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We study the ground state energy of a gas of spin $1/2$ fermions with repulsive short-range interactions. We derive an upper bound that agrees, at low density $\rho$, with the Huang-Yang conjecture. The latter captures the first three terms…

Mathematical Physics · Physics 2026-02-24 Emanuela L. Giacomelli , Christian Hainzl , Phan Thành Nam , Robert Seiringer

An understanding of the possible ways in which interactions can produce fundamentally new emergent many-body states is a central problem of condensed matter physics. We ask if a Fermi sea can arise in a system of bosons subject to contact…

Quantum Gases · Physics 2015-07-02 Ying-Hai Wu , Jainendra K. Jain

It was recently found that Coulomb interaction can induce a series of nontrivial spectral and transport properties in a two-dimensional anisotropic Weyl semimetal. Different from graphehe that is basically an ordinary Fermi liquid, the…

Strongly Correlated Electrons · Physics 2016-11-10 Peng-Lu Zhao , Jing-Rong Wang , An-Min Wang , Guo-Zhu Liu

We develop a general theory of fermion liquids in spatial dimensions greater than one. The principal method, bosonization, is applied to the cases of short and long range longitudinal interactions, and to transverse gauge interactions. All…

Condensed Matter · Physics 2016-08-31 H. -J. Kwon , A. Houghton , J. B. Marston

We study a Bose-Fermi mixture within the framework of the mean-field theory, including three possible regimes for the fermionic species: fully polarized, BCS, and unitarity. Starting from the 3D description and using the variational…

Quantum Gases · Physics 2015-06-23 Pablo Díaz , David Laroze , Boris A. Malomed

We extend the path-integral approach to bosonization to the case in which the fermionic interaction is non-local. In particular we obtain a completely bosonized version of a Thirring-like model with currents coupled by general (symmetric)…

High Energy Physics - Theory · Physics 2009-10-28 C. M. Naón , M. C. von Reichenbach , M. L. Trobo

We discuss the BCS-BEC crossover in a degenerate Fermi gas of two hyperfine states interacting close to a Feshbach resonance. This system has quasi-molecular Bosons associated with a Feshbach resonance, and this kinds of coupled…

Soft Condensed Matter · Physics 2016-08-31 Y. Ohashi , A. Griffin

We investigate ground-state and thermal properties of a system of non-relativistic bosons interacting through repulsive, two-body interactions in a self-consistent gaussian mean-field approximation wich consists in writing the variational…

Condensed Matter · Physics 2009-10-28 Paolo Tommasini , A. F. R. de Toledo Piza

Equation of state of uncharged bosonic matter is studied within a field-theoretical approach in the mean-field approximation. Interaction of bosons is described by a scalar field $\sigma$ with a Skyrme-like potential which contains both…

High Energy Physics - Phenomenology · Physics 2024-12-31 Leonid M. Satarov , Igor N. Mishustin , Horst Stoecker

We discuss the average-field approximation for a trapped gas of non-interacting anyons in the quasi-bosonic regime. In the homogeneous case, i.e., for a confinement to a bounded region, we prove that the energy in the regime of large…

Mathematical Physics · Physics 2018-11-20 M. Correggi , D. Lundholm , N. Rougerie

We study the interplay of superfluidity and glassy ordering of hard core bosons with random, frustrating interactions. This is motivated by bosonic systems such as amorphous supersolid, disordered superconductors with preformed pairs, and…

Disordered Systems and Neural Networks · Physics 2013-05-30 Xiaoquan Yu , Markus Mueller

In a recent paper (cond-mat/9703164) a general field-theoretical description of many-fermion systems with short-ranged interactions has been developed. Here we extend this theory to the case of disordered electrons interacting via a Coulomb…

Strongly Correlated Electrons · Physics 2009-10-31 D. Belitz , F. Evers , T. R. Kirkpatrick

Some nearly-symmetric fusion reactions are systematically investigated with the improved quantum molecular dynamics (ImQMD) model. By introducing two-body inelastic scattering in the Fermi constraint procedure, the stability of an…

Nuclear Theory · Physics 2015-11-05 Ning Wang , Kai Zhao , Zhuxia Li

We propose a model intended to qualitatively capture the electron-electron interaction physics of two-dimensional electron gases formed near transition-metal oxide heterojunctions containing $t_{2g}$ electrons with a density much smaller…

Strongly Correlated Electrons · Physics 2016-01-27 John R. Tolsma , Alessandro Principi , Reza Asgari , Marco Polini , Allan H. MacDonald

We analyze the finite-temperature phase diagram of the boson-fermion-Hubbard model with Feshbach converting interaction, using the coherent-state path-integral method. We show that depending on the position of the bosonic band, this type of…

Quantum Gases · Physics 2018-12-13 A. S. Sajna , R. Micnas

We numerically study the dynamical properties of a mixture consisting of a dipolar condensate and a degenerate Fermi gas in a quasi-one-dimensional geometry. In particular, we focus on the system's response to a temporal variation in the…

Quantum Gases · Physics 2025-11-26 Maciej Lewkowicz , Tomasz Karpiuk , Mariusz Gajda , Mirosław Brewczyk

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 consider the photoassociation of a low-density gas of quantum-degenerate trapped fermionic atoms into bosonic molecules in a spherically symmetric harmonic potential. For a dilute system and the photoassociation coupling energy small…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Takahiko Miyakawa , Pierre Meystre

We report on experimental studies on the collective behavior of a strongly interacting Fermi gas with tunable interactions and variable temperature. A scissors mode excitation in an elliptical trap is used to characterize the dynamics of…

Other Condensed Matter · Physics 2009-03-24 M. J. Wright , S. Riedl , A. Altmeyer , C. Kohstall , E. R. Sanchez Guajardo , J. Hecker Denschlag , R. Grimm

We study ultracold superfluid Bose-Fermi mixtures in three dimensions, with stronger confinement along one or two directions, using a non-perturbative beyond-mean-field model for bulk chemical potential valid along the weak-coupling to…

Quantum Gases · Physics 2023-08-29 Pardeep Kaur , Sandeep Gautam , S. K. Adhikari
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