I want to study the dynamic evolution of an atomic ensemble with $N$ atoms, and the master equation of the system is:
where the $\hat{H}$ is:
So I try to solve it with the QuantumCumulants v0.3.1.
Code
using QuantumCumulants, OrdinaryDiffEq
using ModelingToolkit, DelimitedFiles
using Symbolics
@cnumbers λ N ξ η;
h = SpinSpace("spinspace")
Jx = Spin(h,"J1",1)
Jy = Spin(h,"J1",2)
Jz = Spin(h,"J1",3)
Jm = Jx - 1im*Jy
Jp = Jx + 1im*Jy
H = -ξ*λ^2/N*(N^2/4-Jz^2)
J = [Jm]
rates = [2*η*λ^2/N]
ops = [Jx]
eqs = meanfield(ops,H,J,rates = rates,order=2)
Model
I want to study the dynamic evolution of an atomic ensemble with $N$ atoms, and the master equation of the system is:
where the $\hat{H}$ is:
So I try to solve it with the QuantumCumulants v0.3.1.
Code
And the outcome is:
How to simplify the number $N$ of atom.