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Exact and semiclassical fermion dynamics in amplitude modulated lattices | | T. Yamakoshi
; S. Watanabe
; S. Ohgoda
; A.P. Itin
; | | Date: |
31 Mar 2016 | | Abstract: | We study dynamics of fermions loaded in an optical lattice with a
superimposed parabolic trap potential. In the recent Hamburg experiments
[J.Heinze et.al., Phys. Rev. Lett. 110, 085302 (2013)] on quantum simulation of
photoconductivity, a modulation pulse on the optical lattice transferred part
of the population of the lowest band to an excited band, leaving a hole in the
particle distribution of the lowest band. Subsequent intricate dynamics of both
excited particles and holes can be explained by a semiclassical approach based
on the evolution of Wigner function. Here we provide a more detailed analysis
of the dynamics taking into account the dimensionality of the system and finite
temperature effects, aiming at reproducing experimental results on longer
timescales. A semiclassical wave packet is constructed more accurately than in
the previous theory. As a result, semiclassical dynamics indeed reproduces
experimental data and full quantum numerical calculations with much better
accuracy. In particular, fascinating phenomenon of collapse and revival of
holes is investigated in a more detail. We presume the experimental setup can
be used for deeper exploration of nonlinear waves in fermionic gases. | | Source: | arXiv, 1603.9507 | | Services: | Forum | Review | PDF | Favorites | |
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