Episode #125 of the Stack Overflow podcast is here. We talk Tilde Club and mechanical keyboards. Listen now

# Return to Revisions

5 of 9 Added context/references

# Which component shows spin squeezing under twisting Hamiltonian?

Given a many body spin system under the action of the twisting Hamiltonian: $$H = A J_{z}^{2}$$ where $$N$$ is the number of spins, $$\mathbf{J} = \sum_{n=1}^{N} \mathbf{S}_{n}$$ is the collective spin operator, $$\mathbf{S}_{n}$$ is the spin operator for the $$n$$th spin, and $$A$$ characterizes the strength.

Which component of the spin system will display reduced variance/will be squeezed? Can you answer this without assumptions on the initial state? Can it be answered for the case $$\langle J_{z} \rangle=0$$?

The context of the question is the notion of spin squeezed states, as originally put forward by Wineland et al. and Kitagawa & Ueda

 asked Feb 21 '14 at 20:14 Sander 3155 bronze badges