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We develop a general framework for studying phases of mixed states with strong and weak symmetries, including non-invertible or categorical symmetries. The central idea is to consider a purification of the mixed state density matrix, which…

Quantum Physics · Physics 2025-07-09 Sakura Schafer-Nameki , Apoorv Tiwari , Alison Warman , Carolyn Zhang

We discuss a generalization of the dynamical mean field theory (DMFT) for strongly correlated systems close to a Mott transition based on a systematic approximation of the fully irreducible four-point vertex. It is an atomic-limit…

Strongly Correlated Electrons · Physics 2016-09-07 Thomas Ayral , Olivier Parcollet

Two of the primary sources of error in the Cluster dynamical mean-field theory (CDMFT) technique arise from the use of finite size clusters and finite size baths, which makes the development of impurity solvers that can treat larger systems…

Strongly Correlated Electrons · Physics 2023-12-12 P. Rosenberg , D. Sénéchal , A. -M. S. Tremblay , M. Charlebois

Static correlation is a difficult problem for density-functional theory (DFT) as it arises in cases of degenerate or quasi-degenerate states where a multideterminantal wave function provides the simplest reasonable first approximation to…

Chemical Physics · Physics 2024-01-01 Abraham Ponra , Carolyne Bakasa , Anne Justine Etindele , Mark E. Casida

We consider the thermodynamic consistency of the charge response function in the (extended) Hubbard model. In DMFT, thermodynamic consistency is preserved. We prove that the static, homogeneous DMFT susceptibility is consistent as long as…

Strongly Correlated Electrons · Physics 2015-08-06 Erik G. C. P. van Loon , Hartmut Hafermann , Alexander I. Lichtenstein , Mikhail I. Katsnelson

In this work, we theoretically examine recent pump/probe photoemission experiments on the strongly correlated charge-density-wave insulator TaS\_2. We describe the general nonequilibrium many-body formulation of time-resolved photoemission…

Strongly Correlated Electrons · Physics 2009-07-09 J. K. Freericks , H. R. Krishnamurthy , Yizhi Ge , A. Y. Liu , Th. Pruschke

We study a matrix product state (MPS) algorithm to approximate excited states of translationally invariant quantum spin systems with periodic boundary conditions. By means of a momentum eigenstate ansatz generalizing the one of \"Ostlund…

Quantum Physics · Physics 2012-02-06 Bogdan Pirvu , Jutho Haegeman , Frank Verstraete

This paper studies the convergence of mean field games with finite state space to mean field games with a continuous state space. We examine a space discretization of a diffusive dynamics, which is reminiscent of the Markov chain…

Optimization and Control · Mathematics 2024-01-18 Charles Bertucci , Alekos Cecchin

Dynamical mean field theory (DMFT) combined with the local density approximation (LDA) is widely used in solids to predict properties of correlated systems. In this paper, its application to one of the simplest strongly correlated systems,…

Strongly Correlated Electrons · Physics 2015-05-18 Juho Lee , Kristjan Haule

Matrix product states (MPS) illustrate the suitability of tensor networks for the description of interacting many-body systems: ground states of gapped $1$-D systems are approximable by MPS as shown by Hastings [J. Stat. Mech. Theor. Exp.,…

Quantum Physics · Physics 2016-09-21 Robert Koenig , Volkher B. Scholz

We study the dynamics of the quenched Anderson model at finite temperature using matrix product states. Exploiting a chain mapping for the electron bath, we investigate the entanglement structure in the MPS for various orderings of the two…

Strongly Correlated Electrons · Physics 2021-07-08 Lucas Kohn , Giuseppe E. Santoro

While Macroscopic Fluctuation Theory (MFT) has been highly successful in analyzing non-equilibrium steady states, its application to non-steady-state processes remains limited. In this study, we apply MFT to the relaxation process of…

Statistical Mechanics · Physics 2026-05-27 Daisuke Suzuki , Tomohiro Sasamoto

Ballistic Macroscopic Fluctuation Theory (BMFT) captures the evolution of fluctuations and correlations in systems where transport is strictly ballistic. We show that, for \emph{generic integrable models}, BMFT can be constructed through a…

Statistical Mechanics · Physics 2025-05-26 Jitendra Kethepalli , Andrew Urilyon , Tridib Sadhu , Jacopo De Nardis

There has been a problem of gauge ambiguities with the Rabi Hamiltonian due to the fact that it can be derived from two formally different but physically equivalent fundamental Hamiltonians. This problem has recently been resolved for…

Quantum Physics · Physics 2023-06-22 Christopher J. Ryu , Dong-Yeop Na , Weng C. Chew

We formulate a quantum embedding algorithm in real-space for the simultaneous theoretical treatment of nonlocal electronic correlations and disorder, the coherent cellular dynamical mean-field theory (C-CDMFT). This algorithm combines the…

Strongly Correlated Electrons · Physics 2026-01-09 Patrick Tscheppe , Marcel Klett , Henri Menke , Sabine Andergassen , Niklas Enderlein , Philipp Hansmann , Thomas Schäfer

Impurity solvers play an essential role in the numerical investigation of strongly correlated electrons systems within the "dynamical mean field" approximation. Recently, a new class of continuous-time solvers has been developed, based on a…

Strongly Correlated Electrons · Physics 2011-11-09 Emanuel Gull , Philipp Werner , Andrew J. Millis , Matthias Troyer

The unphysical solutions of the periodic Anderson model obtained by H. Keiter and T. Leuders [Europhys. Lett. 49, 801(2000)] in dynamical mean-field theory (DMFT) are shown to result from the author's restricted choice of the functional…

Strongly Correlated Electrons · Physics 2009-11-07 Th. Pruschke , W. Metzner , D. Vollhardt

Dynamical mean-field theory (DMFT) is one of the most standard theoretical frameworks for addressing strongly correlated electron systems. Meanwhile, the concept of holography, developed in the field of quantum gravity, provides an…

Strongly Correlated Electrons · Physics 2026-01-29 Kouichi Okunishi , Akihisa Koga

We introduce new and robust decompositions of mean-field Hartree-Fock (HF) and Kohn-Sham density functional theory (KS-DFT) relying on the use of localized molecular orbitals and physically sound charge population protocols. The new…

Chemical Physics · Physics 2020-12-04 Janus J. Eriksen

An efficient numerical method is proposed for computing the Dirichlet-to-Neumann (DtN) map associated with the exterior Dirichlet problem for the two-dimensional Helmholtz equation with an inhomogeneous term. The exterior solution is…

Numerical Analysis · Mathematics 2026-03-17 Takemi Shigeta