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Synchronization is the spontaneous alignment of the dynamics of weakly-coupled oscillators. In addition to temporal dynamics like periodic and chaotic oscillations, also the spatio-temporal dynamics of spatially-extended systems like…

Optics · Physics 2026-03-11 Jules Mercadier , Stefan Bittner , Marc Sciamanna

We develop a consistent perturbation theory in quantum fluctuations around the classical evolution of a system of interacting bosons. The zero order approximation gives the classical Gross-Pitaevskii equations. In the next order we recover…

Statistical Mechanics · Physics 2007-05-23 Anatoli Polkovnikov

We predict a possible phonon softening instability in strongly correlated coupled semiconductor bilayer systems. By studying the plasmon-phonon coupling in coupled bilayer structures, we find that the renormalized acoustic phonon frequency…

Strongly Correlated Electrons · Physics 2009-10-31 E. H. Hwang , S. Das Sarma

We assess the Tognetti-Cortona-Adamo (TCA) generalized gradient approximation correlation functional [J. Chem. Phys. 128:034101 (2008)] for a variety of electronic systems. We find that, even if the TCA functional is not exact for the…

Chemical Physics · Physics 2015-10-07 E. Fabiano , L. A. Constantin , A. Terentjevs , F. Della Sala , P. Cortona

We present a direct comparison studying equilibration through kinetic theory at weak coupling and through holography at strong coupling in the same set-up. The set-up starts with a homogeneous thermal state, which then smoothly transitions…

High Energy Physics - Theory · Physics 2016-05-04 Liam Keegan , Aleksi Kurkela , Paul Romatschke , Wilke van der Schee , Yan Zhu

We initiate a holographic study of coupling-dependent heavy ion collisions by analysing for the first time the effects of leading-order, inverse coupling constant corrections. In the dual description, this amounts to colliding gravitational…

High Energy Physics - Theory · Physics 2017-07-20 Sašo Grozdanov , Wilke van der Schee

We apply strong-coupling perturbation theory to the QCD lattice Hamiltonian. We begin with naive, nearest-neighbor fermions and subsequently break the doubling symmetry with next-nearest-neighbor terms. The effective Hamiltonian is that of…

High Energy Physics - Lattice · Physics 2009-11-07 B. Bringoltz , B. Svetitsky

Inspired by the recent BESIII measurement of the decay asymmetry and the phase shift between $S$- and $P$-wave amplitudes in the decay $\Lambda_c^+\to \Xi^0K^+$, we perform a global fit to the experimental data of charmed baryon decays…

High Energy Physics - Phenomenology · Physics 2024-03-05 Huiling Zhong , Fanrong Xu , Hai-Yang Cheng

While the coherent potential approximation (CPA) is the prevalent method for the study of disordered electronic systems, it fails to capture non-local correlations and Anderson localization. To incorporate such effects, we extend the dual…

Strongly Correlated Electrons · Physics 2013-05-08 H. Terletska , S. -X. Yang , Z. Y. Meng , J. Moreno , M. Jarrell

Canonical Correlation Analysis (CCA) is a multivariate technique that takes two datasets and forms the most highly correlated possible pairs of linear combinations between them. Each subsequent pair of linear combinations is orthogonal to…

Methodology · Statistics 2015-12-22 Jacob Coleman , Joseph Replogle , Gabriel Chandler , Johanna Hardin

We use time-sliced perturbation theory (TSPT) to give an accurate description of the infrared non-linear effects affecting the baryonic acoustic oscillations (BAO) present in the distribution of matter at very large scales. In TSPT this can…

Cosmology and Nongalactic Astrophysics · Physics 2016-07-20 Diego Blas , Mathias Garny , Mikhail M. Ivanov , Sergey Sibiryakov

Given two sets of variables, derived from a common set of samples, sparse Canonical Correlation Analysis (CCA) seeks linear combinations of a small number of variables in each set, such that the induced canonical variables are maximally…

Machine Learning · Statistics 2016-05-31 Megasthenis Asteris , Anastasios Kyrillidis , Oluwasanmi Koyejo , Russell Poldrack

An incorporation of higher-order interactions is known to lead an abrupt first-order transition to synchronization in otherwise smooth second-order one for pair-wise coupled systems. Here, we show that adaptation in higher-order coupling…

Adaptation and Self-Organizing Systems · Physics 2023-02-24 Priyanka Rajwani , Ayushi Suman , Sarika Jalan

We recently introduced the dynamical cluster approximation(DCA), a new technique that includes short-ranged dynamical correlations in addition to the local dynamics of the dynamical mean field approximation while preserving causality. The…

Strongly Correlated Electrons · Physics 2009-10-31 M. H. Hettler , M. Mukherjee , M. Jarrell , H. R. Krishnamurthy

It has been recently shown that tachyonic chameleon model of dark energy in which tachyon scalar field non-minimally coupled to the matter admits stable scaling attractor solution that could give rise to the late-time accelerated expansion…

General Relativity and Quantum Cosmology · Physics 2018-03-21 A. Banijamali , S. Bellucci , B. Fazlpour , M. Solbi

The effective theory for baryons with combined 1/Nc and chiral expansions is analyzed for non-strange baryons. Results for baryon masses and axial couplings are obtained in the small scale expansion, to be coined as the \xi-expansion, in…

Nuclear Theory · Physics 2015-06-11 A. Calle Cordon , J. L. Goity

We present a phenomenological reduced-order model to capture the transition to thermoacoustic instability in turbulent combustors. The model is based on the framework of synchronization and considers the acoustic field and the unsteady heat…

Adaptation and Self-Organizing Systems · Physics 2022-06-14 Yue Weng , Vishnu R. Unni , R. I. Sujith , Abhishek Saha

Coupled oscillator networks provide mathematical models for interacting periodic processes. If the coupling is weak, phase reduction -- the reduction of the dynamics onto an invariant torus -- captures the emergence of collective dynamical…

Dynamical Systems · Mathematics 2024-08-06 Christian Bick , Tobias Böhle , Christian Kuehn

In this work, we extend and apply effective field theory techniques to systematically understand a subset of lattice artifacts which pollute the lattice correlation functions for a few processes of physical interest. Where possible, we…

High Energy Physics - Lattice · Physics 2007-05-23 Andre Walker-Loud

Canonical Correlation Analysis (CCA) is a linear representation learning method that seeks maximally correlated variables in multi-view data. Non-linear CCA extends this notion to a broader family of transformations, which are more powerful…

Machine Learning · Computer Science 2020-02-11 Amichai Painsky , Meir Feder , Naftali Tishby