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Iones atrapados y Super-resolución

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Como se ven normalmente los iones atrapados:

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La resolucion optica siempre esta limitada por difraccion:      
Untitled-2_6.png = Untitled-2_7.png

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Que hay hecho en esta dirección:



Untitled-2_9.gifUntitled-2_10.gifLa posicion se puede medir muy bien!








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Que podriamos observar? Un ion en un estado termico

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Untitled-2_13.png = Untitled-2_14.png + Untitled-2_15.png Untitled-2_16.png + Untitled-2_17.png                ⇒        {|n>}             

Estados termicos:   ρ = Untitled-2_18.png   ⇒   caracterizados por una temperatura T y un   Untitled-2_19.png = Untitled-2_20.png                     
σ   =   Untitled-2_21.png                  

Por ejemplo, el enfriamiento Doppler permite llegar a Untitled-2_22.png ∼ 0.5mK.  Con ω = 2π x 1MHz     
⇒     σ   ∼  60 nm          



De hecho, como el tamaño del paquete depende de la temperatura, se puede hacer lo siguiente:

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Mejor aún: estados de Fock!

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Como tratar de ver eso?

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Como hacemos eso un un ion atrapado: oscilaciones de Rabi

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                                                                                 Secuencia de medicion:
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Entonces la idea es hacer algo asi:

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Untitled-2_37.gif   Untitled-2_38.gif

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Una medicion de esto

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Ahora en realidad el ion no es puntual

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Sideband cooling

Para enfriar mas alla del limite Doppler: sideband cooling   Untitled-2_47.gif  Untitled-2_48.gif
Ademas, en realidad Untitled-2_49.png depende tambien de Untitled-2_50.png y eso da metodos para una vez preparado un estado, medir su temperatura midiendo Untitled-2_51.png( Untitled-2_52.png)

Esto permite hacer: Untitled-2_53.gif













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Figuras del trabajo