摘要
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^(1)S_(0)and^(3)P_(0) 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 ^(173) Yb 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 frequencyλof 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)cm^(3)·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.
