PONDEROMOTIVE ROTATOR: REQUIREMENTS Zach Korth (Caltech) GWADW 12 Waikoloa, HI.

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PONDEROMOTIVE ROTATOR: REQUIREMENTS Zach Korth (Caltech) – GWADW ‘12 – Waikoloa, HI

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Optomechanical dynamics Zach Korth - GWADW Waikoloa, HI - G

Transcript of PONDEROMOTIVE ROTATOR: REQUIREMENTS Zach Korth (Caltech) GWADW 12 Waikoloa, HI.

Page 1: PONDEROMOTIVE ROTATOR: REQUIREMENTS Zach Korth (Caltech)  GWADW 12  Waikoloa, HI.

PONDEROMOTIVE ROTATOR: REQUIREMENTSZach Korth (Caltech) – GWADW ‘12 – Waikoloa, HI

Page 2: PONDEROMOTIVE ROTATOR: REQUIREMENTS Zach Korth (Caltech)  GWADW 12  Waikoloa, HI.

The optomechanical advantage

Simple cavity: interference between optical pathways produces amplitude/phase shifts

Optomechanical cavity: Added pathway through mechanical system modification of dynamics

Zach Korth - GWADW 2012 - Waikoloa, HI - G1200568

Page 3: PONDEROMOTIVE ROTATOR: REQUIREMENTS Zach Korth (Caltech)  GWADW 12  Waikoloa, HI.

Optomechanical dynamics

Zach Korth - GWADW 2012 - Waikoloa, HI - G1200568

Page 4: PONDEROMOTIVE ROTATOR: REQUIREMENTS Zach Korth (Caltech)  GWADW 12  Waikoloa, HI.

Optomechanical dynamics

Zach Korth - GWADW 2012 - Waikoloa, HI - G1200568

Page 5: PONDEROMOTIVE ROTATOR: REQUIREMENTS Zach Korth (Caltech)  GWADW 12  Waikoloa, HI.

Sideband cooling

Upshifted SB is resonant Cooling limit: want

Zach Korth - GWADW 2012 - Waikoloa, HI - G1200568

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OMIT

Zach Korth - GWADW 2012 - Waikoloa, HI - G1200568

Introduce second, “probe” beam at Produces radiation pressure force at

laser beat frequency,

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OMIT

Zach Korth - GWADW 2012 - Waikoloa, HI - G1200568

RP force excites mechanical oscillator As it cools, it scatters a photon up by

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OMIT

Zach Korth - GWADW 2012 - Waikoloa, HI - G1200568

Optomechanical coupling rate:

To preserve quantum state, must have

Page 9: PONDEROMOTIVE ROTATOR: REQUIREMENTS Zach Korth (Caltech)  GWADW 12  Waikoloa, HI.

OMIT as a rotator

Zach Korth - GWADW 2012 - Waikoloa, HI - G1200568

FI squeezing FD squeezing

Page 10: PONDEROMOTIVE ROTATOR: REQUIREMENTS Zach Korth (Caltech)  GWADW 12  Waikoloa, HI.

Thermal noise

Zach Korth - GWADW 2012 - Waikoloa, HI - G1200568

FI squeezing FD squeezing SIGNAL

Pump detuning Rotation frequency

Thermal force spectrum

NOISE

Page 11: PONDEROMOTIVE ROTATOR: REQUIREMENTS Zach Korth (Caltech)  GWADW 12  Waikoloa, HI.

Thermal noise

Zach Korth - GWADW 2012 - Waikoloa, HI - G1200568

Need

Or,

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Solutions?

Zach Korth - GWADW 2012 - Waikoloa, HI - G1200568

One idea: optical dilution

Page 13: PONDEROMOTIVE ROTATOR: REQUIREMENTS Zach Korth (Caltech)  GWADW 12  Waikoloa, HI.

The End

Zach Korth - GWADW 2012 - Waikoloa, HI - G1200568

ANYONE HAVE ANY IDEAS? LET US KNOW!

Acknowledgements Haixing Miao Thomas Corbitt Amir Safavi-Naeini (O. Painter group, CIT)

References: Weis, et al., “Optomechanically induced transparency,” Science 330

(6010), 2010 Safavi-Naeini, et al., “Electromagnetically induced transparency and

slow light with optomechanics,” Nature 472, 2011 Corbitt, et al., “Optical Dilution and Feedback Cooling of a Gram-

Scale Oscillator to 6.9 mK,” Phys. Rev. Lett. 99 160801 (2007)