Field operator transformations in Quantum Optics using a novel graphical method with applications to beam splitters and interferometers

摘要

In this paper we describe a novel, graphical method, allowing the fastcomputation of field operator transformations for linear lossless opticaldevices in Quantum Optics (QO). The advantage of this method grows with thecomplexity of the considered optical setup. As case studies we examine thefield operator transformations for the beam splitter (BS), the Mach-Zehnderinterferometer (MZI) and the double MZI. We consider the simple case withmonochromatic input light, as well as extensions to the non-monochromatic case.