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One-dimensional Bose and Fermi gases with contact interactions are known toexhibit the weak-strong duality, where the equilibrium thermodynamic propertiesof one system at weak coupling are identical to those of the other system atstrong coupling. Here, we show that such duality extends beyond thethermodynamics to the frequency-dependent complex bulk viscosity, which isprovided by the contact-contact response function. In particular, we confirmthat the bulk viscosities of the Bose and Fermi gases agree in thehigh-temperature limit, where the systematic expansion in terms of fugacity isavailable at arbitrary coupling. We also compute their bulk viscositiesperturbatively in the weak-coupling limit at arbitrary temperature, which viathe duality serve as those of the Fermi and Bose gases in the strong-couplinglimit.

Bulk viscosity of dual Bose and Fermi gases in one dimension