Work

Wigner’s phase space current for variable beam splitters—seeing beam splitters in a new light

Year: 2024
Type: article
Abstract: Beam splitters allow us to superpose two continuous single-mode quantum systems. To study the behavior of their strong mode mixing dynamics, we consider variable beam splitters and their dynamics using Wigner’s phase space distribution, W , the evolution of which is governed by the continuity equation ∂∂ τ W =− ∇ ⋅ J . We derive the form of the corresponding Wigner current, J , of each outgoing mode after tracing out the other. The influence of the modes on each other is analyzed and visualized using their respective Wigner distributions and Wigner currents. This allows us to perform geometrical analyses of the mode interactions, casting new light on beam splitter behavior. Several of the presented results should be immediately testable in experiments.
Language: English
Open Access status: green
OpenAlex ID: W4404716906
FWCI: 0.319
Cites: 47
Cited by: 2
Related to: 10