On Fourier time-splitting methods for nonlinear Schrödinger equations in the semi-classical limit II. Analytic regularity
Sign Up to like & getrecommendations! Published in 2017 at "Numerische Mathematik"
DOI: 10.1007/s00211-016-0841-y
Abstract: We consider the time discretization based on Lie-Trotter splitting, for the nonlinear Schrödinger equation, in the semi-classical limit, with initial data under the form of WKB states. We show that both the exact and the… read more here.
Keywords: nonlinear schr; classical limit; time; semi classical ... See more keywords
Simple Explanation of the Classical Limit
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DOI: 10.1007/s10701-019-00310-x
Abstract: The classical limit is fundamental in quantum mechanics. It means that quantum predictions must converge to classical ones as the macroscopic scale is approached. Yet, how and why quantum phenomena vanish at the macroscopic scale… read more here.
Keywords: explanation classical; classical limit; limit; simple explanation ... See more keywords
Surpassing the classical limit in magic square game with distant quantum dots coupled to optical cavities
Sign Up to like & getrecommendations! Published in 2020 at "Scientific Reports"
DOI: 10.1038/s41598-020-79295-x
Abstract: The emergence of quantum technologies is heating up the debate on quantum supremacy, usually focusing on the feasibility of looking good on paper algorithms in realistic settings, due to the vulnerability of quantum systems to… read more here.
Keywords: game; quantum; square game; classical limit ... See more keywords
Dynamical classic limit: Dissipative vs conservative systems.
Sign Up to like & getrecommendations! Published in 2023 at "Chaos"
DOI: 10.1063/5.0126040
Abstract: We analyze the nonlinear dynamics of a quartic semiclassical system able to describe the interaction of matter with a field. We do it in both dissipative and conservative scenarios. In particular, we study the classical… read more here.
Keywords: classic limit; classical limit; limit; dynamical classic ... See more keywords
The semi-classical limit with a delta-prime potential
Sign Up to like & getrecommendations! Published in 2022 at "Reviews in Mathematical Physics"
DOI: 10.1142/s0129055x22500155
Abstract: We consider the quantum evolution [Formula: see text] of a Gaussian coherent state [Formula: see text] localized close to the classical state [Formula: see text], where [Formula: see text] denotes a self-adjoint realization of the… read more here.
Keywords: semi classical; text formula; see text; classical limit ... See more keywords
GHZ States as Tripartite PR Boxes: Classical Limit and Retrocausality
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DOI: 10.3390/e20060478
Abstract: We review an argument that bipartite “PR-box” correlations, though designed to respect relativistic causality, in fact violate relativistic causality in the classical limit. As a test of this argument, we consider Greenberger–Horne–Zeilinger (GHZ) correlations as… read more here.
Keywords: relativistic causality; classical limit; box correlations; retrocausality ... See more keywords