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We report thermal conductivity measurements of porous Vycor glass when it isempty and when the pores are filled with helium between 0.06 and 0.5 K. Thefilling of liquid 3He and liquid 4He inside the Vycor pores brings aboutrespectively two and three fold reduction of the thermal conductivity ascompared with empty Vycor. This dramatic reduction of thermal conductivity, notseen with solid 3He and 4He in the pores, is the consequence of hydrodynamicsound modes in liquid helium that greatly facilitate the quantum tunneling ofthe two-level systems (TLS) in Vycor and enhance the scattering of the thermalphonons in the silica network.

Threefold Reduction in Thermal Conductivity of Vycor Glass Due to Adsorption of Liquid 4He