Quantum dynamics of a small symmetry breaking measurement device

Donker, Hylke C.; Raedt, Hans De; Katsnelson, M. I.

doi:10.1016/j.aop.2018.07.010

Cited by 7 publications

(2 citation statements)

References 32 publications

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“…A paper on teaching the ensuing insights is in preparation [ 25 ]. A numerical test on a simplified version of the Curie–Weiss model by Donker et al reproduced nearly all of its properties [ 26 ].…”

Section: Introductionmentioning

confidence: 99%

Models for Quantum Measurement of Particles with Higher Spin

Nieuwenhuizen

2022

Entropy

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The Curie–Weiss model for quantum measurement describes the dynamical measurement of a spin-12 by an apparatus consisting of an Ising magnet of many spins 12 coupled to a thermal phonon bath. To measure the z-component s=−l,−l+1,⋯,l of a spin l, a class of models is designed along the same lines, which involve 2l order parameters. As required for unbiased measurement, the Hamiltonian of the magnet, its entropy and the interaction Hamiltonian possess an invariance under the permutation s→s+1 mod 2l+1. The theory is worked out for the spin-1 case, where the thermodynamics is analyzed in detail, and, for spins 32,2,52, the thermodynamics and the invariance are presented.

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Section: Introductionmentioning

confidence: 99%

Models for Quantum Measurement of Particles with Higher Spin

Nieuwenhuizen

2022

Entropy

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“…Another application is for quantum measurement experiments in which symmetry breaking is used to enhance a microscopic signal. The quantum system comprises a system-apparatus-environment and uses the Box-Muller algorithm to generate random numbers with a standard normal distribution ( 19 ). Monte-Carlo simulation has been used to analyse the concentration of dust particles on the surface of a photovoltaic cell, with a dust particle being assumed to be spherical in shape with a radius that depends on the log-normal distribution function implemented by means of the transformation to the normal distribution using the Box-Muller algorithm ( 20 ).…”

Section: Introductionmentioning

confidence: 99%

Reduction of the Cycle Time in the Biopsies Diagnosis Through a Simulation Based on the Box Müller Algorithm

Badilla-Murillo

Vargas-Vargas

Víquez-Acuña

et al. 2022

Front. Public Health

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Anatomic pathology services study disease in hospitals on the basis of macroscopic and microscopic examination of organs and tissues. The focus of this research investigation was on improving clinical biopsy diagnosis times through simulation based on the Box-Muller algorithm to reduce the waiting time in the diagnosis of clinical biopsies. The data were provided by a hospital in San José (Costa Rica). They covered 5 years and showed waiting times for a pathological diagnosis that for some biopsies were close to 120 days. The correlation between the main causes identified and the cycle time in the biopsy diagnostic process was defined. A statistical analysis of the variables most representative of the process and of the waiting times was carried out. It followed the DMAIC structure (Define, Measure, Analyse, Improve, Control) for the continuous improvement of processes. Two of the activities of the process were identified as being the main bottlenecks. Their processing times had a normal distribution, for which reason a Box-Muller algorithm was used to generate the simulation model. The results showed that waiting times for a diagnosis can be reduced to 3 days, for a productive capacity of 8 000 biopsies per annum, optimizing the logistics performance of health care.

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