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http://www.umich.edu/aehardt Developing a Portable Optical Frequency Standard with Atomic Mercury K.R. Moore , E.A. Alden*, A.E. Leanhardt* Leanhardt Lab Applied Physics Program, University of Michigan * Physics Department, University of Michigan June 6, 2012 DAMOP XLIII, Anaheim CA

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Page 1: Developing a Portable Optical Frequency Standard with ...kaimoore/HgPresentationDAMOP2012.pdf · •Compact, solid-state set-up for an optical clock •Limited by collisional broadening,

http://www.umich.edu/aehardt

Developing a Portable Optical

Frequency Standard

with Atomic Mercury

K.R. Moore†, E.A. Alden*, A.E. Leanhardt* Leanhardt Lab

†Applied Physics Program, University of Michigan

*Physics Department, University of Michigan

June 6, 2012 DAMOP XLIII, Anaheim CA

Page 2: Developing a Portable Optical Frequency Standard with ...kaimoore/HgPresentationDAMOP2012.pdf · •Compact, solid-state set-up for an optical clock •Limited by collisional broadening,

http://www.umich.edu/aehardt

Overview

June 6, 2012 DAMOP XLIII, Anaheim CA

• Hg frequency standard for a hot optical clock

• Limiting broadening mechanism contributing

to fractional frequency uncertainty

• Schemes for detecting population in clock state

Page 3: Developing a Portable Optical Frequency Standard with ...kaimoore/HgPresentationDAMOP2012.pdf · •Compact, solid-state set-up for an optical clock •Limited by collisional broadening,

http://www.umich.edu/aehardt

Frequency Standards

June 6, 2012 DAMOP XLIII, Anaheim CA

Δν: Linewidth of system

ν: Frequency of sampling probe

T: Duty cycle of experiment

τ: Total experiment time

N: Sample size per duty cycle

•* denotes theorized values not experimentally realized

•References available

• Fractional frequency uncertainty:

Page 4: Developing a Portable Optical Frequency Standard with ...kaimoore/HgPresentationDAMOP2012.pdf · •Compact, solid-state set-up for an optical clock •Limited by collisional broadening,

http://www.umich.edu/aehardt

Frequency Standard with Atomic Hg

June 6, 2012 DAMOP XLIII, Anaheim CA

[1] Calculated, natural abundance: A.P.

Mishra and T.K. Balasubramamian.

JQSRT 69, 769 - 780 (2001)

τ =5.78s [1]

3P0

3P1

1S0 531nm

531nm Δν: Linewidth of system

ν: Frequency of sampling probe

T: Duty cycle of experiment

τ: Total experiment time

N: Sample size per duty cycle

• Fractional frequency uncertainty:

Page 5: Developing a Portable Optical Frequency Standard with ...kaimoore/HgPresentationDAMOP2012.pdf · •Compact, solid-state set-up for an optical clock •Limited by collisional broadening,

http://www.umich.edu/aehardt

Δν: Linewidth of system

ν: Frequency of sampling probe

T: Duty cycle of experiment

τ: Total experiment time

N: Sample size per duty cycle

• Fractional frequency uncertainty:

Frequency Standard with Atomic Hg

June 6, 2012 DAMOP XLIII, Anaheim CA

[1] Calculated, natural abundance: A.P.

Mishra and T.K. Balasubramamian.

JQSRT 69, 769 - 780 (2001)

τ =5.78s [1]

3P0

3P1

1S0 531nm

531nm

Page 6: Developing a Portable Optical Frequency Standard with ...kaimoore/HgPresentationDAMOP2012.pdf · •Compact, solid-state set-up for an optical clock •Limited by collisional broadening,

http://www.umich.edu/aehardt

Δν: Linewidth of system

ν: Frequency of sampling probe

T: Duty cycle of experiment

τ: Total experiment time

N: Sample size per duty cycle

• Fractional frequency uncertainty:

Frequency Standard with Atomic Hg

June 6, 2012 DAMOP XLIII, Anaheim CA

Hg atoms

Laser

E

E

• Eliminate first-order Doppler

broadening of the linewidth

Page 7: Developing a Portable Optical Frequency Standard with ...kaimoore/HgPresentationDAMOP2012.pdf · •Compact, solid-state set-up for an optical clock •Limited by collisional broadening,

http://www.umich.edu/aehardt

• Limitations due to portability:

Broadening: Collisions

Broadening: Laser power amplification

June 6, 2012 DAMOP XLIII, Anaheim CA

System Portability

• Portability:

Vapor cell atomic source:

Solid-state compact laser:

60. Col kHz

?. Las

Cell temperature: 60ºC

Page 8: Developing a Portable Optical Frequency Standard with ...kaimoore/HgPresentationDAMOP2012.pdf · •Compact, solid-state set-up for an optical clock •Limited by collisional broadening,

http://www.umich.edu/aehardt

Laser Characterization

Seed Laser:

20 mW

1062 nm

Δν = 914 Hz*

Amplifier:

50 W

1062 nm

Δν ≤ ?

June 6, 2012 DAMOP XLIII, Anaheim CA

*measured by

Orbits Lightwave

SHG:

6 W

531 nm

Δν2 212 input

Page 9: Developing a Portable Optical Frequency Standard with ...kaimoore/HgPresentationDAMOP2012.pdf · •Compact, solid-state set-up for an optical clock •Limited by collisional broadening,

http://www.umich.edu/aehardt

Laser Characterization

Seed Laser:

20 mW

1062 nm

Δν = 914 Hz*

Amplifier:

50 W

1062 nm

Δν ≤ ?

June 6, 2012 DAMOP XLIII, Anaheim CA

*measured by

Orbitz Lightwave

SHG:

6 W

531 nm

Δν2 212 input

Page 10: Developing a Portable Optical Frequency Standard with ...kaimoore/HgPresentationDAMOP2012.pdf · •Compact, solid-state set-up for an optical clock •Limited by collisional broadening,

http://www.umich.edu/aehardt

Laser Characterization

From Seed

Beat Note:

1MHz

• Shifting the laser frequency in a Mach-Zender interferometer results in a

beat note centered at a down-converted frequency.

June 6, 2012 DAMOP XLIII, Anaheim CA

AOM

AOM

Page 11: Developing a Portable Optical Frequency Standard with ...kaimoore/HgPresentationDAMOP2012.pdf · •Compact, solid-state set-up for an optical clock •Limited by collisional broadening,

http://www.umich.edu/aehardt

Laser Characterization

From Seed

June 6, 2012 DAMOP XLIII, Anaheim CA

AOM

AOM

• Shifting the laser frequency in a Mach-Zender interferometer results in a

beat note centered at a down-converted frequency.

Page 12: Developing a Portable Optical Frequency Standard with ...kaimoore/HgPresentationDAMOP2012.pdf · •Compact, solid-state set-up for an optical clock •Limited by collisional broadening,

http://www.umich.edu/aehardt

Laser Characterization

June 6, 2012 DAMOP XLIII, Anaheim CA

Hz

His

t. C

ou

nts

Linewidth:

12.1±6.1Hz

• A delay line is required to verify the actual linewidth.

• The relative broadening between the seed-seed beat note and the seed-

amplified beat note can be measured to some limit.

• Beat note, example data set:

Beat

Seed

with

Seed:

Page 13: Developing a Portable Optical Frequency Standard with ...kaimoore/HgPresentationDAMOP2012.pdf · •Compact, solid-state set-up for an optical clock •Limited by collisional broadening,

http://www.umich.edu/aehardt

Laser Characterization

From Seed

Beat Note:

1MHz

June 6, 2012 DAMOP XLIII, Anaheim CA

AOM

AOM

• In place of the amplifier, external noise is artificially applied to one arm

of the interferometer.

Page 14: Developing a Portable Optical Frequency Standard with ...kaimoore/HgPresentationDAMOP2012.pdf · •Compact, solid-state set-up for an optical clock •Limited by collisional broadening,

http://www.umich.edu/aehardt

Laser Characterization

From Seed

Beat Note:

1MHz Artificial

Noise

• In place of the amplifier, external noise is artificially applied to one arm

of the interferometer.

June 6, 2012 DAMOP XLIII, Anaheim CA

AOM

AOM

Page 15: Developing a Portable Optical Frequency Standard with ...kaimoore/HgPresentationDAMOP2012.pdf · •Compact, solid-state set-up for an optical clock •Limited by collisional broadening,

http://www.umich.edu/aehardt

kHz

Am

pl.

(a.

u.)

kHz

Am

pl.

(a.

u.)

Laser Characterization

June 6, 2012 DAMOP XLIII, Anaheim CA

Linewidth:

12.1±6.1Hz

Beat

Seed

with

Artificial

Noise (50mV):

• Beat note, example data set:

Beat

Seed

with

Seed:

Linewidth:

2.7±0.5kHz

Page 16: Developing a Portable Optical Frequency Standard with ...kaimoore/HgPresentationDAMOP2012.pdf · •Compact, solid-state set-up for an optical clock •Limited by collisional broadening,

http://www.umich.edu/aehardt

Laser Characterization

From Seed

Beat Note:

1MHz Artificial

Noise

June 6, 2012 DAMOP XLIII, Anaheim CA

AOM

AOM

• Shifting the laser frequency in a Mach-Zender interferometer results in a

beat note centered at a down-converted frequency.

Page 17: Developing a Portable Optical Frequency Standard with ...kaimoore/HgPresentationDAMOP2012.pdf · •Compact, solid-state set-up for an optical clock •Limited by collisional broadening,

http://www.umich.edu/aehardt

Laser Characterization

From Seed

Beat Note:

1MHz

• Shifting the laser frequency in a Mach-Zender interferometer results in a

beat note centered at a down-converted frequency.

June 6, 2012 DAMOP XLIII, Anaheim CA

AOM

AOM

Page 18: Developing a Portable Optical Frequency Standard with ...kaimoore/HgPresentationDAMOP2012.pdf · •Compact, solid-state set-up for an optical clock •Limited by collisional broadening,

http://www.umich.edu/aehardt

Laser Characterization

From Seed

Beat Note:

1MHz

AOM

AOM

Amplifier

June 6, 2012 DAMOP XLIII, Anaheim CA

• Shifting the laser frequency in a Mach-Zender interferometer results in a

beat note centered at a down-converted frequency.

Page 19: Developing a Portable Optical Frequency Standard with ...kaimoore/HgPresentationDAMOP2012.pdf · •Compact, solid-state set-up for an optical clock •Limited by collisional broadening,

http://www.umich.edu/aehardt

kHz

Am

pl.

(a.

u.)

kHz

Am

pl.

(a.

u.)

Laser Characterization

June 6, 2012 DAMOP XLIII, Anaheim CA

Beat

Seed

with

Amplified

Light (14.2W):

• Beat note, example data set:

Beat

Seed

with

Seed:

Linewidth:

12.1±6.1Hz

Linewidth:

7.2±3.6Hz

Page 20: Developing a Portable Optical Frequency Standard with ...kaimoore/HgPresentationDAMOP2012.pdf · •Compact, solid-state set-up for an optical clock •Limited by collisional broadening,

http://www.umich.edu/aehardt

Laser Characterization

June 6, 2012 DAMOP XLIII, Anaheim CA

• After replacing the amplifier in the system, measurements show no

systematic change in the linewidth of the beat note.

ΔL

inew

idth

[H

z]

IR Power [W]

• Increasing amplifier power:

Page 21: Developing a Portable Optical Frequency Standard with ...kaimoore/HgPresentationDAMOP2012.pdf · •Compact, solid-state set-up for an optical clock •Limited by collisional broadening,

http://www.umich.edu/aehardt June 6, 2012 DAMOP XLIII, Anaheim CA

Broadening Mechanisms

• Theorized values for other broadening mechanisms:

Cell temperature: 60ºC | Spot size: 500 μm | Green power: 6 W

Page 22: Developing a Portable Optical Frequency Standard with ...kaimoore/HgPresentationDAMOP2012.pdf · •Compact, solid-state set-up for an optical clock •Limited by collisional broadening,

http://www.umich.edu/aehardt June 6, 2012 DAMOP XLIII, Anaheim CA

Broadening Mechanisms

• Theorized values for other broadening mechanisms:

Cell temperature: 60ºC | Spot size: 500 μm | Green power: 6 W

Page 23: Developing a Portable Optical Frequency Standard with ...kaimoore/HgPresentationDAMOP2012.pdf · •Compact, solid-state set-up for an optical clock •Limited by collisional broadening,

http://www.umich.edu/aehardt June 6, 2012 DAMOP XLIII, Anaheim CA

Broadening Mechanisms

• Theorized values for other broadening mechanisms:

Cell temperature: 60ºC | Spot size: 500 μm | Green power: 6 W

Page 24: Developing a Portable Optical Frequency Standard with ...kaimoore/HgPresentationDAMOP2012.pdf · •Compact, solid-state set-up for an optical clock •Limited by collisional broadening,

http://www.umich.edu/aehardt June 6, 2012 DAMOP XLIII, Anaheim CA

Broadening Mechanisms

• Theorized values for other broadening mechanisms:

Cell temperature: 60ºC | Spot size: 500 μm | Green power: 6 W

Duty Cycle: 1/T < 0.1 Hz | Number of interacting atoms: N ≈ 6×1012

Page 25: Developing a Portable Optical Frequency Standard with ...kaimoore/HgPresentationDAMOP2012.pdf · •Compact, solid-state set-up for an optical clock •Limited by collisional broadening,

http://www.umich.edu/aehardt June 6, 2012 DAMOP XLIII, Anaheim CA

Broadening Mechanisms

• Theorized values for other broadening mechanisms:

Cell temperature: 60ºC | Spot size: 500 μm | Green power: 6 W

Duty Cycle: 1/T < 0.1 Hz | Number of interacting atoms: N ≈ 6×1012

2/11610

Page 26: Developing a Portable Optical Frequency Standard with ...kaimoore/HgPresentationDAMOP2012.pdf · •Compact, solid-state set-up for an optical clock •Limited by collisional broadening,

http://www.umich.edu/aehardt

Proof-of-Principle Outlook

• Detect population in

the 3P0 level using:

• Known cascade with

NH3 buffer gas[1]

• Excite to the 3S1 level

with 405nm, detect

radiative decay[2]

June 6, 2012 DAMOP XLIII, Anaheim CA

[1] C.G. Freeman, M.J. McEwan, R.F.C. Claridge and L.F. Phillips.

Trans. Faraday Soc., 1971,67, 2004-2008

[2] E. C. Benck, J. E. Lawler and J. T. Dakin. JOSAB 6, 11 (1989)

63P0

61S0

531nm

531nm

63P2

61P1

63P1

73S1

405nm

Page 27: Developing a Portable Optical Frequency Standard with ...kaimoore/HgPresentationDAMOP2012.pdf · •Compact, solid-state set-up for an optical clock •Limited by collisional broadening,

http://www.umich.edu/aehardt

Summary

• Compact, solid-state set-up for an optical clock

• Limited by collisional broadening, which

could lead to a fractional frequency stability of

σν ≈ 10-16 ×√τ.

• Outlook for detecting population

June 6, 2012 DAMOP XLIII, Anaheim CA

Page 28: Developing a Portable Optical Frequency Standard with ...kaimoore/HgPresentationDAMOP2012.pdf · •Compact, solid-state set-up for an optical clock •Limited by collisional broadening,

http://www.umich.edu/aehardt

Acknowledgements

June 6, 2012 DAMOP XLIII, Anaheim CA

Aaron

Leanhardt

Skyler

Degenkolb Yisa

Rumala

Jeongwon

Lee Emily

Alden Kaitlin

Moore

• Funding:

DARPA/ARO

• Dept. of Physics,

University of

Michigan

• Applied Physics

Program, Univ-

ersity of Michigan

Tim

Chupp

Page 29: Developing a Portable Optical Frequency Standard with ...kaimoore/HgPresentationDAMOP2012.pdf · •Compact, solid-state set-up for an optical clock •Limited by collisional broadening,

http://www.umich.edu/aehardt

Standards References

June 6, 2012 DAMOP XLIII, Anaheim CA

[1]

[2]

[3]

[4]

[5]

[6]

[7]

[8]

[9]

[10]

[11]

D. McKenna, C. Tanner. Progress toward a two-photon optical atomic clock in neutral

silver. Abstract submitted for the DAMOP12 Meeting of APS (K1.00140), January 2012.