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We develop a rigorous treatment of discontinuous stochastic unitary evolution for a system of quantum particles that interacts singularly with quantum "bubbles" at random instants of time. This model of a "cloud chamber" allows to watch and…

Mathematical Physics · Physics 2007-05-23 V. P. Belavkin

We derive the universal collapse law of degree 1 equivariant wave maps (solutions of the sigma-model) from the 2+1 Minkowski space-time,to the 2-sphere. To this end we introduce a nonlinear transformation from original variables to blowup…

Analysis of PDEs · Mathematics 2011-08-01 Yu. N. Ovchinnikov , I. M. Sigal

We interpret the probability rule of the CSL collapse theory to mean that the scalar field which causes collapse is the grvitational curvature scalar with two sources, the expectation value of the mass density and a white noise fluctuating…

Quantum Physics · Physics 2009-10-28 Philip Pearle , Euan Squires

In this volume in honor of GianCarlo Ghirardi, I discuss my involvement with ideas of dynamical collapse of the state vector. 10 problems are introduced, 9 of which were seen following my initial work. 4 of these problems had a resolution…

Quantum Physics · Physics 2007-05-23 Philip Pearle

Non-interferometric experiments have been successfully employed to constrain models of spontaneous wave function collapse, which predict a violation of the quantum superposition principle for large systems. These experiments are grounded on…

Quantum Physics · Physics 2023-06-22 Sandro Donadi , Luca Ferialdi , Angelo Bassi

Prevention of complete and dimensional collapse of representations has recently become a design principle for self-supervised learning (SSL). However, questions remain in our theoretical understanding: When do those collapses occur? What…

Machine Learning · Computer Science 2023-03-14 Liu Ziyin , Ekdeep Singh Lubana , Masahito Ueda , Hidenori Tanaka

A self-similar formalism for the study of the gravitational collapse of molecular gas provides an important theoretical framework from which to explore the dynamics of star formation. Motivated by the presence of elongated and filamentary…

Solar and Stellar Astrophysics · Physics 2015-05-13 Lisa Holden , Kevin Hoppins , Benjamin Baxter , Marco Fatuzzo

Wavefunction collapse is usually seen as a discontinuous violation of the unitary evolution of a quantum system, caused by the observation. Moreover, the collapse appears to be nonlocal in a sense which seems at odds with General…

Quantum Physics · Physics 2016-01-12 Ovidiu Cristinel Stoica

We apply the formalism of quantum measurement theory to the idealized measurement of the position of a particle with an optical interferometer, finding that the backaction of counting entangled photons systematically collapses the…

Quantum Physics · Physics 2016-04-05 Lee E. Harrell

Spontaneous collapse models aim to resolve the measurement problem in quantum mechanics by considering wave-function collapse as a physical process. We analyze how these models affect a decaying flavor-oscillating system whose evolution is…

Quantum Physics · Physics 2020-08-26 Kyrylo Simonov

A container picture is proposed for understanding cluster dynamics where the clusters make nonlocalized motion occupying the lowest orbit of the cluster mean-field potential characterized by the size parameter $``B"$ in the THSR…

I impose the Newtonian criteria of inertial frames on the c.o.m. trajectories of massive objects undergoing spontaneous collapse of their wave function. The corresponding modification of the so far used stochastic Schr\"odinger equation…

Quantum Physics · Physics 2020-10-08 Lajos Diósi

The dynamical behavior of the column that made up binary granular beads is investigated systematically by tracking the displacement of particles in the collapse process. An experimental setup is first devised to control the quasi-static…

Soft Condensed Matter · Physics 2019-03-26 Hongwei Zhu , Yaodong Feng , Danfeng Lu , Yahya Sandali , Bin Li , Gang Sun , Ning Zheng , Qingfan Shi

When a quantum system is macroscopic and becomes entangled with a microscopic one, this entanglement is not immediately total, but gradual and local. A study of this locality is the starting point of the present work and shows unexpected…

Quantum Physics · Physics 2015-06-17 Roland Omnes

We describe an experimental test of whether particle decay causes wave function collapse. The test uses interference between two well separated, but coherent, sources of vector mesons. The short-lived mesons decay before their wave…

Quantum Physics · Physics 2009-11-07 Spencer R. Klein , Joakim Nystrand

An ensemble of inelastically colliding grains driven by a vibrating wall in 2D exhibits density clustering. Working in the limit of nearly elastic collisions and employing granular hydrodynamics, we predict, by a marginal stability…

Soft Condensed Matter · Physics 2007-05-23 Eli Livne , Baruch Meerson , Pavel V. Sasorov

A simple manner to describe the diffusive relaxation of a colloidal fluid adsorbed in a porous medium is to model the porous medium as a set of spherical particles fixed in space at random positions with prescribed statistical structural…

Steady state dynamics of clustering, long range order, and inelastic collapse are experimentally observed in vertically shaken granular monolayers. At large vibration amplitudes, particle correlations show only short range order like…

Soft Condensed Matter · Physics 2009-10-31 J. S. Olafsen , J. S. Urbach

We demonstrate that a dipolar condensate can be prepared into a three-dimensional wavepacket that remains localized when released in free-space. Such self-bound states arise from the interplay of the two-body interactions and quantum…

Quantum Gases · Physics 2016-08-15 D. Baillie , R. M. Wilson , R. N. Bisset , P. B. Blakie

Spiral waves are striking self-organized coherent structures that organize spatio-temporal dynamics in dissipative, spatially extended systems. In this paper, we provide a conceptual approach to various properties of spiral waves. Rather…

Pattern Formation and Solitons · Physics 2021-02-09 Björn Sandstede , Arnd Scheel
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