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Two fermions occupying the same site of a lattice model with strongly repulsive Hubbard-type interaction U form a doublon, a long-living excitation the decay of which is suppressed because of energy conservation. By means of an…

Quantum Gases · Physics 2012-05-16 Felix Hofmann , Michael Potthoff

We have developed a semi-analytical framework formulated in the canonical fermion representation to investigate strongly correlated electron systems. We consider the U=$\infty$ Hubbard model and used the equation of motion method to…

Strongly Correlated Electrons · Physics 2026-03-18 Debanand Sa , Anirban Dutta

The behavior of ultracold atomic gases depends crucially on the two-body scattering properties of these systems. We develop a multichannel scattering theory for atom-atom collisions in quasi-one-dimensional (quasi-1D) geometries such as…

Condensed Matter · Physics 2009-11-10 Brian E. Granger , D. Blume

The present phenomenological study investigates a multi-channel model of high-energy hadron interactions by considering a full parton configurations space and the $U$-matrix unitarisation scheme of the elastic amplitude, comparing it to the…

High Energy Physics - Phenomenology · Physics 2023-05-19 Rami Oueslati

The wavefunction for indistinguishable fermions is anti-symmetric under particle exchange, which directly leads to the Pauli exclusion principle, and hence underlies the structure of atoms and the properties of almost all materials. In the…

We propose a setup to generate non-local spin-EPR pairs via pair collisions in a 2D interacting electron gas, based on constructive two-particle interference in the spin singlet channel at the pi/2 scattering angle. We calculate the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. S. Saraga , B. L. Altshuler , Daniel Loss , R. M. Westervelt

The problem of finding of the ferromagnetic and antiferromagnetic "symmetry broken" solutions of the correlated lattice fermion models beyond the mean-field approximation has been investigated. The calculation of the quasiparticle…

Strongly Correlated Electrons · Physics 2007-05-23 A. L. Kuzemsky

We present a non-perturbative expression for the scattering matrix of $N$ particles interacting inside a quantum dot. Characterizing the dot by its resonances, we find a compact form for the scattering matrix in a real-time representation.…

Mesoscale and Nanoscale Physics · Physics 2008-06-10 A. V. Lebedev , G. B. Lesovik , G. Blatter

We consider the low-energy particle-particle scattering properties in a periodic simple cubic crystal. In particular, we investigate the relation between the two-body scattering length and the energy shift experienced by the lowest-lying…

Quantum Gases · Physics 2016-05-25 Manuel Valiente , Nikolaj Thomas Zinner

We investigate a specific limit of the one-dimensional non-Hermitian Hubbard Hamiltonian with complex interactions. In this framework, fermions with different spin quantum numbers are mapped onto two distinct spin species, resulting in two…

Statistical Mechanics · Physics 2024-12-30 Doru Sticlet , Cătălin Paşcu Moca , Balázs Dóra

We study the two-band model of spinless fermions in which itinerant fermions interact with localized fermions through the two-particle hybridization. In 1D version, the model has exact solution using the Bethe ansatz. It has been shown that…

Strongly Correlated Electrons · Physics 2026-04-24 Igor N. Karnaukhov

We study competing orders of spinless fermions in the triangular-lattice Hubbard model with nearest-neighbor interaction. We calculate the effective, momentum-resolved two-particle vertex in an unbiased way in terms of the functional…

Strongly Correlated Electrons · Physics 2022-10-19 Nico Gneist , Dominik Kiese , Ravn Henkel , Ronny Thomale , Laura Classen , Michael M. Scherer

We present a systematic derivation of effective lattice spin Hamiltonians derived from a rotationally invariant multi-orbital Hubbard model including a term ensuring Hund's rule coupling. The Hamiltonians are derived down-folding the…

Mesoscale and Nanoscale Physics · Physics 2020-01-29 Markus Hoffmann , Stefan Blügel

We investigate two-site electronic correlations within generalized Hubbard model, which incorporates the conventional Hubbard model (parameters: $t$ (hopping between nearest neighbours), $U$ (Coulomb repulsion (attraction)) supplemented by…

Strongly Correlated Electrons · Physics 2007-11-06 M. Matlak , B. Grabiec , S. Krawiec

We propose a scheme for investigating the quantum dynamics of interacting electron models by means of time-dependent variational principle and spin coherent states of space lattice operators. We apply such a scheme to the one-dimensional…

Superconductivity · Physics 2009-10-31 Arianna Montorsi , Vittorio Penna

We investigated the role that the electron-electron interaction plays on the propagating properties of wave packets in a one-dimensional crystal with impurities. We considered two interacting particles with opposite spins in a band, where…

Disordered Systems and Neural Networks · Physics 2007-05-23 P. E. de Brito , E. S. Rodrigues , H. N. Nazareno

We analyse the entanglement generation in a one dimensional scattering process. The two colliding particles have a Gaussian wave function and interact by hard--core repulsion.In our analysis results on the entanglement of two mode Gaussian…

Quantum Physics · Physics 2009-11-13 Frank Schmüser , Dominik Janzing

We describe the formation of charge- and spin-density patterns induced by spin-selective photoexcitations of interacting fermionic systems in the presence of a microstructure. As an example, we consider a one-dimensional Hubbard-like system…

Strongly Correlated Electrons · Physics 2021-04-26 Thomas Köhler , Sebastian Paeckel , Constantin Meyer , Salvatore R. Manmana

We consider an extended Hubbard model of interacting fermions on a lattice. The fermion kinetic energy corresponds to a tight binding Hamiltonian with nearest neighbour (-t) and next nearest neighbour (t') hopping matrix elements. In…

Strongly Correlated Electrons · Physics 2009-10-30 Biplab Chattopadhyay , D. M. Gaitonde

The momentum bands, energy dispersions, and velocities of the charge $c$ fermions and spin-neutral two-spinon $s1$ fermions of a square-lattice quantum liquid referring to the Hubbard model on such a lattice of edge length $L$ in the one-…

Strongly Correlated Electrons · Physics 2015-05-13 J. M. P. Carmelo