From quantum to classical: The Quantum state diffusion model
Nicolas Gisin,Todd A. Brun,M. Rigo +2 more
- pp 141-150
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In this article, the quantum-classical cross-over was studied with the regular harmonic oscillator and with a classically chaotic example, and the Schrodinger equations provided qualitative and quantitative descriptions of the quantum crossover.Abstract:
Stochastic Schrodinger equations provide qualitative and quantitative descriptions of the quantum-classical cross-over. We illustrate this with the regular harmonic oscillator and with a classically chaotic example.read more
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Quantum State Diffusion
TL;DR: In this article, the authors introduce the Brownian motion and Ito calculus for quantum localisation, and present a method for quantum state diffusion and quantum foundations to localize quantum systems.
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Expectation values, experimental predictions, events and entropy in quantum gravitationally decohered quantum mechanics
Bernard S. Kay,Varqa Abyaneh +1 more
TL;DR: In this paper, the authors restate Kay's 1998 hypothesis which simultaneously offers an objective definition for the entropy of a closed system, a microscopic foundation for the Second Law, a resolution of the Information Loss (and other) Black-Hole Puzzle(s) and an objective mechanism for decoherence.
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Unravelling cosmological perturbations
TL;DR: In this article, the authors explain the quantum-to-classical transition for cosmological perturbations using only the standard rules of quantum mechanics: the Schrodinger equation and Born's rule applied to a subsystem.
References
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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
TL;DR: In this article, the authors introduce differential equations and dynamical systems, including hyperbolic sets, Sympolic Dynamics, and Strange Attractors, and global bifurcations.
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Chaos in classical and quantum mechanics
TL;DR: In this article, the three-body problem: Moon-Earth-Sun, Three Methods of Section, Periodic Orbits, and Surface of Solution is considered, as well as the Diamagnetic Kepler Problem.
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Unified dynamics for microscopic and macroscopic systems
TL;DR: A modified quantum dynamics for the description of macroscopic objects is constructed and it is shown that it forbids the occurrence of linear superpositions of states localized in far-away spatial regions and induces an evolution agreeing with classical mechanics.
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Decoherence and the transition from quantum to classical
TL;DR: In this paper, the authors argue that without quantum physics we could not explain the behavior of solids, the structure and function of DNA, the color of the stars, the action of lasers or the properties of superfluids.