Tutorial: Quantum Information & Cold Atoms
Tutorial: Quantum Information & Cold Atoms
Tutorial: Quantum Information & Cold Atoms
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atoms cont.<br />
• superposition of the two ground states: coherent spin state<br />
1 2<br />
Bloch vector<br />
• quantum fluctuations<br />
S y a , Sz a iSx a<br />
S y a Sz a 1<br />
2 |S x a |<br />
we treat S x a classically and rescale<br />
X a , P a i X a P a 1<br />
2<br />
canonical communation relations<br />
1<br />
2<br />
|1 |2 N<br />
S a Sx a , Sy a , Sz a N a<br />
2 ,0,0<br />
x<br />
P a<br />
Bloch picture<br />
z<br />
X a<br />
| 46<br />
a dXa |XaX a y<br />
coherent spin state =vacuum state<br />
there are many cv quantum states<br />
around it:
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