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Hartree-Fock-Bogoliubov-Popov approach to superfluidity of atoms in an optical lattice

Ana María Rey, Robert Roth, Keith R. Burnett +3 more

APSMay 1, 20030 citations

Bogoliubov approach to superfluidity of atoms in an optical lattice

Ana María Rey, Keith R. Burnett, Robert Roth +3 more

We use the Bogoliubov theory of atoms in an optical lattice to study the approach to the Mott-insulator transition. We derive an explicit expression for the superfluid density based on the rigidity of the system under phase variations. This enables us to explore the connection between the quantum depletion of the condensate and the quasi-momentum distribution on the one hand and the superfluid fraction on the other. The approach to the insulator phase may be characterized through the filling of the band by quantum depletion, which should be directly observable via the matter–wave interference patterns. We complement these findings by self-consistent Hartree–Fock–Bogoliubov–Popov calculations for one-dimensional lattices, including the effects of a parabolic trapping potential.We use the Bogoliubov theory of atoms in an optical lattice to study the approach to the Mott-insulator transition. We derive an explicit expression for the superfluid density based on the rigidity of the system under phase variations. This enables us to explore the connection between the quantum depletion of the condensate and the quasi-momentum distribution on the one hand and the superfluid fraction on the other. The approach to the insulator phase may be characterized through the filling of the band by quantum depletion, which should be directly observable via the matter–wave interference patterns. We complement these findings by self-consistent Hartree–Fock–Bogoliubov–Popov calculations for one-dimensional lattices, including the effects of a parabolic trapping potential.

arXiv:cond-mat/0210550Journal of Physics B Atomic Molecular and Optical PhysicsFeb 14, 2003102 citations

Unconventional superfluidity in higher bands of an optical lattice

Andreas Hemmerich

Bulletin of the American Physical SocietyMar 18, 20130 citations

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

M. Bruderer, T. H. Johnson, Stephen R. L. Clark +3 more

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.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.

arXiv:1007.3828Physical Review AOct 21, 201020 citations

Superfluidity of Feshbach resonant atoms in an optical lattice

Juha Javanainen, Tun Wang, Susanne F. Yelin

Bulletin of the American Physical SocietyJun 7, 20070 citations

Superfluidity of Bosons in Optical lattices with Spin-Orbit coupling

Daniel E. Sheehy, Qin-Qin Lü

Bulletin of the American Physical SocietyFeb 28, 20120 citations

Bogoliubov Approach to Superfluidity of Atoms in an Optical Lattice

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