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

Abstract

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

6 pages, 8 figure; to appear in EPJ D

References in corpus (6)

• Entanglement by a beam splitter: nonclassicality as a prerequisite for entanglement
• A Delayed Choice Quantum Eraser
• Time-Resolved Two-Photon Quantum Interference
• Quantum Physics of Simple Optical Instruments
• Two-photon interference without bunching two photons
• Quantum Interference between a Single-Photon Fock State and a Coherent State

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