such as atoms or electrons [49]. However over the last decades, considerable interest in the application of quantum theory to individual systems - mesoscopic and even macroscopic systems where a small number of collective ...
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Regular/irregular phase space structure of HCN/HNC

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... lecent years.' For the above purposes, of special interest is the computation of those dynamical quantities such as state-tostate and stete-to-all intepal cross sections which, although being averaged, are still directly comparable with experiments while being sensitive enough to the details of the ...
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Polynomial-Time Algorithms for Prime Factorization and Discrete

... 2n − 1 complex numbers. To be more precise, the state of the quantum system is a point in a 2n -dimensional vector space. For each of the 2n possible classical positions of the components, there is a basis state of this vector space that we represent, for example, by |011 · · · 0i, meaning that the ...
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... Appendix: The Airy function and an application in quantum mechanics The Airy function may not be familiar to some readers; here, I give a brief introduction to it and illustrate the gsl package in use in a physical context. The standard reference is Vallée and Soares (2004). For real argument x, th ...
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Electric dipoles at ultralow temperatures

... A molecule has many charges in it, and they are distributed in a complex way, as governed by the quantum mechanical state of the molecule. In general there is much more information about the electrostatic properties of the molecule than is contained in its dipole moment. However, at distances far fr ...
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... The birth of quantum mechanics dates back to early 19th century. Classical or Newtonian mechanics failed to explain a number of experiments, for example, blackbody radiation, gas discharge tube and cathode ray. Attempts to explain these experiments led to the discovery of a new concept of physics wh ...
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... are well developed. In contrast, techniques for the analysis of nonlinear systems are less well known, and difficult to apply. However, some knowledge of nonlinear systems is desirable, since all systems tend to become nonlinear with increasing amplitude of oscillation. There are two general classes ...
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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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