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Covariant density functional theory, which has so far been applied only within the framework of static and time dependent mean field theory is extended to include Particle-Vibration Coupling (PVC) in a consistent way. Starting from a…

Nuclear Theory · Physics 2008-11-26 E. Litvinova , P. Ring , V. Tselyaev

Canonical correlation analysis (CCA) is a multivariate statistical method which describes the associations between two sets of variables. The objective is to find linear combinations of the variables in each data set having maximal…

Methodology · Statistics 2015-01-07 Ines Wilms , Christophe Croux

The coherent potential approximation (CPA) within full counting statistics (FCS) formalism is shown to be a suitable method to investigate average electric conductance, shot noise as well as higher order cumulants in disordered systems. We…

Mesoscale and Nanoscale Physics · Physics 2021-02-05 Chao Zhang , Fuming Xu , Jian Wang

Many seemingly intractable systems can be reduced to a system of interacting spins. Here, we introduce a system of artificial acoustic spins which are manipulated with ultrasound excitations associated with micro-cracking sources in thin…

Materials Science · Physics 2016-10-04 H. O. Ghaffari , W. A. Griffith

We propose a new scheme to reconstruct the baryon acoustic oscillations (BAO) signal, which contains key cosmological information, based on deep convolutional neural networks (CNN). Trained with almost no fine-tuning, the network can…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-09 Tian-Xiang Mao , Jie Wang , Baojiu Li , Yan-Chuan Cai , Bridget Falck , Mark Neyrinck , Alex Szalay

The nearest-neighbor quantum-antiferromagnetic (AF) Heisenberg model for spin 1/2 on a two-dimensional square lattice is studied in the auxiliary-fermion representation. Expressing spin operators by canonical fermionic particles requires a…

Strongly Correlated Electrons · Physics 2009-11-10 Jan Brinckmann , Peter Woelfle

The synchronization of two stochastically coupled one-dimensional cellular automata (CA) is analyzed. It is shown that the transition to synchronization is characterized by a dramatic increase of the statistical complexity of the patterns…

Cellular Automata and Lattice Gases · Physics 2007-05-23 Juan R. Sánchez , Ricardo López-Ruiz

We illustrate the use of effective theory techniques to describe processes involving unstable particles close to resonance. First, we present the main ideas in the context of a scalar resonance in an Abelian gauge-Yukawa model. We then…

High Energy Physics - Phenomenology · Physics 2009-11-10 M. Beneke , N. Kauer , A. Signer , G. Zanderighi

A precise time-dependent control of a quantum system relies on an accurate account of the quantum interference among the system, the control and the environment. A diagrammatic technique has been recently developed to precisely calculate…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Ching-Kit Chan , L. J. Sham

Out-of-time-ordered correlation functions (OTOC's) are presently being extensively debated as quantifiers of dynamical chaos in interacting quantum many-body systems. We argue that in quantum spin and fermionic systems, where all local…

Statistical Mechanics · Physics 2017-08-23 Ivan Kukuljan , Sašo Grozdanov , Tomaž Prosen

Hadronic tau decays offer the possibility of determining the strong coupling alpha_s at relatively low energy. Precisely for this reason, however, good control over the perturbative QCD corrections, the non-perturbative condensate…

High Energy Physics - Phenomenology · Physics 2013-02-12 Matthias Jamin

In this paper, we give a rigorous mathematical justification for the relaxation time approximation (RTA) model. We find that only the RTA with an energy-independent relaxation time can be justified in the case of hard interactions.…

High Energy Physics - Phenomenology · Physics 2026-01-28 Jin Hu

Baryon Acoustic Oscillations (BAO) involve measuring the spatial distribution of galaxies to determine the growth rate of cosmic structure. We derive constraints on cosmological parameters from $17$ uncorrelated BAO measurements that were…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-10 David Benisty , Denitsa Staicova

The electron-phonon vertex correction has a complex structure both in momentum and frequency. We explain this structure on the basis of physical considerations and we show how the vertex correction can be decomposed into two terms with…

Superconductivity · Physics 2009-10-31 C. Grimaldi , L. Pietronero , M. Scattoni

Synchronization of coupled oscillators on a $d$-dimensional lattice with the power-law coupling $G(r) = g_0/r^\alpha$ and randomly distributed intrinsic frequency is analyzed. A systematic perturbation theory is developed to calculate the…

Adaptation and Self-Organizing Systems · Physics 2015-05-19 Nariya Uchida

It is well-known that assumptions of monotonicity in size-bias couplings may be used to prove simple, yet powerful, Poisson approximation results. Here we show how these assumptions may be relaxed, establishing explicit Poisson…

Probability · Mathematics 2019-01-30 Fraser Daly , Oliver Johnson

We develop a new approach to study the nonlinear evolution in the large-scale structure of the Universe both in real space and in redshift space, extending the standard perturbation theory of gravitational instability. Infinite series of…

Astrophysics · Physics 2008-11-26 Takahiko Matsubara

Perturbation theory can be reformulated as dynamical theory. Then a sequence of perturbative approximations is bijective to a trajectory of dynamical system with discrete time, called the approximation cascade. Here we concentrate our…

Statistical Mechanics · Physics 2015-06-25 V. I. Yukalov , E. P. Yukalova

Canonical Correlation Analysis (CCA) is a widely used statistical tool with both well established theory and favorable performance for a wide range of machine learning problems. However, computing CCA for huge datasets can be very slow…

Machine Learning · Statistics 2014-12-31 Yichao Lu , Dean P. Foster

We perform a combined perturbation and observational investigation of the scenario of non-minimal derivative coupling between a scalar field and curvature. First we extract the necessary condition that ensures the absence of instabilities,…

Cosmology and Nongalactic Astrophysics · Physics 2013-12-02 James B. Dent , Sourish Dutta , Emmanuel N. Saridakis , Jun-Qing Xia