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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

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