Development of Density-Matrix Equations for Photons to Describe Electromagnetic Fields in Quantum-Mechanical Systems
Quantum effects are gaining importance across applications, including nanoelectronics for miniaturization and quantum computers, photonics for quantum-dot lasers, and optical communication technology for quantum encoding and quantum cryptography. Field operators in quantum field theory allow a precise treatment of particle interactions in the electromagnetic field, but the field is represented by modes as quantized states, so existing numerical methods of classical electrodynamics for solving Maxwell’s equations are not exploited. The mode-analysis approach also requires substantial computational effort. The aim is therefore to advance numerical methods for analyzing time-dependent electromagnetic fields with quantization in view. To this end, equations of motion for annihilation and creation field operators will be transformed, using the Wigner formalism, into density-matrix equations for photons, enabling a self-consistent treatment of charge-carrier transport.
DFG Individual Research Grant
- Title: Development of Density-Matrix Equations for Photons to Describe Electromagnetic Fields in Quantum-Mechanical Systems
- Project number: 550317433
- Project Duration: funded since 2024
- Funding: Individual Research Grant
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