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Related papers: Fisher Information and Atomic Structure

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There has been considerable recent interest in the mean-field dynamics of various atom-interferometry schemes designed for precision sensing. In the field of quantum metrology, the standard tools for evaluating metrological sensitivity are…

Quantum Physics · Physics 2016-06-13 Simon A. Haine

In this paper, the dynamics of quantum Fisher information of a qubit interacting with a squeezed thermal environment are studied. The optimal initial state of the qubit, the temperature of the environment, and the interaction time, which…

Quantum Physics · Physics 2021-03-02 Asghar Ullah

Structural heterogeneity of amorphous solids present difficult challenges that stymie the prediction of plastic events, which are intimately connected to their mechanical behavior. Based on a perturbation analysis of the potential energy…

Materials Science · Physics 2021-03-03 Bin Xu , Michael L. Falk , Sylvain Patinet , Pengfei Guan

Relativistic quantum metrology provides a framework within which we can quantify the quality of measurement and estimation procedures while accounting for both quantum and relativistic effects. The chief measure for describing such…

General Relativity and Quantum Cosmology · Physics 2025-06-17 Everett A. Patterson , Robert B. Mann

Correspondences between the Thomson Problem and atomic electron shell-filling patterns are observed as systematic non-uniformities in the distribution of potential energy necessary to change configurations of $N\le 100$ electrons into…

Classical Physics · Physics 2014-03-12 Tim LaFave

The dynamics of the quantum Fisher information of the parameters of the initial atomic state and atomic transition frequency is studied, in the framework of open quantum systems, for a static polarizable two-level atom coupled in the…

Quantum Physics · Physics 2015-10-19 Yao Jin , Hongwei Yu

The scaling properties of various composite information-theoretic measures (Shannon and R\'enyi entropy sums, Fisher and Onicescu information products, Tsallis entropy ratio, Fisher-Shannon product and shape complexity) are studied in…

Chemical Physics · Physics 2015-05-13 R González-Férez , J. S. Dehesa , S. H. Patil , K. D. Sen

Fisher Information is a key notion in the whole field of quantum metrology. It allows for a direct quantification of maximal achievable precision of estimation of parameters encoded in quantum states using the most general quantum…

Quantum Physics · Physics 2023-04-25 Stanislaw Kurdzialek , Rafal Demkowicz-Dobrzanski

Fisher information is a lower bound on the uncertainty in the statistical estimation of classical and quantum mechanical parameters. While some deterministic dynamical systems are not subject to random fluctuations, they do still have a…

Classical Physics · Physics 2023-10-06 Mohamed Sahbani , Swetamber Das , Jason R. Green

The Fisher-Shannon and Cramer-Rao information measures, and the LMC-like or shape complexity (i.e., the disequilibrium times the Shannon entropic power) of hydrogenic stationary states are investigated in both position and momentum spaces.…

Quantum Physics · Physics 2010-11-15 J. S. Dehesa , S. Lopez-Rosa , D. Manzano

The half-line one-dimensional Coulomb potential is possibly the simplest D-dimensional model with physical solutions which has been proved to be successful to describe the behaviour of Rydberg atoms in external fields and the dynamics of…

Mathematical Physics · Physics 2009-09-03 J. J. Omiste , R. J. Yanez , J. S. Dehesa

The plasticity of amorphous solids undergoing shear is characterized by quasi-localized rearrangements of particles. While many models of plasticity exist, the precise relationship between plastic dynamics and the structure of a particle's…

Soft Condensed Matter · Physics 2024-06-12 Jason W. Rocks , Sean A. Ridout , Andrea J. Liu

Nuclear fission is still one of the most complex physical processes we can observe in nature due to the interplay of macroscopic and microscopic nuclear properties that decide the result. An example of this coupling is the presence of…

Postselected weak measurement has shown significant potential for detecting small physical effects due to its unique weak-value-amplification phenomenon. Previous works suggest that Heisenberg-limit precision can be attained using only the…

Quantum Physics · Physics 2024-12-09 Zi-Rui Zhong , Xia-Lin Su , Xiang-Ming Hu , Ke-Xuan Chen , Hui-Lin Xu , Yan Zhang , Qing-Lin Wu

The subject of this paper is a mathematical transition from the Fisher information of classical statistics to the matrix formalism of quantum theory. If the monotonicity is the main requirement, then there are several quantum versions…

Quantum Physics · Physics 2017-08-23 Denes Petz , Catalin Ghinea

The unavoidable interaction between a quantum system and the external noisy environment can be mimicked by a sequence of stochastic measurements whose outcomes are neglected. Here we investigate how this stochasticity is reflected in the…

Quantum Physics · Physics 2018-03-30 Matthias M. Müller , Stefano Gherardini , Augusto Smerzi , Filippo Caruso

We consider the quantum Fisher information and spin squeezing in one-axis twisting model with a coherent spin state $|\theta_{0},\phi_{0}\rangle$. We analytically discuss the dependence of the two parameters: spin squeezing parameter…

Quantum Physics · Physics 2014-05-07 Wei Zhong , Jing Liu , Jian Ma , Xiaoguang Wang

Atomic electrons are sensitive to the properties of the nucleus they are bound to, such as nuclear mass, charge distribution, spin, magnetization distribution, or even excited level scheme. These nuclear parameters are reflected in the…

Atomic Physics · Physics 2011-06-17 Adriana Pálffy

Using waves to explore our environment is a widely used paradigm, ranging from seismology to radar technology, and from bio-medical imaging to precision measurements. In all of these fields, the central aim is to gather as much information…

Disordered Systems and Neural Networks · Physics 2024-09-12 Jakob Hüpfl , Felix Russo , Lukas M. Rachbauer , Dorian Bouchet , Junjie Lu , Ulrich Kuhl , Stefan Rotter

Diffraction on the slit can be interpreted in accordance with the Heisenberg uncertainty principle. This elementary example hints at the importance of the information theory for the quantum physics. The role played by one particularly…

Quantum Physics · Physics 2007-05-23 Z. Hradil , J. Rehacek