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The two-component mixture of Bose particles with short-range pairwise interaction at finite temperatures in three dimensions is considered. Particularly we examine, by means of the large-$N$ expansion technique, the stability of mixed state…

Quantum Gases · Physics 2020-12-02 Orest Hryhorchak , Volodymyr Pastukhov

Second-order phase transitions have no latent heat and are characterized by a change in symmetry. In addition to the conventional symmetric and anti-symmetric states under permutations of bosons and fermions, mathematical…

Quantum Gases · Physics 2017-05-22 Vladimir A. Yurovsky

We consider a mixture of a single-component Bose gas and a two-component Fermi gas at temperatures where the Bose gas is almost fully condensed. In such a mixture, two fermionic atoms can interact with each other by exchanging a phonon that…

Statistical Mechanics · Physics 2014-10-13 M. J. Bijlsma , B. A. Heringa , H. T. C. Stoof

A four-component Fermi gas in one dimension with a short-range four-body interaction is shown to exhibit a one-dimensional analog of the BCS-BEC crossover. Its low-energy physics is governed by a Tomonaga-Luttinger liquid with three spin…

Quantum Gases · Physics 2010-11-03 Yusuke Nishida , Dam T. Son

We consider a mixture of single-component bosonic and fermionic atoms with an interspecies interaction that is varied using a Feshbach resonance. By performing a mean-field analysis of a two-channel model, which describes both narrow and…

Other Condensed Matter · Physics 2008-10-22 F. M. Marchetti , C. Mathy , M. M. Parish , D. A. Huse

The pairing of fermionic atoms in a mixture of atomic fermion and boson gases at zero temperature is investigated. The attractive interaction between fermions, that can be induced by density fluctuations of the bosonic background, can give…

Quantum Gases · Physics 2015-05-30 F. Matera , A. Dellafiore

We discuss the behavior of weakly bound bosonic dimers formed in a cold Fermi gas at a large positive scattering length $a$ for the interspecies interaction. We find the exact solution for the dimer-dimer elastic scattering and obtain a…

Statistical Mechanics · Physics 2007-05-23 D. S. Petrov , C. Salomon , G. V. Shlyapnikov

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 present a systematic investigation of attractive binary mixtures in presence of both spin- and mass-imbalance in one dimensional setups described by the Hubbard model. After discussing typical cold atomic experimental realizations and…

We consider spherically trapped Bose gases in three dimensions with contact interactions, and investigate whether the Bose-Einstein condensate at zero temperature is stable against macroscopic fragmentation into a small number of mutually…

Quantum Gases · Physics 2013-03-07 Philipp Bader , Uwe R. Fischer

We investigate the quantum phase diagram of Bose-Fermi mixtures of ultracold dipolar particles trapped in one-dimensional optical lattices in the thermodynamic limit. With the presence of nearest-neighbor (N.N.) interactions, a long-ranged…

Quantum Gases · Physics 2010-08-11 Bin Wang , Daw-Wei Wang , S. Das Sarma

We study the properties of the Bose-Fermi mixture from the perspective of reaching a state of a self-bound quantum droplet. The variational analysis shows that the system exhibits bistability. For weak repulsion between bosons, one of the…

Quantum Gases · Physics 2020-10-15 Tomasz Karpiuk , Mariusz Gajda , Mirosław Brewczyk

We discuss the finite-temperature properties of low-dimensional bosons with three-body interactions described by a Feshbach-resonance-like two-channel model. In particular, by using the approximate consideration that collects ring-like…

Quantum Gases · Physics 2026-04-07 V. Polkanov , V. Pastukhov

We investigate a Bose-Fermi mixture in a three-dimensional optical lattice, trapped in a harmonic potential. Using Generalized Dynamical Mean-Field theory, which treats the Bose-Bose and Bose-Fermi interaction in a fully non-perturbative…

Quantum Gases · Physics 2011-04-18 Michiel Snoek , Irakli Titvinidze , Immanuel Bloch , Walter Hofstetter

We investigate the problem of mechanical stability in two-dimensional Bose-Fermi mixtures at zero temperature, focusing on systems with a tunable Bose-Fermi (BF) interaction and a weak but finite boson-boson (BB) repulsion. The analysis is…

Quantum Gases · Physics 2026-02-19 Pietro Cordioli , Leonardo Pisani , Pierbiagio Pieri

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

We study three dimensional Bose and Fermi gases in the upper branch, a phase defined by the absence of bound states in the repulsive interaction regime, within an approximation that considers only two-body interactions. Employing a…

Quantum Gases · Physics 2016-12-14 Andre LeClair , Itzhak Roditi , Joshua Squires

Experimental realizations of a variety of atomic binary Bose-Fermi mixtures have brought opportunities for studying composite quantum systems with different spin-statistics. The binary atomic mixtures can exhibit a structural transition…

Quantum Gases · Physics 2018-03-30 Tom Kim , Chih-Chun Chien

We study 1D fermions with photoassociation or with a narrow Fano-Feshbach resonance described by the Boson-Fermion resonance model. Using thebosonization technique, we derive a low-energy Hamiltonian of the system. We show that at low…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Edmond Orignac , Roberta Citro

Thermodynamics properties of an interacting system of bosons are considered at finite temperatures and zero chemical potential within the Skyrme-like mean-field model. An interplay between attractive and repulsive interactions is…

High Energy Physics - Phenomenology · Physics 2021-05-26 O. S. Stashko , D. V. Anchishkin , O. V. Savchuk , M. I. Gorenstein
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