Phonon resonances in atomic currents through Bose-Fermi mixtures in optical lattices
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 Wann...
| Main Authors: | , , , , , |
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| Format: | Journal article |
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American Physical Society
2010
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| _version_ | 1797053071368388608 |
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| author | Bruderer, M Johnson, T Clark, S Jaksch, D Posazhennikova, A Belzig, W |
| author_facet | Bruderer, M Johnson, T Clark, S Jaksch, D Posazhennikova, A Belzig, W |
| author_sort | Bruderer, M |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-06T18:38:54Z |
| format | Journal article |
| id | oxford-uuid:0c388855-388e-4d9f-a6ee-66ecd6ab253b |
| institution | University of Oxford |
| last_indexed | 2024-03-06T18:38:54Z |
| publishDate | 2010 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | oxford-uuid:0c388855-388e-4d9f-a6ee-66ecd6ab253b2022-03-26T09:33:47ZPhonon resonances in atomic currents through Bose-Fermi mixtures in optical latticesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:0c388855-388e-4d9f-a6ee-66ecd6ab253bSymplectic Elements at OxfordAmerican Physical Society2010Bruderer, MJohnson, TClark, SJaksch, DPosazhennikova, ABelzig, WWe 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. |
| spellingShingle | Bruderer, M Johnson, T Clark, S Jaksch, D Posazhennikova, A Belzig, W Phonon resonances in atomic currents through Bose-Fermi mixtures in optical lattices |
| title | Phonon resonances in atomic currents through Bose-Fermi mixtures in
optical lattices |
| title_full | Phonon resonances in atomic currents through Bose-Fermi mixtures in
optical lattices |
| title_fullStr | Phonon resonances in atomic currents through Bose-Fermi mixtures in
optical lattices |
| title_full_unstemmed | Phonon resonances in atomic currents through Bose-Fermi mixtures in
optical lattices |
| title_short | Phonon resonances in atomic currents through Bose-Fermi mixtures in
optical lattices |
| title_sort | phonon resonances in atomic currents through bose fermi mixtures in optical lattices |
| work_keys_str_mv | AT brudererm phononresonancesinatomiccurrentsthroughbosefermimixturesinopticallattices AT johnsont phononresonancesinatomiccurrentsthroughbosefermimixturesinopticallattices AT clarks phononresonancesinatomiccurrentsthroughbosefermimixturesinopticallattices AT jakschd phononresonancesinatomiccurrentsthroughbosefermimixturesinopticallattices AT posazhennikovaa phononresonancesinatomiccurrentsthroughbosefermimixturesinopticallattices AT belzigw phononresonancesinatomiccurrentsthroughbosefermimixturesinopticallattices |