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Strongly interacting fermions underpin some of the most challenging problems in condensed matter physics, such as high-temperature superconductivity. The low-energy states of these systems encode their essential microscopic properties, yet…

Strongly Correlated Electrons · Physics 2026-05-05 Henning Schlömer , Liyuan Chen , Susanne F. Yelin , Hong-Ye Hu

In the last decade, quantum simulators, and in particular cold atoms in optical lattices, have emerged as a valuable tool to study strongly correlated quantum matter. These experiments are now reaching regimes that are numerically difficult…

Quantum Gases · Physics 2022-01-05 Annabelle Bohrdt , Lukas Homeier , Christian Reinmoser , Eugene Demler , Fabian Grusdt

We study kinetic magnetism for the Fermi-Hubbard models in triangular type lattices, including a zigzag ladder, four- and six-legged triangular cylinders and a full two-dimensional triangular lattice. We focus on the regime of strong…

Strongly Correlated Electrons · Physics 2022-09-13 Ivan Morera , Márton Kanász-Nagy , Tomasz Smolenski , Livio Ciorciaro , Ataç Imamoğlu , Eugene Demler

Given the spectrum of a Hamiltonian, a methodology is developed which employs the Landau-Ginsburg method for characterizing phase transitions in infinite systems to identify phase transition remnants in finite fermion systems. As a first…

Nuclear Theory · Physics 2009-11-11 M. K. G. Kruse , H. G. Miller , A. R. Plastino , A. Plastino , S. Fujita

Ultracold atoms in optical lattice provides a platform to realize the superfluid (SF) state, a quantum order with paired charge-neutral fermions. In this paper, we studied SF state in the twodimensional attractive Hubbard model with pi-flux…

Strongly Correlated Electrons · Physics 2015-06-18 Ya-Jie Wu , Jiang Zhou , Su-Peng Kou

At strong on-site repulsion $ U $, the fermionic Hubbard model realizes an extremely correlated electron system. In this regime, it is natural to derive the low-energy physics with the help of non-canonical operators acting on a projected…

Strongly Correlated Electrons · Physics 2026-04-27 Jonas Arnold , Peter Kopietz , Andreas Rückriegel

We theoretically analyze Fermi-Bose mixtures consisting of light fermions and heavy bosons that are loaded into optical lattices (ignoring the trapping potential). To describe such mixtures, we consider the Fermi-Bose version of the…

Quantum Gases · Physics 2015-05-14 M. Iskin , J. K. Freericks

Recent advancements in quantum computing technology have enabled the study of fermionic systems at finite temperature via quantum simulations. This presents a novel approach to investigating the chiral phase transition in such systems.…

Quantum Physics · Physics 2025-10-30 Jia-Qi Gong , Ji-Chong Yang

In this work we present an extended version of the Friedrichs Model, which includes fermion-boson couplings. The set of fermion bound states is coupled to a boson field with discrete and continuous components. As a result of the coupling…

Nuclear Theory · Physics 2009-11-13 O. Civitarese , M. Gadella

The dynamics and the thermodynamics of particles/spins interacting via long-range forces display several unusual features with respect to systems with short-range interactions. The Hamiltonian Mean Field (HMF) model, a Hamiltonian system of…

Statistical Mechanics · Physics 2016-08-31 Alessandro Pluchino , Vito Latora , Andrea Rapisarda

We study the phase diagram of the zero-temperature, one-dimensional Bose-Fermi-Hubbard model for fixed fermion density in the limit of small fermionic hopping. This model can be regarded as an instance of a disordered Bose-Hubbard model…

Other Condensed Matter · Physics 2009-11-13 A. Mering , M. Fleischhauer

Strongly interacting fermions define the properties of complex matter at all densities, from atomic nuclei to modern solid state materials and neutron stars. Ultracold atomic Fermi gases have emerged as a pristine platform for the study of…

Zombie States are a recently introduced formalism to describe coupled coherent Fermionic states which address the Fermionic sign problem in a computationally tractable manner. Previously it has been shown that Zombie States with fractional…

Computational Physics · Physics 2022-05-18 Oliver A. Bramley , Timothy J. H. Hele , Dmitrii V. Shalashilin

We study a system of $N$ interacting fermions at positive temperature in a confining potential. In the regime where the intensity of the interaction scales as $1/N$ and with an effective semi-classical parameter $\hbar=N^{-1/d}$ where $d$…

Mathematical Physics · Physics 2019-10-02 Mathieu Lewin , Peter S. Madsen , Arnaud Triay

The inherent properties of specific physical systems can be used as metaphors for investigation of the behavior of complex networks. This insight has already been put into practice in previous work, e.g., studying the network evolution in…

Disordered Systems and Neural Networks · Physics 2014-08-15 Marco Alberto Javarone , Giuliano Armano

In this work we propose an artificial neural network functional to the ground-state energy of fermionic interacting particles in homogeneous chains described by the Hubbard model. Our neural network functional was proven to has an excellent…

Computational Physics · Physics 2019-02-18 C. A. Custodio , E. R. Filletti , V. V. França

When two initially thermal many-body systems start interacting strongly, their transient states quickly become non-Gibbsian, even if the systems eventually equilibrate. To see beyond this apparent lack of structure during the transient…

Quantum Physics · Physics 2023-08-15 Karen V. Hovhannisyan , Somayyeh Nemati , Carsten Henkel , Janet Anders

We use non-equilibrium dynamical mean-field theory to demonstrate the existence of a critical interaction in the real-time dynamics of the Hubbard model after an interaction quench. The critical point is characterized by fast thermalization…

Strongly Correlated Electrons · Physics 2009-09-02 Martin Eckstein , Marcus Kollar , Philipp Werner

The Fermi-Hubbard model is a key concept in condensed matter physics and provides crucial insights into electronic and magnetic properties of materials. Yet, the intricate nature of Fermi systems poses a barrier to answer important…

Quantum Gases · Physics 2015-05-19 Tilman Esslinger

Despite the tremendous success of the Standard Model, the arguments for the necessity of an extension are compelling. An attractive option is provided by Two-Higgs-Doublet models, due to their simplicity and them being the low-energy limit…

High Energy Physics - Phenomenology · Physics 2010-12-30 Martin Jung