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An interacting electron liquid in two (2D) and three (3D) dimensions may undergo a paramagnetic-to-ferromagnetic quantum spin polarization transition at zero applied magnetic field, driven entirely by exchange interactions, as the system…

Statistical Mechanics · Physics 2021-09-15 DinhDuy Vu , Sankar Das Sarma

Using the approach of low-energy effective field theory, the phase diagram is studied for a mixture of two species of pseudospin-$\1/2$ Bose atoms with interspecies spin-exchange. There are four mean-field regimes on the parameter plane of…

Quantum Gases · Physics 2013-03-01 Li Ge , Yu Shi

We determine some exact static and time-dependent properties of the fermionic Tonks-Girardeau (FTG) gas, a spin-aligned one-dimensional Fermi gas with infinitely strongly attractive zero-range odd-wave interactions. We show that the…

Superconductivity · Physics 2009-11-11 M. D. Girardeau , A. Minguzzi

We study binary atomic boson-fermion mixtures confined in one dimensional box potentials by few-body theory with contact interactions and mean-field many-body theory with density-density interactions. A variety of correlations and…

Quantum Gases · Physics 2023-02-16 Bishal Parajuli , Daniel Pecak , Chih-Chun Chien

We investigate entanglement dynamics in the antiferromagnetic Heisenberg model in two dimensions following a spatially anisotropic quench of the exchange interactions. Opposed to established results in one dimension, the magnon…

Strongly Correlated Electrons · Physics 2022-03-16 G. Fabiani , J. H. Mentink

The spin structure in a magnetic dot, which is an example of a quantum few-body system, is studied as a function of exchange coupling strength and dot size with in the semiclassical approximation on a discrete lattice. As the exchange…

Other Condensed Matter · Physics 2009-11-11 Mohammad-Reza Mozaffari , Keivan Esfarjani

Spinor ultracold gases in one dimension represent an interesting example of strongly correlated quantum fluids. They have a rich phase diagram and exhibit a variety of quantum phase transitions. We consider a one-dimensional spinor gas of…

Quantum Gases · Physics 2015-05-27 G. V. Shlyapnikov , A. M. Tsvelik

We study one-dimensional strongly interacting Bose-Fermi mixtures by both the exact Bethe-ansatz method and variational perturbation theory within the degenerate ground state subspace of the system in the infinitely repulsive limit. Based…

Quantum Gases · Physics 2016-02-09 Haiping Hu , Liming Guan , Shu Chen

A large class of correlated quantum materials feature strong Hund's coupling. Yet cold-atom quantum simulators have so far focused primarily on single-orbital Fermi-Hubbard systems near a Mott insulator. Here we show that repulsively…

Quantum Gases · Physics 2026-01-29 Haoran Sun , Erhai Zhao , Youjin Deng , W. Vincent Liu

Bosonic atoms confined in optical lattices are described by the Bose-Hubbard model and can exist in two different phases, Mott insulator or superfluid, depending on the strength of the system parameters. In the vicinity of the phase…

Quantum Gases · Physics 2020-07-30 Felipe Taha Sant'Ana

We consider a few number of identical bosons trapped in a 2D isotropic harmonic potential and also the $N$-boson system when it is feasible. The atom-atom interaction is modelled by means of a finite-range Gaussian interaction. The spectral…

Quantum Gases · Physics 2017-10-25 Pere Mujal , Enric Sarlé , Artur Polls , Bruno Juliá-Díaz

The properties of two-component Fermi gases with zero-range interactions are universal. We use an explicitly correlated Gaussian basis set expansion approach to investigate small equal-mass two-component Fermi gases under spherically…

Quantum Gases · Physics 2015-07-09 X. Y. Yin , D. Blume

We find nearly all the exact ground states of a mixture of two species of spin-1 atoms with both interspecies and intraspecies spin exchanges in absence of a magnetic field. The quantum phase diagram in the three-dimensional parameter space…

Quantum Gases · Physics 2011-03-08 Yu Shi , Li Ge

We consider the easy-plane anisotropic spin-1/2 Heisenberg chain in combined uniform longitudinal and transverse staggered magnetic fields. The low-energy limit of his model is described by the sine-Gordon quantum field theory. Using…

Strongly Correlated Electrons · Physics 2009-01-06 Igor Kuzmenko , Fabian H. L. Essler

We use the quasistatic approach to analyze the criterion of ferromagnetism for two-dimensional (2D) systems with the Fermi level near Van Hove singularities (VHS) of the electronic spectrum. It is shown that the spectrum of spin excitations…

Strongly Correlated Electrons · Physics 2012-09-20 P. A. Igoshev , A. A. Katanin , V. Yu. Irkhin

We report on an experimental simulation of the spin-1 Heisenberg model with composite bosons in a one-dimensional chain based on the two-component Bose-Hubbard model. Exploiting our site-and spin-resolved quantum gas microscope, we observed…

A common wisdom about quantum many-body systems is that emergent phases typically fall into either the Landau-Ginzburg paradigm or topological classifications. Experimentally realizing the intertwined emergence of spontaneous symmetry…

Quantum Gases · Physics 2025-07-04 Lei Chen , Bei-Bei Wang , Jianmin Yuan , Long Zhang , Jinsen Han , Yongqiang Li

One-dimensional Bose gases are considered, interacting either through the hard-core potentials or through the contact delta potentials. Interest in these gases gained momentum because of the recent experimental realization of…

Statistical Mechanics · Physics 2015-06-25 V. I. Yukalov , M. D. Girardeau

We study the evolution from few- to many-body physics of fermionic systems in one spatial dimension with attractive pairwise interactions. We determine the detailed form of the momentum distribution, the structure of the one-body density…

Quantum Gases · Physics 2017-10-05 Lukas Rammelmüller , William J. Porter , Jens Braun , Joaquín Drut

We study a one-dimensional system of two-component fermions in the limit of strong attractive particle-particle interactions. First, we analyze scattering in the corresponding few-body problem, which is analytically solvable via Bethe…

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