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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

For mixtures of Bose and Fermi alkali atoms, the Fermion degrees of freedom can be integrated out in their {\bf finite temperature} partition function. The final result can be expanded as a power series in the Boson density. Under…

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

The composite character of two-fermion bosons manifests itself in the interference of many composites as a deviation from the ideal bosonic behavior. A state of many composite bosons can be represented as a superposition of different…

Quantum Physics · Physics 2013-01-03 Malte C. Tichy , Peter Alexander Bouvrie , Klaus Mølmer

The structure of binary mixtures of bosonic and fermionic atoms in an external trapping potential at zero temperature is studied on the basis of a modified Gross-Pitaevskii equation for the bosonic component which self-consistently includes…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Robert Roth

We study the effects of interaction between bosons and fermions in a Bose-Fermi mixtures loaded in an optical lattice. We concentrate on the destruction of a bosonic Mott phase driven by repulsive interaction between bosons and fermions.…

Statistical Mechanics · Physics 2009-11-13 F. Hebert , F. Haudin , L. Pollet , G. G. Batrouni

We suggest a time-dependent mean-field hydrodynamic model for a binary dipolar boson-fermion mixture to study the stability and collapse of fermions in the $^{164}$Dy-$^{161}$Dy mixture. The condition of stability of the dipolar mixture is…

Quantum Gases · Physics 2015-06-15 S. K. Adhikari

A collapse of the trapped boson- fermion mixture with the attraction between bosons and fermions is investigated in the framework of the effective Hamiltonian for the Bose system. The properties of the $^{87}$Rb and $^{40}$K mixture are…

Statistical Mechanics · Physics 2009-11-11 A. M. Belemuk , S. -T. Chui , V. N. Ryzhov

We show the emergence of a strongly interacting Bose-Fermi mixture from a two-component Fermi mixture with population imbalance. By analyzing in situ density profiles of $^6$Li atoms in the BCS-BEC crossover regime we identify a critical…

Statistical Mechanics · Physics 2009-11-13 Yong-il Shin , André Schirotzek , Christian H. Schunck , Wolfgang Ketterle

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

In this article, we calculate the friction between two counter-flowing bosonic and fermionic super-fluids. In the limit where the boson-boson and boson-fermion interactions can be treated within the mean-field approximation, we show that…

Quantum Gases · Physics 2015-05-21 F. Chevy

We use a time-dependent dynamical hydrodynamic model to study a collapse in a degenerate fermion-fermion mixture (DFFM) of different atoms. Due to a strong Pauli-blocking repulsion among identical spin-polarized fermions at short distances…

Other Condensed Matter · Physics 2007-05-23 Sadhan K. Adhikari

In this paper we consider an ultra-cold mixture of boson and fermion atoms on the basis of quantum hydrodynamics. Small perturbations in such systems are being analyzed. A possibility is shown for soliton solutions of a new type to appear…

Quantum Gases · Physics 2013-08-02 K. V. Zezyulin , P. A. Andreev , L. S. Kuz'menkov

We investigate the mechanical instability toward density collapse and the transition temperature of Bose-Einstein condensation in the weakly coupled boson-fermion many-body mixture of single-component boson and fermion gases, in the case of…

Quantum Gases · Physics 2015-06-23 Kyoko Shirasaki , Eiji Nakano , Hiroyuki Yabu

The boson-fermion model, describing a mixture of itinerant electrons hybridizing with tightly bound electron pairs represented as hard-core bosons, is here generalized with the inclusion of a term describing on-site Coulomb repulsion…

Strongly Correlated Electrons · Physics 2009-11-07 Alfonso Romano

We predict the existence of high frequency modes in the interference pattern of two condensates made of fermionic-atom dimers. These modes, which result from fermion exchanges between condensates, constitute a striking signature of the…

Quantum Gases · Physics 2022-01-11 Shiue-Yuan Shiau , Aurélia Chenu , Monique Combescot

We calculate the spectrum of low-lying collective excitations in a gaseous cloud formed by a Bose-Einstein condensate and a spin-polarized Fermi gas over a range of the boson-fermion coupling strength extending from strongly repulsive to…

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

We examine the effect of boson-fermion interaction in a one-dimensional Bose-Fermi mixture by using the density matrix renormalization group method. We show that the boson superfluidity is enhanced by fermions for a weak boson-fermion…

Quantum Gases · Physics 2021-02-16 Chenrong Liu , Yongzheng Wu , Jie Lou , Yan Chen

Ultracold neutral bosons in a rapidly rotating atomic trap have been predicted to exhibit fractional quantum Hall-like states. We describe how the composite fermion theory, used in the description of the fractional quantum Hall effect for…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 N. Regnault , C. C. Chang , Th. Jolicoeur , J. K. Jain

Repulsive Bose-Einstein condensate, where the short-range interaction is included up to the third order by the interaction radius, demonstrates existence of a bright soliton in a narrow interval of parameters. This soliton is studied here…

Quantum Gases · Physics 2020-03-30 Pavel A. Andreev , K. V. Antipin , Mariya Iv. Trukhanova

We show that one-dimensional binary mixtures of bosons or of a boson and a spin-polarized fermion are Luttinger liquids with the following instabilities: i) For different particle densities, strong attraction between the mixture components…

Soft Condensed Matter · Physics 2007-05-23 M. A. Cazalilla , A. F. Ho
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