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We study the behavior of a quantum dipolar Bose condensate with theLee-Huang-Yang quantum corrections at zero temperature in the presence of weakdisorder potential. We solve the underlying nonlocal Gross-Pitaevskii equationusing a perturbative theory. The role of both the Lee-Huang-Yang term and thedisorder potential on the condensed fraction, the equation of state, thecompressibility and the superfluid density is deeply analyzed. Surprisingly, wefind that the Lee-Huang-Yang quantum corrections not only arrest the dipolarimplosion but also lead to reduce the condensate fluctuations due to thedisorder effects prohibiting the formation of a Bose glass state. We show thatthe superfluid density exhibits unconventional behavior.

Effects of the Lee-Huang-Yang quantum corrections on a disordered dipolar Bose gas