Quantum spin-wave dynamics and magneto-transport behaviour in 2D van der Waals heterostructure*

Spin-wave ensembles in qunatum regime coupled together to offer an exciting prospect of observing complex behaviour interlinking the microscopic spin features with macroscopic spin ensembles [\emph{Phys. Rev. Lett.} $\bf{121}$, 126401 (2018)]. This feature is quite evidence in two dimensional van der waals heterostructure systems [\emph{Phys. Rev. Lett.} $\bf{121}$, 067701, 2018]. In those systems, spin-transfer torque plays a major role to explain the induced magneto-transport phenomenon. Here, we demonstrate the collective interactions in an ensemble of spin-waves to unravel the full quantum dynamics and transport studies. We model a time-adaptive variational renormalization group method that accurately captures the underlying spin-wave dynamics and magneto-transport equations with potential device applications [\emph{arXiv}:1808.04418].