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Fundamental characteristic property of particles which together with orbital angular momentum acts as the generator of rotations and which doesn't have a classical equivalent but is sometimes compared to and contrasted with classical intrinsic angular momentum.
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votes
0
answers
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How to plot the Zeeman splitting of a nucleus in a magnetic field
I have a system that is described by the Hamiltonian
$
H=A_Q(3I_z^2-I^2+\eta\frac{I_+^2-I_-^2}{2})-\gamma\hbar I.B_{ext}
$
where $I$ is the spin operator of a nucleus, $B_{ext}$ is the external field …
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votes
1
answer
658
views
Calculating the Rabi frequency of a pulse
If I apply a $\frac{π}{2}$ pulse of linewidth 5MHz centred at 99MHz to a nuclear spin also centred at 99MHz, is there a way to calculate a Rabi frequency of this interaction? I realise the Rabi freque …
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answers
2k
views
Off-resonant Rabi oscillations
If I have a laser field that causes Rabi oscillation of a two-level system, I can use the Hamiltonian
$H=-\frac{\Delta}{2}\sigma_z+\frac{\Omega}{2}\sigma_x$
where $\Omega$ is the Rabi frequency of t …
0
votes
1
answer
51
views
How can I calculate the total rotation a detuned pulse will apply a nuclear spin?
I'm trying to model the effect a radiofrequency pulse will have on a nuclear spin at different detunings. The pulse has a sech lineshape, a pulse area (time integral of the pulse envelope) of $\frac{π …
1
vote
0
answers
512
views
How to measure a qubit state?
I'm trying to work out how to do a non-demolition measurement on a qubit using an ancilla photon. I start with an entangled electron and nucleus in the state
$$ \frac{1}{\sqrt{2}}(\alpha|\uparrow\Dow …