Squeezing manipulation with atoms Eugeniy E. Mikhailov The College of William & Mary March 21, 2012 Eugeniy E. Mikhailov (W&M) Squeezing manipulation LSC-Virgo (March 21, 2012) 1 / 17
About the college of William and Mary Public Ivy Chartered on February 8, 1693, by King William III and Queen Mary II of England The second oldest college in America 6,071 undergraduates and 2,129 graduate students Eugeniy E. Mikhailov (W&M) Squeezing manipulation LSC-Virgo (March 21, 2012) 3 / 17
About Physics department 30 faculty members 40-60 undergraduates majoring in physics 60 graduate students brand new additional research labs wing with enhanced temperature stability Eugeniy E. Mikhailov (W&M) Squeezing manipulation LSC-Virgo (March 21, 2012) 4 / 17
Quantum optics group Our interests Squeezing generation Quantum memory prototypes Quantum enhanced magnetometers Squeezed state manipulation Eugeniy E. Mikhailov (W&M) Squeezing manipulation LSC-Virgo (March 21, 2012) 5 / 17
Quantum enhancing of GW interferometer Vacuum input laser Eugeniy E. Mikhailov (W&M) Squeezing manipulation LSC-Virgo (March 21, 2012) 6 / 17
Quantum enhancing of GW interferometer Vacuum input Squeezed input laser laser Eugeniy E. Mikhailov (W&M) Squeezing manipulation LSC-Virgo (March 21, 2012) 6 / 17
Interferometer sensitivity improvement with squeezing A quantum-enhanced prototype gravitational-wave detector, Nature Physics, 4, 472-476, (2008). Projected advanced LIGO sensitivity LIGO-T1100309-v5 General filtering requirements: Narrow resonance (< 1 khz) and high transmission ( 100%) Eugeniy E. Mikhailov (W&M) Squeezing manipulation LSC-Virgo (March 21, 2012) 7 / 17
Electromagnetically Induced Transparency (EIT) 1 Probe transparency dependence on its detuning. a Transparency [Arb. Unit] 0.8 0.6 0.4 0.2 ω p 0-100 -50 0 50 100 Probe detuning [Arb. Unit] c b ω bc Eugeniy E. Mikhailov (W&M) Squeezing manipulation LSC-Virgo (March 21, 2012) 8 / 17
Electromagnetically Induced Transparency (EIT) Probe transparency dependence on its detuning. a Probe transparency dependence on its detuning. 1 1 Transparency [Arb. Unit] 0.8 0.6 0.4 0.2 ω p ω d Transparency [Arb. Unit] 0.8 0.6 0.4 0.2 0-100 -50 0 50 100 Probe detuning [Arb. Unit] b ω bc c 0-100 -50 0 50 100 Probe detuning [Arb. Unit] Eugeniy E. Mikhailov (W&M) Squeezing manipulation LSC-Virgo (March 21, 2012) 8 / 17
Electromagnetically Induced Transparency (EIT) Probe transparency dependence on its detuning. a Probe transparency dependence on its detuning. 1 1 Transparency [Arb. Unit] 0.8 0.6 0.4 0.2 ω p ω d Transparency [Arb. Unit] 0.8 0.6 0.4 0.2 0-100 -50 0 50 100 Probe detuning [Arb. Unit] b ω bc c 0-100 -50 0 50 100 Probe detuning [Arb. Unit] Eugeniy E. Mikhailov, Keisuke Goda, Thomas Corbitt, Nergis Mavalvala, Frequency-dependent squeeze-amplitude attenuation and squeeze-angle rotation by electromagnetically induced transparency for gravitational-wave interferometers, Physical Review A, 73, 053810, (2006). Eugeniy E. Mikhailov (W&M) Squeezing manipulation LSC-Virgo (March 21, 2012) 8 / 17
Cavity vs atomic filters Cavity filters Pros Cons well understood within current technology large even with super mirrors with typical size larger than 10 m require active stabilization require good seismic and other noise sources isolation super expensive Atomic filters Pros Cons small in size (10 cm) resonance position is stable noise isolation requirements are low economical Non existing at current LIGO wavelength (i.e. 1064 nm) Eugeniy E. Mikhailov (W&M) Squeezing manipulation LSC-Virgo (March 21, 2012) 9 / 17
Proposed research development atomic amplitude squeezing filters characterization of the slow and fast group velocity of squeezing or coherent light propagation through atomic ensembles experimental studies of modification and back action of atoms on light quantum noise development and improvement of economical squeezing sources (though not at current designs wavelength) suitable for prototype testing Most of above activities are outlined as TODO in the LIGO-T1100309 document Eugeniy E. Mikhailov (W&M) Squeezing manipulation LSC-Virgo (March 21, 2012) 10 / 17
Atomic low frequency squeezing source Noise power (dbm) -68-70 -60-72 -65-74 -70-76 -75 (b) -78-80 -80-85 (a) -82 0 0.2 0.4 0.6 0.8 1 (b) -84-86 (a) 0 250 500 750 1000 Frequency (khz) Eugeniy E. Mikhailov (W&M) Squeezing manipulation LSC-Virgo (March 21, 2012) 11 / 17
Squeezing and EIT filter setup Eugeniy E. Mikhailov (W&M) Squeezing manipulation LSC-Virgo (March 21, 2012) 12 / 17
Squeezing and EIT filter setup Eugeniy E. Mikhailov (W&M) Squeezing manipulation LSC-Virgo (March 21, 2012) 12 / 17
Wide EIT filter and squeezing a ωp Peak ω d transmission = 52% b ω bc c FWHM= 4MHz 10 Input anti-squeezed noise Noise power (db) 8 6 4 2 0 2 (i) attenuated (iii) (v) (vi) (iv) (ii) 0.5 1.0 1.5 Noise frequency (MHz) 2.0 Calculated anti-squeezed Measured anti-squeezed Measured squeezed noise Calculated squeezed noise Input squeezed noise Eugeniy E. Mikhailov (W&M) Squeezing manipulation LSC-Virgo (March 21, 2012) 13 / 17
Narrow EIT filter and squeezing a ωp Peak ω d transmission = 50% b ω bc c FWHM= 2MHz 10 Input anti-squeezed noise Noise power (db) 8 6 4 2 0 2 filtered (iii) (v) (vi) (iv) (ii) 0.5 1.0 1.5 2.0 Noise frequency (MHz) (i) Calculated anti-squeezed Measured anti-squeezed Measured squeezed noise Calculated squeezed noise Input squeezed noise Eugeniy E. Mikhailov (W&M) Squeezing manipulation LSC-Virgo (March 21, 2012) 14 / 17
Squeezing angle rotation θ θ X 2 X 2 X 1 Locked at 300kHz Locked at 1200kHz X 1 Eugeniy E. Mikhailov (W&M) Squeezing manipulation LSC-Virgo (March 21, 2012) 15 / 17
Delay and advancement of squeezing 2 Delay vs laser power 1.5 1 0.5 Delay (us) 0 0.5 1 1.5 2 2.5 0 2 4 6 8 10 12 14 Laser power (mw) Eugeniy E. Mikhailov (W&M) Squeezing manipulation LSC-Virgo (March 21, 2012) 16 / 17
Conclusion I hope you favor my group application and find proposed research directions suitable to improve further generation of the GW antennas. Eugeniy E. Mikhailov (W&M) Squeezing manipulation LSC-Virgo (March 21, 2012) 17 / 17