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A self-consistent field model for a mixture of Bose and Fermi particles is formulated. There is explored in detail the case of a delta-like interaction, for which the thermodynamic functions are obtained, and Bose-Einstein condensation of…

Quantum Gases · Physics 2017-10-31 Yu. M. Poluektov , A. A. Soroka

We show that an ansatz based on independent composite bosons [Phys. Rep. 463, 215 (2008)] accurately describes the condensate fraction of molecular Bose-Einstein condensates in ultracold Fermi gases. The entanglement between the fermionic…

Quantum Gases · Physics 2017-02-22 P. Alexander Bouvrie , Malte C. Tichy , Itzhak Roditi

We investigate the properties of a strongly interacting imbalanced mixture of bosonic $^{41}$K impurities immersed in a Fermi sea of ultracold $^6$Li atoms. This enables us to explore the Fermi polaron scenario for large impurity…

Many-body properties of a fermionic impurity embedded in a Bose-Einstein condensate are analyzed analytically using a solvable model, the harmonic-interaction model for Bose-Fermi mixtures. The one-particle and two-particle densities,…

Quantum Gases · Physics 2024-12-03 Ofir E. Alon , Lorenz S. Cederbaum

By analyzing breathing mode of a Bose-Einstein condensate repulsively interacting with a polarized fermionic cloud, we further the understanding of a Bose-Fermi mixture recently realized by Lous et al. [\textit{Phys. Rev. Lett.}…

We unravel the nonequilibrium dynamics of two fermionic impurities immersed in a one-dimensional bosonic gas following an interspecies interaction quench from weak to strong repulsions. Monitoring the temporal evolution of the…

Quantum Gases · Physics 2019-08-28 S. I. Mistakidis , L. Hilbig , P. Schmelcher

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

We describe recent theoretical and experimental developments on mediated interactions in mixtures of bosonic and fermionic atoms. We discuss how particle-hole excitations of a Fermi sea can induce long-range interactions between heavy…

Quantum Gases · Physics 2025-11-14 Henry Ando , Geyue Cai , Cheng Chin , Tilman Enss

We develop a functional integral formulation for binary Bose-Einstein condensates coupled to polarized fermions. We find that spin-dependent fermion-mediated interactions have dramatic effects on the properties of the binary condensates.…

Quantum Gases · Physics 2020-12-03 Renyuan Liao

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 calculate the spectrum of low-lying collective excitations in a mesoscopic cloud formed by a Bose-Einstein condensate and a spin-polarized Fermi gas as a function of the boson-fermion repulsions. The cloud is under isotropic harmonic…

Condensed Matter · Physics 2016-08-31 P. Capuzzi , A. Minguzzi , M. P. Tosi

This work is inspired by recent experimental observations in ultracold atomic Bose-Fermi mixtures [DeSalvo et al., Nature 568 (2019)]. These experiments reveal the emergence of an attractive fermion-mediated interaction between bosons, as…

Mathematical Physics · Physics 2025-12-05 Esteban Cárdenas , Joseph K. Miller , David Mitrouskas , Nataša Pavlović

In this work, we describe the dynamics of a Bose-Einstein condensate interacting with a degenerate Fermi gas, at zero temperature. First, we analyze the mean-field approximation of the many-body Schr\"odinger dynamics and prove emergence of…

Mathematical Physics · Physics 2025-07-04 Esteban Cárdenas , Joseph K. Miller , Nataša Pavlović

Ultra-cold atom experiments offer the unique opportunity to study mixing of different types of superfluid states. Our interest is in superfluid mixtures comprising particles with different statistics- Bose and Fermi. Such scenarios occur…

Quantum Gases · Physics 2015-03-18 B. Ramachandhran , S. G. Bhongale , H. Pu

Thermodynamically stable low-temperature phases of the Bose-Fermi mixtures composed of bosons and spinless fermions close to four dimensions are considered. In the regime, where the only boson-fermion two-body interaction is present and…

Quantum Gases · Physics 2024-04-01 V. Pastukhov

We analyze the spectral properties of the Goldstino excitation in a Bose-Fermi mixture of cold atoms, whose masses and interaction strengths are tuned so that the hamiltonian is supersymmetric. We consider systems at zero temperature and…

Quantum Gases · Physics 2018-03-20 Jean-Paul Blaizot , Yoshimasa Hidaka , Daisuke Satow

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 develop a diagrammatic perturbation treatment to calculate the zero-temperature equation of state of the dilute gas mixture of a single spin component Bose-Einstein condensate (BEC) and a normal Fermi gas of indistinguishable (single…

Statistical Mechanics · Physics 2009-11-13 D. H. Santamore , Eddy Timmermans

We study the canonical problem of a Fermi gas interacting with a weakly repulsive Bose-Einstein condensate at zero temperature. To explore the quantum phases across the full range of boson-fermion interactions, we construct a versatile…

Quantum Gases · Physics 2026-01-21 Sam Foster , Olivier Bleu , Jesper Levinsen , Meera M. Parish

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
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