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 creation of photonic qubits. In particular, the negatively charged boron vacancy V^-_B defect is a lead qubit candidate at room temperature. However, the characteristic phenomena of single-photon emission are limited to multi-environmental many-body interactions of the hBN defect. Here we develop a computational tensor network framework on quantum input-output networks called SLH tensor network that describes optical emissions of a modified Λ-model for V^-_B quantum defect. We investigate room temperature effects on phonon-defect interaction and their influence on key material tensors such as the Zeeman effect and hyperfine splitting. The internal state of the V^-_B defect is simulated as an SLH tensor network for the generation of single-photon emission. We demonstrate that single-photon qubit's g⁽²⁾-correlations are dependent on a multitime scale between the optical and spin transitions highlighted by a comparison of time-evolving tensor network methods. A full characterization of an optical wavefunction at room temperature operation provides insight into the design and control of photonic qubits in hBN.