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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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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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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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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 …
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  • 187
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 …
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  • 187
1 vote
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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 …
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  • 187