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We consider a one-dimensional mean-field-hydrodynamic model of a two-component degenerate Fermi gas in an external trap, each component representing a spin state of the same atom. We demonstrate that the interconversion between them (linear…

Soft Condensed Matter · Physics 2009-11-11 Sadhan K. Adhikari , Boris A. Malomed

We present a theoretical study of the dynamical behavior of a gas made of ultracold fermionic atoms, which during their motions can collide with a much smaller number of thermal bosonic impurities. The atoms are confined inside harmonic…

Other Condensed Matter · Physics 2007-05-23 P. Capuzzi , P. Vignolo , F. Toschi , S. Succi , M. P. Tosi

We perform a theoretical study of a fermionic gas with two hyperfine states confined to an optical lattice. We derive a generic state diagram as a function of interaction strength, particle number, and confining potential. We discuss the…

Strongly Correlated Electrons · Physics 2009-11-13 L. De Leo , C. Kollath , A. Georges , M. Ferrero , O. Parcollet

We study a mixture of ultracold spin-half fermionic and spin-one bosonic atoms in a shallow optical lattice where the bosons are coupled to the fermions via both density-density and spin-spin interactions. We consider the parameter regime…

Strongly Correlated Electrons · Physics 2013-10-29 S. Modak , S. -W. Tsai , K. Sengupta

Pairing lies at the heart of superfluidity in fermionic systems. Motivated by recent experiments in mesoscopic Fermi gases, we study up to six fermionic atoms with equal masses and equal populations in two different spin states, confined in…

Quantum Gases · Physics 2024-12-20 Emma K. Laird , Brendan C. Mulkerin , Jia Wang , Matthew J. Davis

We present a theoretical study of the collective excitations of a trapped imbalanced fermion gas at unitarity, when the system consists of a superfluid core and a normal outer shell. We formulate the relevant boundary conditions and treat…

Other Condensed Matter · Physics 2008-04-08 Achilleas Lazarides , Bert Van Schaeybroeck

It is shown that a Bose-Fermi mixture of a degenerate gas of spin-polarized fermions, whose number significantly exceeds the number of bosons, embedded in a strongly anisotropic trap, is described by the one-dimensional coupled nonlinear…

Other Condensed Matter · Physics 2009-11-11 J. Santhanam , V. M. Kenkre , V. V. Konotop

We consider a trapped atomic system in the presence of spatially varying laser fields. The laser-atom interaction generates a pseudospin degree of freedom (referred to simply as spin) and leads to an effective spin-orbit coupling for the…

Other Condensed Matter · Physics 2007-12-18 Tudor D. Stanescu , Chuanwei Zhang , Victor Galitski

A Bose-Einstein condensate of atoms, trapped in an axially symmetric harmonic potential, is considered. By averaging the spatial density along the symmetry direction over a length that preserves the aspect ratio, the system may be mapped on…

Condensed Matter · Physics 2007-05-23 R. K. Bhaduri , M. V. N. Murthy

We consider a mixture of single-component bosonic and fermionic atoms in an array of coupled one-dimensional "tubes". For an attractive Bose-Fermi interaction, we show that the system exhibits phase separation instead of the usual collapse.…

Other Condensed Matter · Physics 2009-09-05 F. M. Marchetti , Th. Jolicoeur , M. M. Parish

A single-component Fermi gas of polarized dipolar particles in a harmonic trap can undergo a mechanical collapse due to the attractive part of the dipole-dipole interaction. This phenomenon can be conveniently manipulated by the shape of…

Condensed Matter · Physics 2007-05-23 K. Goral , M. Brewczyk , K. Rzazewski

A unitary Fermi gas in an isotropic harmonic trap is predicted to show scale and conformal symmetry that have important consequences in its thermodynamic and dynamical properties. By experimentally realizing a unitary Fermi gas in an…

Quantum Gases · Physics 2024-06-21 Lu Wang , Xiangchuan Yan , Jing Min , Dali Sun , Xin Xie , Shi-Guo Peng , Mingsheng Zhan , Kaijun Jiang

We discuss the theory of mixtures of Bosonic and Fermionic atoms in periodic potentials at zero temperature. We derive a general Bose--Fermi Hubbard Hamiltonian in a one--dimensional optical lattice with a superimposed harmonic trapping…

Condensed Matter · Physics 2007-05-23 Alexander Albus , Fabrizio Illuminati , Jens Eisert

A mixture of ultracold bosons and fermions placed in an optical lattice constitutes a novel kind of quantum gas, and leads to phenomena, which so far have been discussed neither in atomic physics, nor in condensed matter physics. We discuss…

Other Condensed Matter · Physics 2009-11-10 M. Lewenstein , L. Santos , M. A. Baranov , H. Fehrmann

We show that dipolar bosons and fermions confined in a quasi-one-dimensional ring trap exhibit a rich variety of states because their interaction is inhomogeneous. For purely repulsive interactions, with increasing strength of the dipolar…

Quantum Gases · Physics 2011-07-21 Sascha Zöllner , G. M. Bruun , C. J. Pethick , S. M. Reimann

We consider N atoms trapped in an isotropic harmonic potential, with s-wave interactions of infinite scattering length. In the zero-range limit, we obtain several exact analytical results: mapping between the trapped problem and the…

Other Condensed Matter · Physics 2016-08-16 Félix Werner , Yvan Castin

The formation of bosonic bound states underlies the formation of a superfluid ground state in the many-body phase diagram of ultracold Fermi gases. We study bound-state formation in a spin- and mass-imbalanced ultracold Fermi gas confined…

Quantum Gases · Physics 2017-10-25 Dietrich Roscher , Jens Braun

We study both experimentally and theoretically the losses induced by parametric excitation in far-off-resonance optical lattices. The atoms confined in a 1D sinusoidal lattice present an excitation spectrum and dynamics substantially…

Atomic Physics · Physics 2009-11-07 R. Jáuregui , N. Poli , G. Roati , G. Modugno

We present an analytical treatment of a single \down atom within a Fermi sea of \up atoms, when the interaction is strong enough to produce a bound state, dressed by the Fermi sea. Our method makes use of a diagrammatic analysis, with the…

Quantum Gases · Physics 2010-01-08 R. Combescot , S. Giraud , X. Leyronas

We study the physics of a rapidly-rotating gas of ultracold atomic bosons, with an internal degree of freedom. We show that in the limit of rapid rotation of the trap the problem exactly maps onto that of non-interacting fermions with spin…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 B. Paredes , P. Zoller , J. I. Cirac