hbar units in hamiltonian and master equation.

[sofomryu]

I'm confused when to use hbar or not in qutip.

I'm using qutip to simulate lindblad form of master equation. Let's say I have two level system which decay with gamma.
The hamiltonian and master equation is given as following. and w0 is frequency difference between ground state and excited states.

H= hbar*w0*sigma^dag*sigma
dp/dt = -i/hbar * [H,p] + gamma*(2*sigma*p*sigma^dag-sigma^dag*sigma*p-p*sigma^dag*sigma) 

To implement this in qutip, I have to set hamiltonian(H) and lindblad term to calculate steady state density states.

H=hbar*w0*sigma^dag*sigma
Decay = gamma*lindblad_dissipator(sigma,sigma)
p_ss=steadystates(H,Decay)

Here, is it right to set gamma as 'Hz' unit? It should be 'Hz' principly, However, in qutip tutorials, they seem to set gamma also as energy scale, which hbar*gamma should be instead of gamma.