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We have performed realistic atomistic simulations at finite temperatures using Monte Carlo and atomistic spin dynamics simulations incorporating quantum (Bose-Einstein) statistics. The description is much improved at low temperatures…

Materials Science · Physics 2018-01-10 Lars Bergqvist , Anders Bergman

The recently proposed dynamical effective field model (DEFM) is quantitatively accurate for describing dynamical magnetic response of ferrofluids. In paper I it is derived under the framework of dynamical density functional theory, via…

Soft Condensed Matter · Physics 2020-11-17 Angbo Fang

The dynamical mean field theory (DMFT) has become a standard technique for the study of strongly correlated models and materials overcoming some of the limitations of density functional approaches based on local approximations. An important…

Strongly Correlated Electrons · Physics 2015-10-28 K. Hallberg , D. J. García , Pablo S. Cornaglia , Jorge I. Facio , Y. Núñez-Fernández

We apply the recently developed thermal form factor expansion method to evaluate the real-time longitudinal spin-spin correlation functions of the spin-$\frac{1}{2}$ XXZ chain in the antiferromagnetically ordered regime at temperature…

Statistical Mechanics · Physics 2021-05-26 Constantin Babenko , Frank Göhmann , Karol K. Kozlowski , Jesko Sirker , Junji Suzuki

We propose a method to probe the thermal properties of quantum field theory (QFT) in an inflationary universe simulated by spin systems. Our previous work (arXiv:2410.07587) has demonstrated that QFT of Majorana fermions in an arbitrary…

High Energy Physics - Theory · Physics 2025-05-08 Shunichiro Kinoshita , Keiju Murata , Daisuke Yamamoto , Ryosuke Yoshii

Dynamical Mean Field Theory (DMFT) provides an asymptotic description of the dynamics of macroscopic observables in certain disordered systems. Originally pioneered in the context of spin glasses by Sompolinsky and Zippelius (1982), it has…

Disordered Systems and Neural Networks · Physics 2026-03-17 Yatin Dandi , David Gamarnik , Francisco Pernice , Lenka Zdeborová

The dynamical mean field theory (DMFT), which is successful in the study of strongly correlated fermions, was recently extended to boson systems [Phys. Rev. B {\textbf 77}, 235106 (2008)]. In this paper, we employ the bosonic DMFT to study…

Quantum Gases · Physics 2015-05-13 Wen-Jun Hu , Ning-Hua Tong

The accurate description of open-shell molecules, in particular of transition metal complexes and clusters, is still an important challenge for quantum chemistry. While density-functional theory (DFT) is widely applied in this area, the…

Chemical Physics · Physics 2012-10-26 Christoph R. Jacob , Markus Reiher

Motivated by a novel cyclic compound $Fe_{10}Gd_{10}$ with record ground state spin in which the arrangement of magnetic ions with $s=\frac{5}{2}$ and $s=\frac{7}{2}$ corresponds to a saw-tooth chain we investigate the thermodynamics of the…

Strongly Correlated Electrons · Physics 2019-03-27 D. V. Dmitriev , V. Ya. Krivnov , J. Richter , J. Schnack

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

We utilise the graphon--a continuous mathematical object which represents the limit of convergent sequences of dense graphs--to formulate a general, continuous description of quantum spin systems in thermal equilibrium when the average…

Statistical Mechanics · Physics 2024-01-17 Amy Searle , Joseph Tindall

We propose real-space renormalized dynamical mean field theory (rr-DMFT) to deal with large clusters in the framework of a cluster extension of the DMFT. In the rr-DMFT, large clusters are decomposed into multiple smaller clusters through a…

Strongly Correlated Electrons · Physics 2016-05-20 Dai Kubota , Shiro Sakai , Masatoshi Imada

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

Dynamic properties of fermionic systems, like contollability, reachability, and simulability, are investigated in a general Lie-theoretical frame for quantum systems theory. Observing the parity superselection rule, we treat the fully…

Quantum Physics · Physics 2014-09-18 Zoltán Zimborás , Robert Zeier , Michael Keyl , T. Schulte-Herbrueggen

Following the removal of axial confinement, the momentum distribution of a Tonks-Girardeau gas approaches that of a system of noninteracting spinless fermions in the initial harmonic trap. This phenomenon, called dynamical fermionization,…

Statistical Mechanics · Physics 2023-06-26 Ovidiu I. Patu

We derive and analyse the equation of motion for the spin degrees of freedom within time-dependent spin-density-functional theory (TD-SDFT). Results are (i) a prescription for obtaining many-body corrections to the single-particle spin…

Materials Science · Physics 2009-11-07 K. Capelle , G. Vignale , B. L. Gyorffy

We use time-dependent spin-density-functional theory to study dynamical magnetic phenomena. First, we recall that the local-spin-density approximation (LSDA) fails to account correctly for magnetic fluctuations in the paramagnetic state of…

Materials Science · Physics 2009-11-07 K. Capelle , B. L. Gyorffy

The relationship between the mean-field approximations in various interacting models of statistical physics and measures of classical and quantum correlations is explored. We present a method that allows us to bound the total amount of…

Quantum Physics · Physics 2009-11-10 Vlatko Vedral

We present results of a theoretical study of a prototypical weak ferromagnet ZrZn$_2$. We use the density-functional theory (DFT)+dynamical mean-field theory (DMFT) method to study the electronic and local magnetic properties. The obtained…

Strongly Correlated Electrons · Physics 2020-08-04 S. L. Skornyakov , V. S. Protsenko , V. I. Anisimov , A. A. Katanin

We developed a systematic non-perturbative method base on Dyson-Schwinger theory and the $\Phi$-derivable theory for Ising model at broken phase. Based on these methods, we obtain critical temperature and spin spin correlation beyond mean…

Statistical Mechanics · Physics 2021-06-10 Feng Liu , Zhenhao Fan , Zhipeng Sun , Dingping Li , Xuzong Chen