Lectures on Quantum Optics and Quantum Information
Lectures on Quantum Optics and Quantum Information
Lectures on Quantum Optics and Quantum Information
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How to Generate Squeezed Light ?<br />
Squeezed light generati<strong>on</strong> requires the use<br />
of n<strong>on</strong>-linear effects. We focus here <strong>on</strong> the<br />
case of degenerate parametric interacti<strong>on</strong> in<br />
n<strong>on</strong>-linear (2) crystals.<br />
pump<br />
signal<br />
idler<br />
‘Degenerate’: signal <strong>and</strong> idler<br />
identical (frequency, polarizati<strong>on</strong>)<br />
• Hamilt<strong>on</strong>ian associated to this process (down c<strong>on</strong>versi<strong>on</strong> <strong>and</strong> up c<strong>on</strong>versi<strong>on</strong>):<br />
• It leads to the temporal evoluti<strong>on</strong><br />
• This gives for the quadratures after the interacti<strong>on</strong> :<br />
One quadrature is amplified while the<br />
orthog<strong>on</strong>al <strong>on</strong>e is deamplified.<br />
Degenerate case