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We theoretically investigate the thermodynamic stability of a normal-state Bose-Fermi mixture, with a tunable Bose-Fermi pairing interaction $-U_{\rm BF}<0$ associated with a hetero-nuclear Feshbach resonance, as well as a weak repulsive…

Quantum Gases · Physics 2021-06-30 Koki Manabe , Yoji Ohashi

We consider a resonantly-interacting Bose-Fermi mixture of $^{40}$K and $^{87}$Rb atoms in an optical lattice. We show that by using a red-detuned optical lattice the mixture can be accurately described by a generalized Hubbard model for…

Statistical Mechanics · Physics 2014-10-13 D. B. M. Dickerscheid , D. van Oosten , E. J. Tillema , H. T. C. Stoof

We study theoretically the phase diagram of strongly coupled two-dimensional Bose-Fermi mixtures interacting with attractive short-range potentials as a function of the particle densities. We focus on the limit where the size of the bound…

Quantum Gases · Physics 2023-05-31 Jonas von Milczewski , Félix Rose , Richard Schmidt

The dimensionality of a system profoundly influences its physical behaviour, leading to the emergence of different states of matter in many-body quantum systems. In lower dimensions, fluctuations increase and lead to the suppression of…

We investigate the mechanical stability of Bose-Fermi mixtures at zero temperature in the presence of a tunable Feshbach resonance, which induces a competition between boson condensation and boson-fermion pairing when the boson density is…

Quantum Gases · Physics 2025-08-20 Christian Gualerzi , Leonardo Pisani , Pierbiagio Pieri

We study weakly interacting mixtures of ultracold atoms composed of bosonic and fermionic species in 2D and 1D. When interactions between particles are appropriately tuned, self-bound quantum liquids can be formed. We show that while…

A grand-canonical system of interacting bosons is considered to study phase transitions of ultracold atoms in an optical lattice. The phase diagram is discussed in terms of a matrix-like order parameter, representing a symmetric phase (Mott…

Statistical Mechanics · Physics 2007-05-23 K. Ziegler

The degenerate Bose-Fermi (BF) mixtures in one dimension present a novel realization of two decoupled Luttinger liquids with bosonic and fermionic degrees of freedom at low temperatures. However, the transport properties of such decoupled…

Quantum Gases · Physics 2020-11-09 Sheng Wang , Xiangguo Yin , Yang-Yang Chen , Yunbo Zhang , Xi-Wen Guan

We calculate the phase diagram of identical fermions in a 2-dimensional (2D) lattice immersed in a 3D Bose-Einstein condensate (BEC). The fermions exchange density fluctuations in the BEC, which gives rise to an attractive induced…

Quantum Gases · Physics 2017-01-09 Jonatan Melkær Midtgaard , Zhigang Wu , G. M. Bruun

A phase diagram for a 2D metal with variable carrier density has been studied using the modulus-phase representation for the order parameter in a fully microscopic treatment. This amounts to splitting the degrees of freedom into neutral…

Superconductivity · Physics 2015-06-25 Valery P. Gusynin , Vadim M. Loktev , Rachel M. Quick , Sergei G. Sharapov

Boson-Fermion mixture confined on an optical lattice is numerically studied. Mott-plateau like behavior is observed under certain conditions in the density profile of the bosons and fermions as one sees in bosonic atoms in a trap potential.…

Quantum Physics · Physics 2008-05-21 Akiko Masaki , Sota Tsukada , Hiroyuki Mori

We study the dilute fermion gas with pairing between two species and unequal concentrations in a harmonic trap using the mean field theory and the local density approximation. We found that the system can exhibit a superfluid shell…

Superconductivity · Physics 2007-11-27 C. -H. Pao , shin-Tza Wu , S. -K. Yip

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 consider the mass-imbalanced sensibility for the emergence of vortex patterns in the Bose-Einstein condensed binary mixture of rubidium-cesium ($^{85}$Rb-$^{133}$Cs), confined in quasi-two-dimensional harmonic traps, with one species…

Quantum Gases · Physics 2020-06-24 R. Kishor Kumar , A. Gammal , Lauro Tomio

We study the quantum phase transitions in a two component bose-mixture in a one-dimensional optical lattice. The calculations have been performed in the framework of the extended Bose-Hubbard model using the finite size density matrix…

Statistical Mechanics · Physics 2009-11-13 Tapan Mishra , B. K. Sahoo , Ramesh V. Pai

Quantum gas mixtures offer a wide field of research, ranging from few-body physics of impurities to many-body physics with emergent long-range interactions and ultracold molecular gases. Achieving precision control of mixtures is much…

Quantum Gases · Physics 2025-11-24 Alexandre De Martino , Florian Kiesel , Jonas Auch , Kirill Karpov , Christian Gross

We analyze in detail recent experiments on ultracold dilute 87Rb-40K mixtures in Hamburg and in Florence within a mean-field theory. To this end we determine how the stationary bosonic and fermionic density profiles in this mixture depend…

Statistical Mechanics · Physics 2009-11-13 Steffen Roethel , Axel Pelster

The recent experimental realization of Bose-Fermi superfluid mixtures of dilute ultracold atomic gases has opened new perspectives in the study of quantum many-body systems. Depending on the values of the scattering lengths and the amount…

Quantum Gases · Physics 2016-05-12 Marek Tylutki , Alessio Recati , Franco Dalfovo , Sandro Stringari

We report on results of Quantum Monte Carlo simulations for bosons in a two dimensional quasi-periodic optical lattice. We study the ground state phase diagram at unity filling and confirm the existence of three phases: superfluid, Mott…

Disordered Systems and Neural Networks · Physics 2015-04-01 C. Zhang , A. Safavi-Naini , B. Capogrosso-Sansone

Motivated by recent developments in the experimental study of Bose-Fermi mixtures, we investigate ground-state phase diagrams and excitation spectra for Bose-Fermi mixtures in a three-dimensional (3D) optical lattice. The Gutzwiller…

Quantum Gases · Physics 2020-02-19 Rei Hatsuda , Emiko Arahata