arXiv:cond-mat/0303220 · Physical Review A

Resonant dynamics in boson-fermion mixtures

Michiel Wouters, Jacques Tempere, J. T. Devreese

Published Jun 25, 2003• 15 citations

Abstract

The time evolution of a dilute atomic boson-fermion mixture is studied at zero temperature, when the external magnetic field is brought close to an interspecies Feshbach resonance. On short time scales we find that before a collapse or phase separation of the mixture can occur, oscillations between fermionic atoms and heteronuclear molecules dominate the dynamics. Applying the model presented here to a trapped mixture of ${}^{40}\mathrm{K}{\ensuremath{-}}^{87}\mathrm{Rb}$ atoms, we find that the predicted oscillations can be revealed in degenerate mixtures of these atoms.

DOI: 10.1103/physreva.67.063609

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arXiv:cond-mat/0303220 · Physical Review A

Resonant dynamics in boson-fermion mixtures

Michiel Wouters, Jacques Tempere, J. T. Devreese

Published Jun 25, 2003• 15 citations

arXiv HTML PDF

Abstract

{}^{40}\mathrm{K}{\ensuremath{-}}^{87}\mathrm{Rb}

atoms, we find that the predicted oscillations can be revealed in degenerate mixtures of these atoms.

DOI: 10.1103/physreva.67.063609

Related papers

Resonant dynamics in a quasi-2D atomic boson–fermion mixture

Michiel Wouters, Jacques Tempere, J. T. Devreese

Journal of Physics B Atomic Molecular and Optical PhysicsMar 24, 20041 citation

Fermi-Bose mixture across a Feshbach resonance

Luca Salasnich, Flavio Toigo

We study a dilute mixture of degenerate bosons and fermions across a Feshbach resonance of the Fermi-Fermi scattering length ${a}_{F}$ . This scattering length is renormalized by the boson-induced interaction between fermions and its value is crucial to determine the phase diagram of the system. For the mixture in a box and a positive Bose-Fermi scattering length, we show that there are three possibilities: A single uniform mixed phase, a purely fermionic phase coexisting with a mixed phase, and a purely fermionic phase coexisting with a purely bosonic one. As $1∕{a}_{F}$ is increased from a negative value to the Feshbach resonance $(1∕{a}_{F}=0)$ , the region of pure separation increases and the other two regions are strongly reduced. Above the Feshbach resonance $(1∕{a}_{F}>0)$ , pairs of Fermi atoms become Bose-condensed molecules. We find that these molecules are fully spatially separated from the bosonic atoms when $1∕{a}_{F}$ exceeds a critical value. For a negative Bose-Fermi scattering length we deduce the condition for collapse, which coincides with the onset of dynamical instability of the fully mixed phase. We consider also the mixture in a harmonic trap and determine the conditions for partial demixing, full demixing, and collapse. The experimental implications of our results are investigated by analyzing mixtures of $^{6}\mathrm{Li}\text{\ensuremath{-}}^{23}\mathrm{Na}$ and $^{40}\mathrm{K}\text{\ensuremath{-}}^{87}\mathrm{Rb}$ atoms.We study a dilute mixture of degenerate bosons and fermions across a Feshbach resonance of the Fermi-Fermi scattering length ${a}_{F}$. This scattering length is renormalized by the boson-induced interaction between fermions and its value is crucial to determine the phase diagram of the system. For the mixture in a box and a positive Bose-Fermi scattering length, we show that there are three possibilities: A single uniform mixed phase, a purely fermionic phase coexisting with a mixed phase, and a purely fermionic phase coexisting with a purely bosonic one. As $1∕{a}_{F}$ is increased from a negative value to the Feshbach resonance $(1∕{a}_{F}=0)$, the region of pure separation increases and the other two regions are strongly reduced. Above the Feshbach resonance $(1∕{a}_{F}>0)$, pairs of Fermi atoms become Bose-condensed molecules. We find that these molecules are fully spatially separated from the bosonic atoms when $1∕{a}_{F}$ exceeds a critical value. For a negative Bose-Fermi scattering length we deduce the condition for collapse, which coincides with the onset of dynamical instability of the fully mixed phase. We consider also the mixture in a harmonic trap and determine the conditions for partial demixing, full demixing, and collapse. The experimental implications of our results are investigated by analyzing mixtures of $^{6}\mathrm{Li}\text{\ensuremath{-}}^{23}\mathrm{Na}$ and $^{40}\mathrm{K}\text{\ensuremath{-}}^{87}\mathrm{Rb}$ atoms.

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Three magnetic-field induced heteronuclear Feshbach resonances were identified in collisions between bosonic $^{87}\mathrm{R}\mathrm{b}$ and fermionic $^{40}\mathrm{K}$ atoms in their absolute ground states. Strong inelastic loss from an optically trapped mixture was observed at the resonance positions of 492, 512, and $543\ifmmode\pm\else\textpm\fi{}2\text{ }\text{ }\mathrm{G}$. The magnetic-field locations of these resonances place a tight constraint on the triplet and singlet cross-species scattering lengths, yielding $(\ensuremath{-}281\ifmmode\pm\else\textpm\fi{}15){a}_{0}$ and $(\ensuremath{-}54\ifmmode\pm\else\textpm\fi{}12){a}_{0}$, respectively. The width of the loss feature at 543 G is $3.7\ifmmode\pm\else\textpm\fi{}1.5\text{ }\text{ }\mathrm{G}$ wide; this broad Feshbach resonance should enable experimental control of the interspecies interactions.Three magnetic-field induced heteronuclear Feshbach resonances were identified in collisions between bosonic $^{87}\mathrm{R}\mathrm{b}$ and fermionic $^{40}\mathrm{K}$ atoms in their absolute ground states. Strong inelastic loss from an optically trapped mixture was observed at the resonance positions of 492, 512, and $543\ifmmode\pm\else\textpm\fi{}2\text{ }\text{ }\mathrm{G}$. The magnetic-field locations of these resonances place a tight constraint on the triplet and singlet cross-species scattering lengths, yielding $(\ensuremath{-}281\ifmmode\pm\else\textpm\fi{}15){a}_{0}$ and $(\ensuremath{-}54\ifmmode\pm\else\textpm\fi{}12){a}_{0}$, respectively. The width of the loss feature at 543 G is $3.7\ifmmode\pm\else\textpm\fi{}1.5\text{ }\text{ }\mathrm{G}$ wide; this broad Feshbach resonance should enable experimental control of the interspecies interactions.

arXiv:cond-mat/0406208Physical Review LettersOct 25, 2004307 citations

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D. B. M. Dickerscheid, D. van Oosten, Erik Tillema +1 more

We consider a resonantly interacting boson-fermion mixture of 40K and 87Rb 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 40K and 87Rb atoms, and 40K-87Rb molecules. The microscopic parameters of this model are fully determined by the details of the optical lattice and the interspecies Feshbach resonance in the absence of the lattice. We predict a quantum phase transition to occur in this system already at low atomic filling fraction, and present the phase diagram as a function of the temperature and the applied magnetic field.We consider a resonantly interacting boson-fermion mixture of 40K and 87Rb 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 40K and 87Rb atoms, and 40K-87Rb molecules. The microscopic parameters of this model are fully determined by the details of the optical lattice and the interspecies Feshbach resonance in the absence of the lattice. We predict a quantum phase transition to occur in this system already at low atomic filling fraction, and present the phase diagram as a function of the temperature and the applied magnetic field.

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Control of the interaction in a Fermi-Bose mixture

Matteo Zaccanti, Chiara D’Errico, Francesca Ferlaino +3 more

We control the interspecies interaction in a two-species atomic quantum mixture by tuning the magnetic field at a Feshbach resonance. The mixture is composed by fermionic $^{40}\mathrm{K}$ and bosonic $^{87}\mathrm{Rb}$ . We observe effects of the large attractive and repulsive interaction energy across the resonance, such as collapse or a reduced spatial overlap of the mixture, and we accurately locate the resonance position and width. Understanding and controlling instabilities in this mixture opens the way to a variety of applications, including formation of heteronuclear molecular quantum gases.We control the interspecies interaction in a two-species atomic quantum mixture by tuning the magnetic field at a Feshbach resonance. The mixture is composed by fermionic $^{40}\mathrm{K}$ and bosonic $^{87}\mathrm{Rb}$. We observe effects of the large attractive and repulsive interaction energy across the resonance, such as collapse or a reduced spatial overlap of the mixture, and we accurately locate the resonance position and width. Understanding and controlling instabilities in this mixture opens the way to a variety of applications, including formation of heteronuclear molecular quantum gases.

arXiv:cond-mat/0606757Physical Review AOct 26, 2006122 citations

{}^{40}\mathrm{K}{\ensuremath{-}}^{87}\mathrm{Rb}

atoms, we find that the predicted oscillations can be revealed in degenerate mixtures of these atoms.

We study a dilute mixture of degenerate bosons and fermions across a Feshbach resonance of the Fermi-Fermi scattering length

{a}_{F}

. This scattering length is renormalized by the boson-induced interaction between fermions and its value is crucial to determine the phase diagram of the system. For the mixture in a box and a positive Bose-Fermi scattering length, we show that there are three possibilities: A single uniform mixed phase, a purely fermionic phase coexisting with a mixed phase, and a purely fermionic phase coexisting with a purely bosonic one. As

1∕{a}_{F}

is increased from a negative value to the Feshbach resonance

(1∕{a}_{F}=0)

, the region of pure separation increases and the other two regions are strongly reduced. Above the Feshbach resonance

(1∕{a}_{F}>0)

, pairs of Fermi atoms become Bose-condensed molecules. We find that these molecules are fully spatially separated from the bosonic atoms when

1∕{a}_{F}

exceeds a critical value. For a negative Bose-Fermi scattering length we deduce the condition for collapse, which coincides with the onset of dynamical instability of the fully mixed phase. We consider also the mixture in a harmonic trap and determine the conditions for partial demixing, full demixing, and collapse. The experimental implications of our results are investigated by analyzing mixtures of $^{6}\mathrm{Li}\text{\ensuremath{-}}^{23}\mathrm{Na}$ and $^{40}\mathrm{K}\text{\ensuremath{-}}^{87}\mathrm{Rb}$ atoms.

Three magnetic-field induced heteronuclear Feshbach resonances were identified in collisions between bosonic

^{87}\mathrm{R}\mathrm{b}

and fermionic

^{40}\mathrm{K}

atoms in their absolute ground states. Strong inelastic loss from an optically trapped mixture was observed at the resonance positions of 492, 512, and $543\ifmmode\pm\else\textpm\fi{}2\text{ }\text{ }\mathrm{G}$. The magnetic-field locations of these resonances place a tight constraint on the triplet and singlet cross-species scattering lengths, yielding $(\ensuremath{-}281\ifmmode\pm\else\textpm\fi{}15){a}_{0}$ and $(\ensuremath{-}54\ifmmode\pm\else\textpm\fi{}12){a}_{0}$, respectively. The width of the loss feature at 543 G is $3.7\ifmmode\pm\else\textpm\fi{}1.5\text{ }\text{ }\mathrm{G}$ wide; this broad Feshbach resonance should enable experimental control of the interspecies interactions.

We control the interspecies interaction in a two-species atomic quantum mixture by tuning the magnetic field at a Feshbach resonance. The mixture is composed by fermionic

^{40}\mathrm{K}

and bosonic

^{87}\mathrm{Rb}

. We observe effects of the large attractive and repulsive interaction energy across the resonance, such as collapse or a reduced spatial overlap of the mixture, and we accurately locate the resonance position and width. Understanding and controlling instabilities in this mixture opens the way to a variety of applications, including formation of heteronuclear molecular quantum gases.