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In free fermion systems with given symmetry and dimension, the possible topological phases are labeled by elements of only three types of Abelian groups, Z_1, Z_2, or Z. For example non-interacting 1D fermionic superconducting phases with…

Strongly Correlated Electrons · Physics 2012-08-28 Evelyn Tang , Xiao-Gang Wen

We study attractive fermions in an optical lattice superimposed by a trapping potential, such that fermions may form bosonic molecules. We map the model onto nonlinear field equations depending on the Nambu-Gor'kov propagator. The resulting…

Quantum Gases · Physics 2015-03-13 O. Fialko , A. Gammal , K. Ziegler

We study the ground-state properties of a two-component one-dimensional system of a few ultra-cold fermions with attractive interactions. We show that, by ramping up an external potential barrier felt by one of the components, it is…

Quantum Gases · Physics 2021-11-15 Jacek Dobrzyniecki , Giuliano Orso , Tomasz Sowiński

We study universal clusters in quasi-two dimensions (q2D) that consist of a light (L) atom interacting with two or three heavy (H) identical fermions, forming the trimer or tetramer bound state. The axial confinement in q2D is shown to lift…

Quantum Gases · Physics 2024-10-08 Ruijin Liu , Tingting Shi , Matteo Zaccanti , Xiaoling Cui

A nonlinear sigma model is derived for the time development of a Bose-Einstein condensate composed of fermionic atoms. Spontaneous symmetry breaking of a Sp(2) symmetry in a coherent state path integral with anticommuting fields yields…

Statistical Mechanics · Physics 2009-11-11 Bernhard Mieck

We study the stability and single-particle properties of Fermi liquids in spatial dimensions greater than one via bosonization. For smooth non-singular Fermi liquid interactions we obtain Shankar's renormalization- group flows and reproduce…

Condensed Matter · Physics 2009-10-22 A. Houghton , H. -J. Kwon , J. B. Marston

Considering bosonic atoms immersed in a dilute Fermi gas, we theoretically investigate medium-induced bosonic clusters associated with fermion-mediated two- and three-body interactions. Using the variational approach combined with the…

Quantum Gases · Physics 2024-01-25 Yixin Guo , Hiroyuki Tajima

We present a major update on our investigations of SU(2) gauge theory with one Dirac flavor in the adjoint representation on the lattice. In particular we consider larger volumes, as well as four different values of the gauge coupling. We…

High Energy Physics - Lattice · Physics 2022-04-18 Andreas Athenodorou , Ed Bennett , Georg Bergner , Biagio Lucini

We point out that the dynamical fermion mass generation in the 3D compact U(1) lattice gauge theory with charged fermion and scalar fields (chi-U-phi_3 model) may be of relevance for the spinon-holon theory with local gauge symmetry in the…

High Energy Physics - Lattice · Physics 2009-10-31 Jiri Jersak

We derive light-cone cubic interaction vertices involving fermions and bosons of arbitrary spin by demanding closure of the Poincar\'e algebra. We derive the three-point scattering amplitude corresponding to these interaction vertices and…

High Energy Physics - Theory · Physics 2020-02-25 Y. S. Akshay , Sudarshan Ananth

We apply well established finite temperature Quantum Monte Carlo techniques to one dimensional Bose systems with soft and hardcore constraint, as well as to spinless fermion systems. We give clear and robust numerical evidence that, as…

Strongly Correlated Electrons · Physics 2009-11-13 Dariush Heidarian , Sandro Sorella

We show that a Bose-Einstein condensate and a portion of its surrounding thermal cloud can exhibit mutual self-trapping, supported by the attractive particle interactions, and not by the external confinement. This type of dynamics is…

Other Condensed Matter · Physics 2007-05-23 H. Buljan , M. Segev , A. Vardi

Thin films of binary mixtures that interact through isotropic forces and directionally specific "hydrogen bonding" are considered through Monte Carlo simulations. We show, in good agreement with experiment, that the single phase of these…

Soft Condensed Matter · Physics 2009-10-30 Michael Kotelyanskii , Sanat K. Kumar

Although recent theoretical and experimental progress have considerably clarified pairing mechanisms in spin 1/2 fermionic superfluid with equally populated internal states, many open questions remain when the two spin populations are…

Statistical Mechanics · Physics 2016-08-14 Frédéric Chevy

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

Superconductivity and magnetism generally do not coexist. Changing the relative number of up and down spin electrons disrupts the basic mechanism of superconductivity, where atoms of opposite momentum and spin form Cooper pairs. Nearly…

We study the canonical problem of a Fermi gas interacting with a weakly repulsive Bose-Einstein condensate at zero temperature. To explore the quantum phases across the full range of boson-fermion interactions, we construct a versatile…

Quantum Gases · Physics 2026-01-21 Sam Foster , Olivier Bleu , Jesper Levinsen , Meera M. Parish

An imposed chemical potential gradient $A_\uparrow=d\mu_\uparrow/dx$ on a single fermionic species ("spin up") directly produces a gradient in the density $d\rho_\uparrow/dx$ across a lattice. We study here the induced density inhomogeneity…

Quantum Gases · Physics 2017-10-03 G. George Batrouni , Richard T. Scalettar

We study the quantum dynamics of superfluids of bosons hybridized with Cooper pairs near Feshbach resonances and the influence of fermion-boson conversion on Mott states. We derive a set of equations of motion which describe novel low…

Strongly Correlated Electrons · Physics 2009-11-11 Fei Zhou , Congjun Wu

We consider a mixture of spin-1/2 bosons and fermions, where only the bosons are subjected to the spin-orbit coupling induced by Raman beams. The fermions, although not directly coupled to the Raman lasers, acquire an effective spin-orbit…

Atomic Physics · Physics 2019-09-25 Chuanzhou Zhu , Li Chen , Hui Hu , Xia-Ji Liu , Han Pu