The idea of manipulating the interaction between ultracold fermionic alkaline-earth(like)atoms via a laser-induced periodical synthetic magnetic field was proposed in Kanász-Nagy et al(2018 Phys.Rev.B 97,155156).In that work,it was shown that in the presence of the shaking synthetic magnetic field,two atoms in 1S0 and 3P0 states experience a periodical interaction in a rotated frame,and the effective inter-atomic interaction was approximated as the time-averaged operator of this time-dependent interaction.This technique is supposed to be efficient for 173Yb atoms which have a large natural scattering length.Here we examine this time-averaging approximation and derive the rate of the two-body loss induced by the shaking of the synthetic magnetic field,by calculating the zero-energy inter-atomic scattering amplitude corresponding to the explicit periodical interaction.We find that for the typical cases with shaking angular frequency λ of the synthetic magnetic field being of the order of(2π)kHz,the time-averaging approximation is applicable only when the shaking amplitude is small enough.Moreover,the two-body loss rate increases with the shaking amplitude,and is of the order of 10-10 cm3·s-1 or even larger when the time-averaging approximation is not applicable.Our results are helpful for the quantum simulations with ultracold gases of fermionic alkaline-earth(like)atoms.

Shu Yang;Yue Chen;Peng Zhang

Department of Physics,Renmin University of China,Beijing 100872,China;Beijing Computational Science Research Center,Beijing 100084,China;Beijing Key Laboratory of Opto-electronic Functional Materials&Micro-nano Devices,Renmin University of China,Beijing 100872,China

理论物理

[1]Shu Yang;Yue Chen;Peng Zhang-.Scattering amplitude and two-body loss of ultracold alkaline-earth atoms in a shaking synthetic magnetic field)[J].理论物理,2022(06):135-142

Nagy,173Yb

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