Here, we present an alternative approach for the description of quantum critical fluctuations. These are described by Langevin random fields, which are then related to the susceptibility using the fluctuation-dissipation theorem. We use this approach to characterize the physical properties arising in the vicinity of two coupled quantum phase transitions. We consider a phenomenological model based on two scalar order parameter fields locally coupled biquadratically and having a common quantum critical point as a function of a quantum tuning parameter such as pressure or magnetic field. A self-consistent treatment shows that the uniform static susceptibilities of the two order parameter fields have the same qualitative form at low temperature even where the forms are different in the absence of the biquadratic coupling.We acknowledge support from EPSRC, Corpus Christi College, the National Science Foundation Grant No. NSF DMR-1334428, and the Increase Competitiveness Program of the Ministry of Education of the Russian Federation Grant No. NUST MISiS K2-2017-024. We are grateful to Trinity College Cambridge, the Cavendish Laboratory, and the Aspen Center for Physics, supported by National Science Foundation Grant No. NSF PHY-1066293, for hospitality. S.E.R. acknowledges support from a CONFAP Newton grant
