Characterization of Hexagonal Boron Nitride Quantum Emitter as an SLH Tensor Network

Defect-based quantum emitters in hexagonal boron nitride (hBN) are promising for the development of photonic qubits. However, the quantum emission based on spin-optical properties of defects has yet to be fully understood at room temperature due to the multienvironmental interactions. In this work, we utilize a quantum input–output network framework to develop a tensor network state, that describes the photon emission in the boron vacancy quantum defect, V_B^–, as an SLH triple, G_hBN. We showcase a time-evolving block decimation algorithm to simulate the spin-optical properties, which incorporate multitime scale of slow and fast state transitions with their bond dimensions that grow to a polynomial order. We investigated the effects of a coherent state stimulating the radiative port of G_hBN, highlighting the output photon emission of characteristic slow and fast radiative decay rates. Our results and methodology demonstrate that defect-based quantum emission in hBN is influenced by the time scale of the radiative lifetime and the influx of photons at the input port of G_hBN.