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Because quantum measurements have probabilistic outcomes they can seem to violate conservation laws in individual experiments. Despite these appearances, strict conservation of momentum, orbital angular momentum, and energy can be shown to…

Quantum Physics · Physics 2020-04-17 Edward J. Gillis

We investigate the transition from quantum to classical mechanics using a one-dimensional free particle model. In the classical analysis, we consider the initial positions and velocities of the particle drawn from Gaussian distributions.…

Quantum Physics · Physics 2024-05-30 E. Aldo Arroyo

A quantum many-body model is presented with features similar to those of certain particle detectors. The energy spectrum contains a single metastable 'ready'-state and macroscopically-distinct 'pointer' states. Measurements do not pose…

Quantum Physics · Physics 2007-05-23 R. Merlin

We study the emission of space-time waves produced by back-reaction effects during a collapse of a spherically symmetric universe with a time dependent cosmological parameter, which is driven by a scalar field. As in a previous work the…

General Relativity and Quantum Cosmology · Physics 2019-12-11 Jaime Mendoza Hernández , Mauricio Bellini , Claudia Moreno

Starting from an idea of S.L. Adler~\cite{Adler2015}, we develop a novel model of gravity-induced spontaneous wave-function collapse. The collapse is driven by complex stochastic fluctuations of the spacetime metric. After deriving the…

Quantum Physics · Physics 2017-11-16 Giulio Gasbarri , Marko Toroš , Sandro Donadi , Angelo Bassi

We show that inelastic scattering leads to a collapse of the wave function within standard evolution through the Schroedinger equation, whereas elastic scattering will not collapse the wave function. Specifically, we find that the initial…

General Physics · Physics 2024-03-04 Rainer Dick

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

Carrying out a research program outlined by John S. Bell in 1987, we arrive at a relativistic version of the Ghirardi-Rimini-Weber (GRW) model of spontaneous wavefunction collapse. The GRW model was proposed as a solution of the measurement…

Quantum Physics · Physics 2007-05-23 Roderich Tumulka

A quantum theory for the Markovian dynamics of an open system under the unsharp observation which is continuous in time, is developed within the CCR stochastic approach. A stochastic classical equation for the posterior evolution of quantum…

Mathematical Physics · Physics 2009-11-11 V. P. Belavkin

Models of spontaneous wave function collapse modify the linear Schr\"{o}dinger equation of standard Quantum Mechanics by adding stochastic non-linear terms to it. The aim of such models is to describe the quantum (linear) nature of…

Cosmology and Nongalactic Astrophysics · Physics 2012-09-14 Kinjalk Lochan , Suratna Das , Angelo Bassi

The statistical tools needed to obtain a mass function from realistic collapse time estimates are presented. Collapse dynamics has been dealt with in paper I of this series by means of the powerful Lagrangian perturbation theory and the…

Astrophysics · Physics 2015-06-24 Pierluigi Monaco

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

Spontaneous collapse models, which are phenomenological mechanisms introduced and designed to account for dynamical wavepacket reduction, are attracting a growing interest from the community interested in the characterisation of the…

Quantum Physics · Physics 2025-05-15 Giorgio Zicari , Matteo Carlesso , Andrea Trombettoni , Mauro Paternostro

We investigate a model describing the dynamics of a gas of self-gravitating Brownian particles. This model can also have applications for the chemotaxis of bacterial populations. We focus here on the collapse phase obtained at sufficiently…

Statistical Mechanics · Physics 2007-05-23 C. Sire , P. H. Chavanis

We present and discuss a master equation blueprint for a generic class of quantum measurement feedback based models of friction. A desired velocity-dependent friction force is realized on average by random repeated applications of unsharp…

Quantum Physics · Physics 2023-04-13 Michael Gaida , Stefan Nimmrichter

An advection--diffusion-limited dissolution model of an object being eroded by a two-dimensional potential flow is presented. By taking advantage of the conformal invariance of the model, a numerical method is introduced that tracks the…

Fluid Dynamics · Physics 2016-02-17 Chris H. Rycroft , Martin Z. Bazant

Inspired by the notion that environmental noise is in principle observable, whilst fundamental noise due to spontaneous localisation would not be, we study the estimation of the diffusion parameter induced by wave function collapse models…

Quantum Physics · Physics 2016-10-27 Marco G. Genoni , O. S. Duarte , A. Serafini

Collapse models describe the breakdown of the quantum superposition principle when moving from microscopic to macroscopic scales. They are among the possible solutions to the quantum measurement problem and thus describe the emergence of…

Quantum Physics · Physics 2023-03-16 Matteo Carlesso

The problem of measurement in quantum mechanics is that the quantum particle in the course of evolution, as described by the linear Schrodinger equation, exists in all of its possible states, but in measuring, the particle is always…

Quantum Physics · Physics 2013-11-04 Alexey V. Melkikh

Efficacious quantum information processing relies on extended coherence and precise control. Investigating the limitations surrounding quantum processors is vital for their advancement. In their operation, one challenge is inadvertent wave…

Quantum Physics · Physics 2024-05-14 Alfred Li , Herschel A. Rabitz , Benjamin Lienhard
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