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We consider a mixture of two-component Fermi gases at low temperature. The density profile of this degenerate Fermi gas is calculated under the semiclassical approximation. The results show that the fermion-fermion interactions make a large…

Quantum Physics · Physics 2009-11-10 X. X. Yi , H. J. Wang , H. T. Cui , C. M. Zhang

We consider a system of one-dimensional non-interacting fermions in external harmonic confinement. Using an efficient Green's function method we evaluate the exact profiles and the pair correlation function, showing a direct signature of…

Statistical Mechanics · Physics 2009-11-07 Patrizia Vignolo , Anna Minguzzi

We have used a microfabricated atom chip to split a single Bose-Einstein condensate of sodium atoms into two spatially separated condensates. Dynamical splitting was achieved by deforming the trap along the tightly confining direction into…

Other Condensed Matter · Physics 2009-11-11 Y. Shin , C. Sanner , G. -B. Jo , T. A. Pasquini , M. Saba , W. Ketterle , D. E. Pritchard , M. Vengalattore , M. Prentiss

Recent advances in ultra-cold atomic Fermi gases make it possible to achieve a fermionic superfluid with multiple spin components. In this context, any mean-field description is expected to fail, owing to the presence of tightly bound…

Superconductivity · Physics 2009-11-13 Xia-Ji Liu , Hui Hu , Peter D. Drummond

We explore a few-body mixture of two bosonic species confined in quasi-one-dimensional parabolic traps of different length scales. The ground state phase diagrams in the three-dimensional parameter space spanned by the harmonic length scale…

Quantum Gases · Physics 2020-08-12 Maxim Pyzh , Peter Schmelcher

We perform a mean-field study of the binary Bose-Einstein condensate mixtures as a function of the mutual repulsive interaction strength. In the phase segregated regime, we find that there are two distinct phases: the weakly segregated…

Condensed Matter · Physics 2009-10-31 P. Ao , S. T. Chui

We investigate one-dimensional harmonically trapped two-component systems for repulsive interaction strengths ranging from the non-interacting to the strongly interacting regime for Fermi-Fermi mixtures. A new and powerful mapping between…

Quantum Gases · Physics 2017-02-17 F. F. Bellotti , A. S. Dehkharghani , N. T. Zinner

Zero temperature properties of a dilute weakly interacting $d$-dimensional Bose gas in a random potential are studied. We calculate geometrical and energetic characteristics of the localized state of a gas confined in a large box or in a…

Quantum Physics · Physics 2015-05-13 G. M. Falco , T. Nattermann , V. L. Pokrovsky

We consider a mixture of bosons and spin-polarized fermions in two dimensions at zero temperature with a tunable Bose-Fermi attraction. By adopting a diagrammatic T-matrix approach, we analyze the behavior of several thermodynamic…

Quantum Gases · Physics 2025-03-04 Leonardo Pisani , Pietro Bovini , Fabrizio Pavan , Pierbiagio Pieri

We study the expansion of an atomic Fermi gas interacting attractively with a Bose-Einstein condensate. We find that the interspecies interaction affects dramatically both the expansion of the Fermi gas and the spatial distribution of the…

Soft Condensed Matter · Physics 2009-11-10 F. Ferlaino , E. de Mirandes , G. Roati , G. Modugno , M. Inguscio

We study the ground-state properties and quantum dynamics of few-boson mixtures with strong inter-species repulsion in one-dimensional traps. If one species localizes at the center, e.g., due to a very large mass compared to the other…

Quantum Gases · Physics 2010-02-18 Anika C. Pflanzer , Sascha Zöllner , Peter Schmelcher

We present in detail two variants of the lattice Monte Carlo method aimed at tackling systems in external trapping potentials: a uniform-lattice approach with hard-wall boundary conditions, and a non-uniform Gauss-Hermite lattice approach.…

Quantum Gases · Physics 2016-09-20 Casey E. Berger , Joaquín E. Drut , William J. Porter

We investigate the level population statistics and degree of coherence encoded in the single-particle density matrix of harmonically trapped low-dimensional [quasi-one-dimensional (quasi-1D) or quasi-two-dimensional (quasi-2D)] Bose gases…

Quantum Gases · Physics 2010-07-22 Uwe R. Fischer , Philipp Bader

We explore a few-fermion mixture consisting of two components which are repulsively interacting and confined in a one-dimensional harmonic trap. Different scenarios of population imbalance ranging from the completely imbalanced case where…

Quantum Gases · Physics 2015-06-11 Ioannis Brouzos , Peter Schmelcher

We study a few Fermi atoms interacting through attractive contact forces in a one-dimensional trap by means of numerical exact diagonalization. From the combined analysis of energies and wave functions of correlated ground and excited…

Quantum Gases · Physics 2015-04-16 Pino D'Amico , Massimo Rontani

An exactly solvable model of two-component interacting Fermi vapour in two dimension within Thomas Fermi approach has been proposed. We assume a realistic off-diagonal s-wave interaction between fermions in the two hyperfine states. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Sankalpa Ghosh , M. V. N. Murthy , Subhasis Sinha

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

A theory for the coupling constants between spin polarized degenerate fermionic atoms is developed for the case of atoms confined to a quasi one-dimensional harmonic trap. Exploiting the presence of the Fermi edge and the large number of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 F. Gleisberg , W. Wonneberger

We determine the energetically lowest lying states in the BEC-BCS crossover regime of s-wave interacting two-component Fermi gases under harmonic confinement by solving the many-body Schrodinger equation using two distinct approaches.…

Other Condensed Matter · Physics 2009-11-13 J. von Stecher , C. H. Greene , D. Blume

We derive rigorously one- and two-dimensional mean-field equations for cigar- and pancake-shaped Bose-Einstein condensates (BEC) with higher order interactions (HOI). We show how the higher order interaction modifies the contact interaction…

Quantum Gases · Physics 2017-01-10 Xinran Ruan , Yongyong Cai , Weizhu Bao