Numerical Framework for New Langevin Noise Model: Applications to Plasmonic Hong-Ou-Mandel Effects

We present a numerical framework of the new Langevin noise (LN) formalism [1,2] leveraging computational electromagnetics numerical methods to analyze quantum electromagnetic systems involving both medium and radiation losses. We then perform fully quantum-theoretic numerical simulations to retrieve quantum plasmonic Hong-Ou-Mandel (HOM) effects, demonstrated in recent experimental works [3-5], due to plasmonic interferences of two indistinguishable bosonic particles occupied in surface plasmon polariton (SPP) fields. The developed numerical framework would pave the path towards quantitative evaluations of open and dissipative quantum optics problems with the medium inhomogeneity and geometric complexity, e.g., quantum plasmonic phenomena and metasurface-based devices, useful for advancing the current quantum optics technology.