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An effective Hamiltonian for the Bose system in the mixture of ultracold atomic clouds of bosons and fermions is obtained by integrating out the Fermi degrees of freedom. An instability of the Bose system is found in the case of attractive…

Statistical Mechanics · Physics 2007-05-23 S. -T. Chui , V. N. Ryzhov , E. E. Tareyeva

We study the collective modes of a confined gaseous cloud of bosons and fermions with mutual attractive interactions at zero temperature. The cloud consists of a Bose-Einstein condensate and a spin-polarized Fermi gas inside a spherical…

Soft Condensed Matter · Physics 2007-05-23 P. Capuzzi , A. Minguzzi , M. P. Tosi

An effective Hamiltonian for the Bose subsystem in the mixture of ultracold atomic clouds of bosons and fermions with mutual attractive interaction is used for investigating collective excitation spectrum. The ground state and mode…

Quantum Gases · Physics 2015-05-19 A. M. Belemuk , V. N. Ryzhov

Recent theoretical and experimental progress on studying one-dimensional systems of bosonic, fermionic, and Bose-Fermi mixtures of a few ultracold atoms confined in traps is reviewed in the broad context of mesoscopic quantum physics. We…

Quantum Gases · Physics 2019-09-11 Tomasz Sowiński , Miguel Ángel García-March

We study the ground state phase diagram of a mixture of bosonic and fermionic cold atoms confined on two- and three-dimensional optical lattices. The coupling between bosonic fluctuations and fermionic atoms can be attractive or repulsive…

Quantum Gases · Physics 2010-05-27 T. P. Polak , T. K. Kopeć

We discuss the ground state and the small-amplitude excitations of a degenerate vapour of fermionic atoms placed in two hyperfine states inside a spherical harmonic trap. An equations-of-motion approach is set up to discuss the hydrodynamic…

Statistical Mechanics · Physics 2009-10-31 M. Amoruso , I. Meccoli , A. Minguzzi , M. P. Tosi

We determine the ground-state energy and Tan's contact of attractively interacting few-fermion systems in a one-dimensional harmonic trap, for a range of couplings and particle numbers. Complementing those results, we show the corresponding…

Quantum Gases · Physics 2015-06-09 C. E. Berger , E. R. Anderson , J. E. Drut

Detailed analysis of the system of four interacting ultra-cold fermions confined in a one-dimensional harmonic trap is performed. The analysis is done in the framework of a simple variational ansatz for the many-body ground state and its…

Quantum Gases · Physics 2017-06-27 Daniel Pęcak , Amin S. Dehkharghani , Nikolaj T. Zinner , Tomasz Sowiński

Using tools from representation theory, we derive expressions for the coincidence rate of partially-distinguishable particles in an interferometry experiment. Our expressions are valid for either bosons or fermions, and for any number of…

Quantum Physics · Physics 2022-05-04 Dylan Spivak , Murphy Yuezhen Niu , Barry C. Sanders , Hubert de Guise

We investigate the transition of a quasi-one-dimensional few-boson system from a weakly correlated to a fragmented and finally a fermionized ground state. Our numerically exact analysis, based on a multi-configurational method, explores the…

Quantum Physics · Physics 2007-05-23 Sascha Zöllner , Hans-Dieter Meyer , Peter Schmelcher

Starting from a set of coupled Boltzmann equations, we investigate the thermalization of a two-species cold atomic gas confined either in a box or in an isotropic harmonic trap. We show that the thermalization times, by contrast to the…

Other Condensed Matter · Physics 2008-09-15 Marco Anderlini , David Guery-Odelin

We evaluate the equilibrium state of a mixture of 7Li and 6Li atoms with repulsive interactions, confined inside a pancake-shaped trap under conditions such that the thickness of the bosonic and fermionic clouds is approaching the values of…

Other Condensed Matter · Physics 2009-11-10 Z. Akdeniz , P. Vignolo , M. P. Tosi

We investigate the properties of a degenerate dilute gas of neutral fermionic particles in a harmonic trap that interact via dipole-dipole forces. We employ the semiclassical Thomas-Fermi method and discuss the Dirac correction to the…

Condensed Matter · Physics 2007-05-23 K. Goral , Berthold-Georg Englert , K. Rzazewski

Within a scaling ansatz formalism plus Thomas-Fermi approximation, we investigate the collective excitations of a harmonically trapped boson-fermion mixture in the collisionless and hydrodynamic limit at low temperature. Both the monopole…

Statistical Mechanics · Physics 2009-11-07 Xia-Ji Liu , Hui Hu

The emergence of a Bose-glass region in a quasi one-dimensional Bose-Einstein-condensed gas in a harmonic trapping potential with an additional delta-correlated disorder potential at zero temperature is studied using three approaches. At…

Quantum Gases · Physics 2016-06-03 Tama Khellil , Antun Balaz , Axel Pelster

A sum rule approach is used to calculate the zero temperature oscillation frequencies of a two component trapped atomic Fermi gas in the BCS-Bose Einstein condensation crossover region. These sum rules are evaluated using a local density…

Other Condensed Matter · Physics 2007-05-23 Theja N. De Silva , Erich J. Mueller

Motivated by recent developments on cold atom traps and high density QCD we consider fermionic systems composed of two particle species with different densities. We argue that a mixed phase composed of normal and superfluid components is…

Condensed Matter · Physics 2014-10-13 Paulo F. Bedaque , Heron Caldas , Gautam Rupak

Following the idea of the density functional approach, we develop a generalized Bogoliubov theory of an interacting Bose gas confined in a one-dimensional harmonic trap, by using a local chemical potential - calculated with the Lieb-Liniger…

Quantum Gases · Physics 2024-08-26 Xiao-Long Chen , Yun Li , Hui Hu

We address ourselves to a class of systems composed of two coupled subsystems without any intra-subsystem interaction: itinerant Fermions and localized Bosons on a lattice. Switching on an interaction between the two subsystems leads to…

Superconductivity · Physics 2009-10-31 T. Domanski , J. Ranninger

We study the properties of dilute bosons immersed in a single component Fermi sea across a broad boson-fermion Feshbach resonance. The stability of the mixture requires that the bare interaction between bosons exceeds a critical value,…

Quantum Gases · Physics 2013-05-29 Zeng-Qiang Yu , Shizhong Zhang , Hui Zhai
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