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We investigate universal properties of one-dimensional multi-component systems comprised of fermions, bosons, or an arbitrary mixture, with contact interactions and subjected to an external potential. The masses and the coupling strengths…

Quantum Gases · Physics 2017-12-14 Ovidiu I. Patu , Andreas Klumper

We bosonize the low energy excitations of Fermi Liquids in any number of dimensions in the limit of long wavelengths. The bosons are coherent superposition of electron-hole pairs and are related with the displacement of the Fermi Surface in…

Condensed Matter · Physics 2009-10-22 A. H. Castro Neto , Eduardo Fradkin

In this work, an effective fermion model with particular higher order interactions given by: $I_{II} = \sum_n^N g_{2^n} (\bar{\psi}_a \psi_a)^{2^n}$, for finite $N$, is investigated by means of the auxiliary field method by taking into…

High Energy Physics - Phenomenology · Physics 2016-05-30 Fabio L. Braghin

We analyse the momentum distribution of a three-dimensional Fermi gas in the mean-field scaling regime in a trial state that was recently proven to reproduce the Gell-Mann-Brueckner correlation energy for Coulomb potentials. For a class of…

Mathematical Physics · Physics 2025-11-06 Niels Benedikter , Sascha Lill , Diwakar Naidu

We develop an effective field theory to describe the superfluid pairing in strongly interacting fermions with arbitrary short-range attractions, by extending Kaplan's idea of coupling fermions to a fictitious boson state in Nucl. Phys. B…

Quantum Gases · Physics 2020-01-15 Jianshen Hu , Fan Wu , Lianyi He , Xia-Ji Liu , Hui Hu

We study fermionic and bosonic systems coupled to a real or synthetic static gauge field that is quantized, so the field itself is a quantum degree of freedom and can exist in coherent superposition. A natural example is electrons on a…

Mesoscale and Nanoscale Physics · Physics 2025-10-21 Adel Ali , Alexey Belyanin

Using an ultracold gas of atoms, we have realized a quasi-two-dimensional Fermi system with widely tunable s-wave interactions nearly in a ground state. Pressure and density are measured. The experiment covers physically different regimes:…

Quantum Gases · Physics 2014-03-26 Vasiliy Makhalov , Kirill Martiyanov , Andrey Turlapov

In this work we study the particle conductance of a strongly interacting Fermi gas through a quantum point contact. With an atom-molecule two-channel model, we compute the contribution to particle conductance by both the fermionic atoms and…

Quantum Gases · Physics 2017-02-08 Boyang Liu , Hui Zhai , Shizhong Zhang

The canonical thermodynamic properties of a one-dimensional system of interacting spin-1/2 fermions with an attractive zero-range pseudo-potential are investigated within an exact approach. The density operator is evaluated as the…

Statistical Mechanics · Physics 2009-11-10 Olivier Juillet , Francesca Gulminelli , Philippe Chomaz

We consider interacting spinless fermions in one dimension embedded in self-similar quasiperiodic potentials. We examine generalizations of the Fibonacci potential known as precious mean potentials. Using a bosonization technique and a…

Strongly Correlated Electrons · Physics 2009-01-24 J. Vidal , D. Mouhanna , T. Giamarchi

Using a combination of results from exact mappings and from mean-field theory we explore the phase diagram of quasi-one-dimensional systems of identical fermions with attractive dipolar interactions. We demonstrate that at low density these…

Quantum Gases · Physics 2013-09-12 F. Deuretzbacher , G. M. Bruun , C. J. Pethick , M. Jona-Lasinio , S. M. Reimann , L. Santos

We experimentally investigate the first-order correlation function of a trapped Fermi gas in the two-dimensional BEC-BCS crossover. We observe a transition to a low-temperature superfluid phase with algebraically decaying correlations. We…

Quantum Gases · Physics 2015-07-03 P. A. Murthy , I. Boettcher , L. Bayha , M. Holzmann , D. Kedar , M. Neidig , M. G. Ries , A. N. Wenz , G. Zürn , S. Jochim

We study the emergence of bosonic pairs in a system of two coupled one-dimensional fermionic chains subject to a gauge flux (two-leg flux ladder), with both attractive and repulsive interaction. In the presence of strong attractive…

Strongly Correlated Electrons · Physics 2020-01-01 Marcello Calvanese Strinati , Richard Berkovits , Efrat Shimshoni

Inspired by the renewed experimental activities on $p$-wave resonantly interacting atomic Fermi gases, we theoretically investigate some experimental observables of such systems at zero temperature in two dimensions, using both mean-field…

Quantum Gases · Physics 2019-08-21 Hui Hu , Xia-Ji Liu

In recent years it has been shown how approximate bosonization can be used to justify the random phase approximation for the correlation energy of interacting fermions in a mean-field scaling limit. At the core is the interpretation of…

Mathematical Physics · Physics 2026-05-08 Niels Benedikter

We numerically study imbalanced two component Fermi gases with attractive interactions in highly elongated harmonic traps. An accurate parametrization formula for the ground state energy is presented for a spin-polarized attractive…

Strongly Correlated Electrons · Physics 2008-03-20 Gao Xianlong , Reza Asgari

We introduce a new paradigm for finite and infinite strict-one-dimensional uniform electron gases. In this model, $n$ electrons are confined to a ring and interact via a bare Coulomb operator. In the high-density limit (small-$r_s$, where…

Strongly Correlated Electrons · Physics 2012-08-15 Pierre-François Loos , Peter M. W. Gill

In high energy and condensed matter physics, particle exchange plays an essential role in the understanding of long-range interactions. For example, the exchange of massive bosons leads to the Yukawa potential. Phonon exchange between…

Quantum Gases · Physics 2019-04-05 B. J. DeSalvo , Krutik Patel , Geyue Cai , Cheng Chin

We address the problem of the bosonization of finite fermionic systems with two different approaches. First we work in the path integral formalism, showing how a truly bosonic effective action can be derived from a generic fermionic one…

Nuclear Theory · Physics 2007-05-23 Maria B. Barbaro , Maria R. Quaglia

For the BCS theory of superconductivity, the electron-phonon interaction is transformed to an attractive electron-electron interaction in the vicinity of the Fermi energy only. At the same time, its formal derivation using a unitary…

Superconductivity · Physics 2026-03-25 Joshua Althüser , Ilya M. Eremin , Götz S. Uhrig