InvertedOscillator

Dynamics of initial Fock states states in the inverted oscillator with a Kerr nonlinearity

clone as:

git clone https://github.com/djuliannader/InvertedOscillator.git

Data

This repository provides the scripts for the paper "Quantum signatures and classical limitations in the transmission of Fock states", by D. J. Nader. The paper is currently under review in Physical Review A.

The repository is currently being developed; please await its completion. The directory src contains Mathematica notebook for the semiclassical approximation TWA + P-positive and a julia script for the exact wigner function and transmission probabilities.

Environment Requirements

To run this repository, please make sure the following environment is available:

• LinearAlgebra (stdlib)
• HCubature
• QuantumOptics

Usage

To run the code, navigate to the /src folder and execute the corresponding file:

• Transmission probabilities and Wigner function

Edit the parameters in Probabilities_Fock.jl and run:

julia Probabilities_Fock.jl

• Absolute volume of the Wigner function in the classically forbiden region

Edit the parameters in Wigner_Volume.jl and run:

julia Wigner_Volume.jl