English
Related papers

Related papers: Spatial Correlations in Dynamical Mean Field Theor…

200 papers

A dynamic mean field theory is developed for finite state and action Bayesian reinforcement learning in the large state space limit. In an analogy with statistical physics, the Bellman equation is studied as a disordered dynamical system;…

Machine Learning · Statistics 2023-07-13 George Stamatescu

We provide a detailed multiscale analysis of a system of particles interacting through a dynamical network of links. Starting from a microscopic model, via the mean field limit, we formally derive coupled kinetic equations for the particle…

Analysis of PDEs · Mathematics 2016-07-14 Julien Barré , Pierre Degond , Ewelina Zatorska

Modern extensions of density functional theory such as the density functional theory plus U and the density functional theory plus dynamical mean-field theory require choices, including selection of variable (charge vs spin density) for the…

Strongly Correlated Electrons · Physics 2015-05-04 Hyowon Park , Andrew J. Millis , Chris A. Marianetti

A general approach for the description of correlated hopping in infinite dimensions, which is based on an expansion over electron hopping around the atomic limit, is developed. Such an approach keeps the dynamical mean-field theory local…

Strongly Correlated Electrons · Physics 2010-09-07 A. M. Shvaika

The result of 2-dimensional Gaussian lattice fit to a speckle intensity pattern based on a linear model that includes nearest-neighbor interactions is presented. We also include a Monte Carlo simulation of the same spatial speckle pattern…

Optics · Physics 2012-11-13 John R. Smith , J. J. Llovera-Gonzalez , Stephen P. Smith

In the present note, a summary of selected aspects of time-dependent mean-field theory is first recalled. This approach is optimized to describe one-body degrees of freedom. A special focus is made on how this microscopic theory can be…

Nuclear Theory · Physics 2015-04-08 Denis Lacroix

We apply the dynamical large-$N$ Schwinger boson technique as an impurity solver for the dynamical mean-field theory (DMFT) calculations of the Kondo lattice model. Our approach captures the hybridization physics through the DMFT…

Strongly Correlated Electrons · Physics 2021-12-23 Rulei Han , Danqing Hu , Jiangfan Wang , Yi-feng Yang

When a free Fermi gas on a lattice is subject to the action of a linear potential it does not drift away, as one would naively expect, but it remains spatially localized. Here we revisit this phenomenon, known as Stark localization, within…

Statistical Mechanics · Physics 2023-08-09 Luca Capizzi , Carlo Vanoni , Pasquale Calabrese , Andrea Gambassi

The aim of this review is to provide a concise overview of some of the generic approaches that have been developed to deal with the statistical description of large systems of interacting dissipative 'units'. The latter notion includes,…

Statistical Mechanics · Physics 2017-03-08 Eric Bertin

Nuclear physics is ideal to test and develop techniques to describe the microscopic dynamics of quantum many-body systems. At low energy, nuclear dynamics is described with non-relativistic approaches based on the mean-field approximation…

Nuclear Theory · Physics 2023-02-10 Cedric Simenel

We study the mean-field theory, and the properties of fluctuations, in an out of equilibrium Bose-Fermi system, across the transition to a quantum condensed phase. The system is driven out of equilibrium by coupling to multiple baths, which…

Other Condensed Matter · Physics 2007-09-11 M. H. Szymanska , J. Keeling , P. B. Littlewood

The degrees of freedom of any interacting quantum field theory are entangled in momentum space. Thus, in the vacuum state, the infrared degrees of freedom are described by a density matrix with an entanglement entropy. We derive a relation…

High Energy Physics - Theory · Physics 2013-05-30 Vijay Balasubramanian , Michael B. McDermott , Mark Van Raamsdonk

We consider a two-dimensional model system of Brownian particles in which slow particles are accelerated while fast particles are damped. The motion of the individual particles are described by a Langevin equation with Rayleigh-Helmholtz…

Soft Condensed Matter · Physics 2016-09-12 Anoosheh Yazdi , Matthias Sperl

We derive an action for scalar quantum field theory with cubic interaction in the context of relative locality. Beginning with the generating functional for standard $\varphi^3$--theory and the corresponding Feynman rules we modify them to…

High Energy Physics - Theory · Physics 2013-12-16 Laurent Freidel , Trevor Rempel

The sensitivity of Density Functional Theory plus Dynamical Mean Field Theory calculations to different constructions of the correlated orbitals is investigated via a detailed comparison of results obtained for the quantum material…

Strongly Correlated Electrons · Physics 2021-05-12 Jonathan Karp , Alexander Hampel , Andrew J. Millis

We construct a class of superprocesses by taking the high density limit of a sequence of interacting-branching particle systems. The spatial motion of the superprocess is determined by a system of interacting diffusions, the branching…

Probability · Mathematics 2011-02-19 Donald A. Dawson , Zenghu Li , Hao Wang

We review and complete the existing literature on the kinetic theory of spatially homogeneous systems with long-range interactions taking collective effects into account. The evolution of the system as a whole is described by the…

Statistical Mechanics · Physics 2012-02-20 Pierre-Henri Chavanis

We study the momentum space entanglement between different energy modes of interacting scalar fields propagating in general (D + 1)-dimensional flat space-time. As opposed to some of the recent works [1], we use Lorentz invariant normalized…

High Energy Physics - Theory · Physics 2017-03-29 S. Santhosh Kumar , S. Shankaranarayanan

The paper shows that inhomogeneity of translation properties of condensate leads to the interaction of local order parameter (OP) and its compensating field which is similar to gauge fields in the field theory. Dynamic models were…

Materials Science · Physics 2009-06-12 A. Ya. Braginsky

Recently, dynamical mean field theory calculations have shown that kinks emerge in the real part of the self energy of strongly correlated metals close to the Fermi level. This gives rise to a similar behavior in the quasi-particle…

Strongly Correlated Electrons · Physics 2013-02-13 A. Kainz , A. Toschi , R. Peters , K. Held