Boson-induced<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>s</mml:mi></mml:math>-wave pairing in dilute boson-fermion mixtures

Viverit, L.

doi:10.1103/physreva.66.023605

Cited by 58 publications

(26 citation statements)

References 16 publications

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“…We find five Feshbach resonances between bosons and fermions give rise to a fundamentally different type of crossover physics. Already some work on the interactions in Bose-Fermi mixtures can be found in the literature [31,32]. However, in order to describe correctly the many-body physics and interactions close to resonance, more research is needed.…”

Section: Formation Of Fermionic Molecules Via Interisotope Feshbach Rmentioning

confidence: 99%

Formation of fermionic molecules via interisotope Feshbach resonances

2004

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We perform an analysis of recent experimental measurements and improve the lithium interaction potentials. For 6 Li a consistent description can be given. We discuss theoretical uncertainties for the position of the wide 6 Li Feshbach resonance, and we present an analytic scattering model for this resonance, based on the inclusion of a field-dependent virtual open-channel state. We predict new Feshbach resonances for the 6 Li-7 Li system, and their importance for different types of crossover superfluidity models is discussed.

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Section: Formation Of Fermionic Molecules Via Interisotope Feshbach Rmentioning

confidence: 99%

Formation of fermionic molecules via interisotope Feshbach resonances

2004

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“…In FermiBose systems, a different and complementary approach to fermionic superfluidity has been suggested in which the interaction between fermionic atoms is provided by bosonic atoms taking over the role of phonons in the solid state superconductor [97,98,99,29]. When loaded into three-dimensional optical lattices, a wealth of different phases with no equivalent in condensed matter systems have been predicted to exist [29,27,100,101].…”

Section: Tuning Of Heteronuclear Interactionsmentioning

confidence: 99%

Heteronuclear quantum gas mixtures

Ospelkaus¹,

Ospelkaus²

2008

J. Phys. B: At. Mol. Opt. Phys.

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Abstract. In this PhD tutorial article, we present experiments with quantum degenerate mixtures of fermionic and bosonic atoms in 3-dimensional optical lattices. This heteronuclear quantum gas mixture offers a wide range of possibilities for quantum simulation, implementation of condensed matter Hamiltonians, quantum chemistry and ultimately dense and quantum degenerate dipolar molecular samples.We When loaded into a 3D optical lattice, a whole zoo of novel quantum phases has been predicted for Fermi-Bose mixtures. We present the first realization of Fermi-Bose mixtures in 3D optical lattices as a novel quantum many body system [3]. We study the phase coherence of the bosonic cloud in the 3D optical lattice as a function of the amount of fermionic atoms simultaneously trapped in the lattice. We observe a loss of phase coherence at much lower lattice depth than for a pure bosonic cloud and discuss possible theoretical scenarios including adiabatic processes, mean field FermiBose Hubbard scenarios, and disorder-enhanced localization scenarios.After considering this many-body limit of mixtures in lattices, we show how fermionic heteronuclear Feshbach molecules can be created in the optical lattice [4] as a crucial step towards all ground state dense dipolar molecular samples. We develop rf association as a novel molecule association technique, measure the binding energy, lifetime, and association efficiency of the molecules. We develop a simple theoretical single channel model of the molecules trapped in the lattice [5] which gives excellent quantitative agreement with the experimental data.

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“…The same phonons in the Bose gas can then induce an attractive interaction between fermions in the Fermi gas [6]. This, along with the unprecedented ability to tune parameters in such systems, e.g., two-body interaction and dimensionality, allows for the possibility of clean and controllable realization (or quantum simulation) of superfluid pairings in cold atom Bose-Fermi mixtures [7,8].…”

Section: Introductionmentioning

confidence: 99%

“…Remarkable experimental progress has been made in creating quantum-degenerate Bose-Fermi mixtures, e.g., 7 Li-6 Li [9,10], 23 Na- 6 Li [11], 87 Rb-40 K [12][13][14][15], 6 Li-87 Rb [16], and 23 Na-40 K [17]. Most recently, a mixture where both bosons and fermions are in the superfluid state has been realized [18].…”

Section: Introductionmentioning

confidence: 99%

Competing orders in a dipolar Bose-Fermi mixture on a square optical lattice: mean-field perspective

Scaramazza

Kain²,

Ling

2016

Eur. Phys. J. D

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We consider a mixture of a two-component Fermi gas and a single-component dipolar Bose gas in a square optical lattice and reduce it into an effective Fermi system where the Fermi-Fermi interaction includes the attractive interaction induced by the phonons of a uniform dipolar BoseEinstein condensate. Focusing on this effective Fermi system in the parameter regime that preserves the symmetry of D4, the point group of a square, we explore, within the Hartree-Fock-Bogoliubov mean-field theory, the phase competition among density wave orderings and superfluid pairings. We construct the matrix representation of the linearized gap equation in the irreducible representations of D4. We show that in the weak coupling regime, each matrix element, which is a four-dimensional (4D) integral in momentum space, can be put in a separable form involving a 1D integral, which is only a function of temperature and the chemical potential, and a pairing-specific "effective" interaction, which is an analytical function of the parameters that characterize the Fermi-Fermi interactions in our system. We analyze the critical temperatures of various competing orders as functions of different system parameters in both the absence and presence of the dipolar interaction. We find that close to half filling, the d x 2 −y 2 -wave pairing with a critical temperature in the order of a fraction of Fermi energy (at half filling) may dominate all other phases, and at a higher filling factor, the p-wave pairing with a critical temperature in the order of a hundredth of Fermi energy may emerge as a winner. We find that tuning a dipolar interaction can dramatically enhance the pairings with dxy-and g-wave symmetries but not enough for them to dominate other competing phases.

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Boson-induceds-wave pairing in dilute boson-fermion mixtures

Cited by 58 publications

References 16 publications

Formation of fermionic molecules via interisotope Feshbach resonances

Formation of fermionic molecules via interisotope Feshbach resonances

Heteronuclear quantum gas mixtures

Competing orders in a dipolar Bose-Fermi mixture on a square optical lattice: mean-field perspective

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