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We apply Projected Hartree-Fock theory (PHF) for approximating ground states of Heisenberg spin clusters. Spin-rotational, point-group and complex-conjugation symmetry are variationally restored from a broken-symmetry mean-field reference,…

Strongly Correlated Electrons · Physics 2022-02-09 Shadan Ghassemi Tabrizi , Carlos A. Jiménez-Hoyos

We consider a recent momentum-resolved radio-frequency spectroscopy experiment, in which Fermi liquid properties of a strongly interacting atomic Fermi gas were studied. Here we show that by extending the Brueckner-Goldstone model, we can…

Quantum Gases · Physics 2015-05-07 Elmer V. H. Doggen , Jami J. Kinnunen

We consider the dynamics of a large system of N interacting bosons in the mean-field regime where the interaction is of order 1/N. We prove that the fluctuations around the nonlinear Hartree state are generated by an effective quadratic…

Mathematical Physics · Physics 2015-07-10 Mathieu Lewin , Phan Thành Nam , Benjamin Schlein

We develop theoretical diagnostics for the breakdown of mean-field theory, demonstrate how spatial structure and finite interaction ranges enter the effective description, and show how these scales qualitatively modify the…

Nuclear Theory · Physics 2026-04-22 Pok Man Lo

We develop a method of computing the excited state energies in Integrable Quantum Field Theories (IQFT) in finite geometry, with spatial coordinate compactified on a circle of circumference R. The IQFT ``commuting transfer-matrices''…

High Energy Physics - Theory · Physics 2011-02-11 V. V. Bazhanov , S. L. Lukyanov , A. B. Zamolodchikov

Fokker-Planck equations have been applied in the past to field theory topics such as the stochastic quantization and the stabilization of bottomless action theories. In this paper we give another application of the FP-techniques in a way…

Condensed Matter · Physics 2016-08-15 Fernando Jiménez , Germán Sierra

We examine some excited state energies in the non-unitary integrable quantum field theory obtained from the perturbation of the minimal conformal field theory model $M_{3,5}$ by its operator $\phi_{2,1}$. Using the correspondence of this…

High Energy Physics - Theory · Physics 2011-02-11 R. M. Ellem , V. V. Bazhanov

An analytical solution for the out-of-equilibrium quasi-stationary states of the paradigmatic Hamiltonian Mean Field (HMF) model can be obtained from a maximum entropy principle. The theory has been so far tested with reference to a…

Statistical Mechanics · Physics 2012-04-17 Mallbor Assllani , Duccio Fanelli , Alessio Turchi , Timoteo Carletti , Xavier Leoncini

We apply ab-initio quantum chemical methods to calculate correlation effects on cohesive properties of NiO, thereby extending a recently proposed scheme to transition metal oxides with partially filled $d$-bands. We obtain good agreement…

Materials Science · Physics 2009-10-30 Klaus Doll , Michael Dolg , Peter Fulde , Hermann Stoll

The collective ground-state correlations stemming from low-lying quadrupole excitations are computed microscopically. To that end, the self-consistent mean-field model is employed on the basis of the Skyrme-Hartre-Fock (SHF) functional…

Nuclear Theory · Physics 2008-11-26 P. Klüpfel , J. Erler , P. --G. Reinhard , J. A. Maruhn

We develop a statistical theory of the mean field. It is based on the proposition that the mean field can be obtained as an energy average. Moreover, it is assumed that the matrix elements of the residual interaction are random with the…

Nuclear Theory · Physics 2007-05-23 R. Caracciolo , A. De Pace , H. Feshbach , A. Molinari

This review presents a concise, yet comprehensive discussion on the evolution of theoretical methods employed to determine the ground and excited states of molecules in weak and strong magnetic fields. The weak-field cases have been studied…

Atomic and Molecular Clusters · Physics 2021-05-31 Mihir Date , R. W. A Havenith

Over the past few years, Hamiltonian effective field theory has been successfully applied to studies of nucleon and hyperon excited states. By discretizing the Hamiltonian in a finite volume, one can obtain the energy spectrum and compare…

High Energy Physics - Phenomenology · Physics 2025-12-01 Yu Zhuge , Dan Guo , Zhan-Wei Liu , Derek B. Leinweber , Anthony W. Thomas

We show that short-range correlations have a dramatic impact on the steady-state phase diagram of quantum driven-dissipative systems. This effect, never observed in equilibrium, follows from the fact that ordering in the steady state is of…

Statistical Mechanics · Physics 2016-07-29 Jiasen Jin , Alberto Biella , Oscar Viyuela , Leonardo Mazza , Jonathan Keeling , Rosario Fazio , Davide Rossini

The symmetry-projected Hartree--Fock ansatz for the electronic structure problem can efficiently account for static correlation in molecules, yet it is often unable to describe dynamic correlation in a balanced manner. Here, we consider a…

Strongly Correlated Electrons · Physics 2015-06-17 Carlos A. Jiménez-Hoyos , R. Rodríguez-Guzmán , Gustavo E. Scuseria

In this paper and in the companion one we address the problem of identifying the effective theory that describes the statistics of the fluctuations of what is thought to be the relevant order parameter for glassy systems---the overlap field…

Statistical Mechanics · Physics 2018-11-21 G. Biroli , C. Cammarota , G. Tarjus , M. Tarzia

Recently developed neural network-based wave function methods are capable of achieving state-of-the-art results for finding the ground state in real space. In this work, a neural network-based method is used to compute excited states. We…

Computational Physics · Physics 2021-10-04 Yimeng Min

We study properties of two-leg Heisenberg spin ladders in a mean-field approximation using a variety of angular-momentum coupled bases. The mean-field theory proposed by Gopalan, Rice, and Sigrist, which uses a rung basis, assumes that the…

Strongly Correlated Electrons · Physics 2009-02-05 J. Piekarewicz , J. R. Shepard

A quantum field theoretic formulation of the dynamics of the Contact Process on a regular graph of degree z is introduced. A perturbative calculation in powers of 1/z of the effective potential for the density of particles phi(t) and an…

Statistical Mechanics · Physics 2016-08-16 Christophe Deroulers , Rémi Monasson

We provide a review of recently-develop dynamical mean-field theory (DMFT) approaches to the general problem of strongly correlated electronic systems with disorder. We first describe the standard DMFT approach, which is exact in the limit…

Strongly Correlated Electrons · Physics 2023-02-16 E. Miranda , V. Dobrosavljevic