Schrodinger picture analysis of the beam splitter: an application of the Janszky representation

TL;DR

This paper uses the Janszky representation to analyze the interference of two modes at a beam splitter within the Schrödinger picture, providing a novel perspective on quantum state superpositions.

Contribution

It introduces a Schrödinger picture approach to beam splitter analysis using the Janszky representation, offering new insights into quantum interference phenomena.

Findings

Provides a natural Schrödinger picture description of beam splitter interference

Demonstrates the applicability of the Janszky representation to quantum optics

Enhances understanding of quantum superpositions in optical modes

Abstract

The Janszky representation constructs quantum states of a field mode as a superposition of coherent states on a line in the complex plane. We show that this provides a natural Schr\"{o}dinger picture description of the interference between a pair of modes at a beam splitter.