Role of Interactions in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi>Rb</mml:mi><mml:mprescripts /><mml:none /><mml:mn>87</mml:mn></mml:mmultiscripts><mml:mtext mathvariant="normal">−</mml:mtext><mml:mmultiscripts><mml:mi mathvariant="bold">K</mml:mi><mml:mprescripts /><mml:none /><mml:mn>40</mml:mn></mml:mmultiscripts></mml:math>Bose-Fermi Mixtures in a 3D Optical Lattice

Best, Th.; Will, Sebastian; Schneider, Ulrich; Hackermüller, Lucia; Oosten, D. van; Bloch, Immanuel; Lühmann, Dirk-Sören

doi:10.1103/physrevlett.102.030408

Cited by 159 publications

(208 citation statements)

References 23 publications

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“…There are crucial advantages of our cold atom implementation over a solid-state system: First, neither impurities nor imperfections in the system suppress the resonances in the current [17] and hence fermion-phonon scattering is the only relaxation process, which can be fully controlled via the bosonic system parameters [5,22]. Second, large lattice tilts can be achieved with an energy mismatch between neighboring fermion sites that exceeds the bandwidth of both the fermions and the phonons.…”

Section: Fig 1 (Color Online)mentioning

confidence: 99%

“…The key experimental techniques required for our scheme are twofold: first, the independent trapping of atoms of different species in species-specific optical lattice potentials [24,25] and, second, the tunability of the boson-boson and boson-fermion interactions by Feshbach resonances [5,26]. Also, we exploit the possibility of implementing low-dimensional systems by strongly increasing the depth of the optical potentials along specific directions.…”

Section: Fig 1 (Color Online)mentioning

confidence: 99%

“…These conditions are met by using species-specific optical lattice potentials [24,25] and by limiting the number of fermions in the system [3][4][5]. Moreover, we restrict our analysis to fermions moving slower than superfluid critical velocity, which is c s according to Landau's criterion [33], to avoid excitations other than those caused by the hopping transitions.…”

Section: Effective Modelmentioning

confidence: 99%

“…In particular, ultracold atoms confined to optical lattice potentials have been shown to be perfectly suitable for implementing physical models of fundamental interest not only to the field of atomic physics but also to condensed matter physics [1,2]. Specific examples of a highly versatile many-body system include Bose-Fermi mixtures in optical lattices, which have been used recently to analyze the effect of fermionic impurities on the superfluid to Mottinsulator transition [3][4][5]. A further experimental setup closely related to condensed matter systems consists of ultracold atoms in tilted optical lattice potentials.…”

Section: Introductionmentioning

confidence: 99%

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Phonon resonances in atomic currents through Bose-Fermi mixtures in optical lattices

et al. 2010

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We present an analysis of Bose-Fermi mixtures in optical lattices for the case where the lattice potential of the fermions is tilted and the bosons (in the superfluid phase) are described by Bogoliubov phonons. It is shown that the Bogoliubov phonons enable hopping transitions between fermionic Wannier-Stark states; these transitions are accompanied by energy dissipation into the superfluid and result in a net atomic current along the lattice. We derive a general expression for the drift velocity of the fermions and find that the dependence of the atomic current on the lattice tilt exhibits negative differential conductance and phonon resonances. Numerical simulations of the full dynamics of the system based on the time-evolving block decimation algorithm reveal that the phonon resonances should be observable under the conditions of a realistic measuring procedure.

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Section: Fig 1 (Color Online)mentioning

confidence: 99%

Section: Fig 1 (Color Online)mentioning

confidence: 99%

Section: Effective Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Phonon resonances in atomic currents through Bose-Fermi mixtures in optical lattices

et al. 2010

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“…In recent years, experiments have produced degenerate Bose-Fermi [1][2][3] and Bose-Bose [4][5][6] mixtures of ultracold atoms with increasing degree of control, making possible the quantum simulation of bosonic environments. The behavior of a single impurity in a bosonic bath is very well understood.…”

Section: Introductionmentioning

confidence: 99%

Variational polaron method for Bose-Bose mixtures

Benjamin

Demler

2014

Phys. Rev. A

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We study degenerate mixtures of heavy bosons and light superfluid bosons using a variational polaron transformation. We consider the Mott-insulator-superfluid transition of the heavy species and find that at T = 0 interaction favors the superfluid phase of the heavy species. Our analytic results agree well with numerically exact quantum Monte Carlo simulations in two dimensions. We then show that in three dimensions the variational polaron transformation can be combined with a Gutzwiller approximation to give good results.

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Mixtures of correlated bosons and fermions: Dynamical mean-field theory for normal and condensed phases

Byczuk¹,

Vollhardt²

2009

Ann. Phys.

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We derive a dynamical mean-field theory for mixtures of interacting bosons and fermions on a lattice (BF-DMFT). The BF-DMFT is a comprehensive, thermodynamically consistent framework for the theoretical investigation of Bose-Fermi mixtures and is applicable for arbitrary values of the coupling parameters and temperatures. It becomes exact in the limit of high spatial dimensions d or coordination number Z of the lattice. In particular, the BF-DMFT treats normal and condensed bosons on equal footing and thus includes the effects caused by their dynamic coupling. Using the BF-DMFT we investigate two different interaction models of correlated lattice bosons and fermions, one where all particles are spinless (model I) and one where fermions carry a spin one-half (model II). In model I the local, repulsive interaction between bosons and fermions can give rise to an attractive effective interaction between the bosons. In model II it can also lead to an attraction between the fermions.

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Role of Interactions inRb87−K40Bose-Fermi Mixtures in a 3D Optical Lattice

Cited by 159 publications

References 23 publications

Phonon resonances in atomic currents through Bose-Fermi mixtures in optical lattices

Phonon resonances in atomic currents through Bose-Fermi mixtures in optical lattices

Variational polaron method for Bose-Bose mixtures

Mixtures of correlated bosons and fermions: Dynamical mean-field theory for normal and condensed phases

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