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We investigate the collective excitations of a low temperature dilute gas mixture that consists of a Bose-Einstein condensate and a Fermi-gas that is a normal (i.e. non-superfluid) Fermi-liquid. We find that the BEC-mediated fermion-fermion…

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

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 second sound dipole mode in a partially Bose-Einstein condensed gas. This mode is excited by spatially separating and releasing the center-of-mass of the Bose-Einstein condensate (BEC) with respect to the thermal cloud, after…

Quantum Gases · Physics 2009-09-07 R. Meppelink , S. B. Koller , J. M. Vogels , H. T. C. Stoof , P. van der Straten

The phase structures of the boson-fermion (B and F) mixed condensates of atomic gas are discussed under the existence of boson-fermion composite fermions (quasi-bound states) BF from the equilibrium in B+F -> BF. Especially we discuss the…

Other Condensed Matter · Physics 2009-11-10 H. Yabu , Y. Takayama , T. Suzuki

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 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

Dilute gas Bose-Einstein condensates (BEC's), currently used to cool fermionic atoms in atom traps, can also probe the superfluidity of these fermions. The damping rate of BEC-acoustic excitations (phonon modes), measured in the middle of…

Other Condensed Matter · Physics 2015-06-25 Sergio Gaudio , B. Mihaila , K. B. Blagoev , K. S. Bedell , Eddy Timmermans

We investigate the Bose-Einstein condensation of Fermionic pairs in a uniform two-component Fermi gas obtaining an explicit formula for the condensate density as a function of the chemical potential and the energy gap. We analyze the…

Statistical Mechanics · Physics 2009-11-11 Luca Salasnich , Nicola Manini , Alberto Parola

Bose-Einstein condensate of rarified atomic gases is considered as the state formed by exchange of virtual photons, resonant to the lowest levels of atoms; such representation corresponds to the Einstein opinion about an inter-influence of…

Other Condensed Matter · Physics 2008-04-14 Mark E. Perel'man

We analyze the phase stability and the response of a mixture of bosons and spin-polarized fermions in one dimension (1D). Unlike in 3D, phase separation happens for low fermion densities. The dynamics of the mixture at low energy is…

Soft Condensed Matter · Physics 2009-11-07 Kunal K. Das

We study a gas of fermions undergoing a wide resonance s-wave BCS-BEC crossover, in the BEC regime at zero temperature. We calculate the chemical potential and the speed of sound of this Bose-condensed gas, as well as the condensate…

Superconductivity · Physics 2009-11-11 J. Levinsen , V. Gurarie

We prove rigorously the occurrence of zero-mode Bose-Einstein condensation for a class of continuous homogeneous systems of boson particles with superstable interactions. This is the first example of a translation invariant continuous…

Mathematical Physics · Physics 2007-05-23 J. Lauwers , A. Verbeure , V. A. Zagrebnov

Bose-Einstein condensation (BEC) of Feshbach molecules in a homogeneous Bose gas is studied at finite temperatures in a single-channel mean-field approach where the Hartree-Fock energy and pairing gap are determined self-consistently. In…

Quantum Gases · Physics 2010-02-21 Zeng-Qiang Yu , Lan Yin

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

The dynamical response of a trapped Bose-Einstein condensate (BEC) is formulated consistently with quantum field theory and is numerically evaluated. We regard the BEC as a manifestation of the breaking of the global phase symmetry. Then,…

Other Condensed Matter · Physics 2009-11-11 Makoto Mine , Tomoi Koide , Masahiko Okumura , Yoshiya Yamanaka

Collisionless damping of a condensate of cold Fermi atoms, whose scattering is controlled by a Feshbach resonance, is explored throughout the BCS and BEC regimes when small perturbations on its phase and amplitude modes are turned on to…

Quantum Gases · Physics 2012-05-07 Chi-Yong Lin , Da-Shin Lee , Ray J. Rivers

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

Bose-Einstein condensation (BEC) in cold gases can be turned on and off by an external potential, such as that presented by an optical lattice. We present a model of this phenomenon which we are able to analyze rigorously. The system is a…

Statistical Mechanics · Physics 2009-11-10 Michael Aizenman , Elliott H. Lieb , Robert Seiringer , Jan Philip Solovej , Jakob Yngvason

We investigate an ultracold Bose-Fermi mixture with a Feshbach resonance between two hyperfine states of fermions. Using a functional integral method, we calculate collective modes associated with fermion-pairs and bosons in a superfluid…

Other Condensed Matter · Physics 2007-06-13 Hiroyuki Shibata , Nobuhiko Yokoshi , Susumu Kurihara

Recent progress in the field of ultracold gases has allowed the creation of phase-segregated Bose-Fermi systems. We present a theoretical study of their collective excitations at zero temperature. As the fraction of fermion to boson…

Statistical Mechanics · Physics 2009-03-18 Bert Van Schaeybroeck , Achilleas Lazarides
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