M Bruderer et al 2008 New J. Phys. 10 033015 doi:10.1088/1367-2630/10/3/033015
Transport of strong-coupling polarons in optical lattices
M Bruderer1,3, A Klein1,2, S R Clark1 and D Jaksch1,2
Show affiliationsWe study the transport of ultracold impurity atoms immersed in a Bose–Einstein condensate (BEC) and trapped in a tight optical lattice. Within the strong-coupling regime, we derive an extended Hubbard model describing the dynamics of the impurities in terms of polarons, i.e. impurities dressed by a coherent state of Bogoliubov phonons. Using a generalized master equation based on this microscopic model, we show that inelastic and dissipative phonon scattering results in (i) a crossover from coherent to incoherent transport of impurities with increasing BEC temperature and (ii) the emergence of a net atomic current across a tilted optical lattice. The dependence of the atomic current on the lattice tilt changes from ohmic conductance to negative differential conductance within an experimentally accessible parameter regime. This transition is accurately described by an Esaki–Tsu-type relation with the effective relaxation time of the impurities as a temperature-dependent parameter.
- PACS
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71.38.-k Polarons and electron-phonon interactions
67.30.hb Transport, hydrodynamics, and superflow
- Subjects
- Dates
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Issue 3 (March 2008)
Received 24 October 2007
Published 11 March 2008
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Transport of strong-coupling polarons in optical lattices
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