Mixtures of ultracold gases: Fermi sea and Bose-Einstein condensate   of lithium isotopes

Schreck, Florian

doi:10.1051/anphys:2003004

Cited by 8 publications

(7 citation statements)

References 127 publications

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Section: Decrease Of the Scattering Length At Finite Momentamentioning

confidence: 99%

“…r e is the potential e ective range, on the order of the Van-der-Waals range a c = (2m r C 6 / 2 ) 1/4 2.6 a 77 [90]. Due to the negative sign of the scattering length, the factor 1 + a 77 r e k 2 decreases with k. The exact calculation of σ(k) reveals that the cross section actually cancels for a relative energy of 6.6 mK [90]. This leads to a strong decrease of the mean collision rate inside a trapped gas at thermal equilibrium: at 2 mK, the scattering rate is decreased by a factor 4 with respect to the collision rate corresponding to σ = 8πa 2 77 .…”

Section: Decrease Of the Scattering Length At Finite Momentamentioning

confidence: 99%

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Thermodynamics of Ultracold Fermi Gases

Nascimbène

Navon

Chevy

et al. 2010

Latin America Optics and Photonics Conference

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Section: Decrease Of the Scattering Length At Finite Momentamentioning

confidence: 99%

Section: Decrease Of the Scattering Length At Finite Momentamentioning

confidence: 99%

Thermodynamics of Ultracold Fermi Gases

Nascimbène

Navon

Chevy

et al. 2010

Latin America Optics and Photonics Conference

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“…(44) to (60), is suggested in Ref. [30]. For this a degenerate Fermi gas with attractive interaction between the fermions must be prepared.…”

Section: Summary and Discussionmentioning

confidence: 99%

“…For this a degenerate Fermi gas with attractive interaction between the fermions must be prepared. A possible realization can be obtained in fermionic 6 Li [30]. In experiments atoms can be prepared in two different hyperfine states and a Feshbach resonance is used to tune the interaction due to elastic collisions to the desired value [31].…”

Section: Summary and Discussionmentioning

confidence: 99%

Nonlinear sigma model for a condensate composed of fermionic atoms

Mieck

2005

Physica A: Statistical Mechanics and its Applications

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A nonlinear sigma model is derived for the time development of a Bose-Einstein condensate composed of fermionic atoms. Spontaneous symmetry breaking of a Sp(2) symmetry in a coherent state path integral with anticommuting fields yields Goldstone bosons in a Sp(2)\U (2) coset space. After a Hubbard-Stratonovich transformation from the anticommuting fields to a local self-energy matrix with anomalous terms, the assumed short-ranged attractive interaction reduces this symmetry to a SO(4)\U (2) coset space with only one complex Goldstone field for the singlett pairs of fermions. This bosonic field for the anomalous term of fermions is separated in a gradient expansion from the density terms. The U (2) invariant density terms are considered as a background field or unchanged interacting Fermi sea in the spontaneous symmetry breaking of the SO(4) invariant action and appear as coefficients of correlation functions in the nonlinear sigma model for the Goldstone boson. The time development of the condensate composed of fermionic atoms results in a modified Sine-Gordon equation.

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“…The intraspecies (Bose-Bose) scattering becomes important at low temperature close to the BEC transition temperature because of Bose-enhancement, which may lead to the hydrodynamic regime. On the other hand, the Pauli-blocking of fermions suppresses the interspecies (Bose-Fermi) scattering at extremely low temperature [24]. This suppression favors the collisionless regime.…”

Section: Introductionmentioning

confidence: 99%

Dipole oscillation of a trapped Bose-Fermi-mixture gas in collisionless and hydrodynamic regimes

2020

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Dipole oscillation is studied in a normal phase of a trapped Bose-Fermi mixture gas, composed of single-species bosons and single-species fermions. Applying the moment method to the linearized Boltzmann equation, we derive a closed set of equations of motion for the center-of-mass position and momentum of both components. By solving the coupled equations, we reveal behaviors of dipole modes in the transition between the collisionless regime and the hydrodynamic regime. We find that two oscillating modes in the collisionless regime have distinct fates in the hydrodynamic regime; one collisionless mode shows a crossover to a hydrodynamic in-phase mode, and the other collisionless mode shows a transition to two purely-damped modes. Temperature dependence of these dipole modes are also discussed.

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Mixtures of ultracold gases: Fermi sea and Bose-Einstein condensate of lithium isotopes

Cited by 8 publications

References 127 publications

Thermodynamics of Ultracold Fermi Gases

Thermodynamics of Ultracold Fermi Gases

Nonlinear sigma model for a condensate composed of fermionic atoms

Dipole oscillation of a trapped Bose-Fermi-mixture gas in collisionless and hydrodynamic regimes

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