The Yb lattice clock (and others!) at NIST for space-based applications

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The Yb lattice clock (and others!) at NIST for space-based applications Andrew Ludlow, Jeff Sherman, Nathan Hinkley, Nate Phillips, Kyle Beloy, Nathan Lemke, and Chris Oates National Institute of Standards and Technology, Boulder, CO USA Special thanks to: NIST Fs-laser team: Scott Diddams, Tara Fortier, Frank Quinlan et al. NIST Ion team: Jim Bergquist, Till Rosenband, Dave Wineland and colleagues NIST Cs team: Steve Jefferts, Tom Heavner, Tom Parker, Stefania Romisch JILA folks: Ana Maria Rey, Jun Ye, and colleagues Significant past contributors: Leo Hollberg, Nicola Poli, Marco Pizzocaro, Valera Yudin, Alexei Taichenachev, Zeb Barber, Chad Hoyt, Yanyi Jiang, L-S Ma

NIST Space Clock Support Capabilities TWSTFT GPS MWL Ground Station Cs fountains NIST Timescale fiber fiber NIST Optical Clocks Frequency combs JILA Sr lattice clocks

NIST Timescale and UTC(NIST) 4 Cesium Beam standards 8 more by 2014 MWL UTC(NIST) 6 Hydrogen Masers 8 more by 2014 Two-way satellite time & frequency transfer Calibrated by NIST-F1 primary frequency standard Measurement System New digital system under development GPS International coordination of time and frequency: UTC, TAI, etc.

NIST MWL Ground Station - Status 10m Cable tray Service pallet Radome pallet Radome pallet dimension: 1.6m(L)x1.6m(W)x1.9m(H) weight: < 240kg Mounted on flat surface (3 bolts) Power requirement (for both pallets): 110VAC or 220VAC on emergency power 11kW Service pallet dimension: 1.7m(L)x1m(W)x1.7m(H) weight: < 650kg Mounted on flat surface (8 bolts) Update Location selected Delivery of MWL hardware expected in 2014

Building blocks of an atomic clock Feedback System Locks Oscillator to atomic resonance Detector Oscillator E = h Atoms/Molecules Identical Ageless High Q Can be isolated from environment υ Counter 456 986 240 494 135

Characterization of clock signals - definitions Stability how much the frequency changes over a specified time interval y 0 N C Optical clocks have much higher! Accuracy two meanings: (1) How well the signal produces an exact frequency in terms of the SI second (2) How well the standard represents the natural frequency of the atomic transition - Uncertainty Both important relative importance depends on the application!

NIST-F1 Cs Fountain Microwave Clock Primary Frequency Standard for the United States 1 second is defined as the duration of 9,192,631,770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the 133 Cs atom. NIST-F1 laser-cooled cesium primary frequency standard Current in house frequency uncertainty f/f ~ 3 x 10-16.

NIST-F2 Cs Fountain Microwave Clock Next Generation Microwave Primary Frequency Standard Cryogenic drift tube to reduce blackbody shift. Multitoss atom ball launch to reduce collisional shifts. Expected uncertainty f/f ~ 1 x 10-16 or better. Height above molasses region - m 2.0 1.5 1.0 0.5 0.0 0.0 0.5 1.0 1.5 2.0 2.5 Ramsey Cavity Detection Region Time - seconds

Optical atomic clock performance - uncertainty 1.E-09 1.E-10 IR Optical Fractional Frequency Uncertainty 1.E-11 1.E-12 1.E-13 1.E-14 1.E-15 1.E-16 1.E-17 State-of-the-art Cs microwave 1.E-18 1970 1975 1980 1985 1990 1995 2000 2005 Year 2010 2015

Building blocks of an atomic clock Feedback System Locks Oscillator to atomic resonance Detector E = h υ Oscillator Counter 456 986 240 494 135

Building blocks of an atomic clock Feedback System Locks Oscillator to atomic resonance Detector E = h υ

Building blocks of an optical atomic clock Feedback System Locks Oscillator to atomic resonance Detector E = h υ Laser Laser linewidth ~ 1 Hz Fs-laser 456 986 240 494 135 High-Q resonator

High stability of optical clocks

Two types of optical atomic clocks Trapped ions: Al+, Hg+, Yb+, Sr+ Ion traps suppress motional effects Exc. immunity to environmental effects ( / 0 <10-17!) Limited S/N ratio typically one clock ion Neutral atoms: Sr, Yb, Hg Need to use laser traps for tight confinement Good immunity to environmental effects Potential for very high stability

Comparison of Hg + and Al + Clocks at NIST 1126 nm laser fiber 1070 nm laser 2 2 fiber 2 2 199 Hg + f b,hg f b,al 27 Al + 9 Be + Al Hg n f rep + f ceo m f rep + f ceo 1.052 871 833 148 990 438 ± 5.5 x 10-17

Al + quantum logic clock most accurate in the world / 0 = 8.6 x 10-18

Relativistic geodesy 1 part in 10 18 corresponds to 1 cm displacement Use 1 fixed clock and 1 clock in the field to map out g What about gravitational fluctuations (Kleppner)? 10-20 cm/day

Advantages of an optical lattice Confine neutral atoms in ion-like environment Tight confinement Doppler & recoil free Long interaction time high Q Large numbers (~10 4 ) high S/N ~ 20 lattice clocks around the world (Sr, Yb, and Hg)! H. Katori, M. Takamoto, M., V. G. Pal'chikov, et al., PRL 91, 173005 (2003)

NIST Optical Frequency Standards Optical Lattice Clocks Ytterbium (NIST) Strontium (JILA) ~ 10-16, rapidly improving

Lattice clocks based on neutral ytterbium 1 st stage cooling and detection λ = 399 nm Δν = 34 MHz 1 P 1 2 nd stage cooling 3 P 1 1 S 0 λ = 556 nm Δν = 180 khz 3 P 0 clock λ = 578 nm Δν = ~0 174 Yb 15 mhz 171 Yb, 173 Yb - Many abundant isotopes, different spins (I = 0, 1/2, 5/2) - Today we focus on NIST-based experiments on 171 Yb (I = 1/2)

Lasers for the Yb lattice clock 798 nm MOPA+PPKTP 1112 nm fiber laser + PPLN waveguide hollow cathode 399 nm Yb trap 556 nm ULE cavity P~40 mw P~10 mw 1030 nm fiber laser,1319 nm Nd:YAG + PPLN waveguide vertical ULE cavity AOM 578 nm P ~ 10 mw 759 nm P ~ 1 W Ca, etc. ECDL+ Ti:Sa Frequency comb

Lattice clock measurement sequence 399 nm MOT 60 ms 556 nm MOT 80 ms Probe atoms in lattice ~ 80 ms Norm. shelving detection 40 ms N ~ 10 6 T ~ 5 mk N ~ 10 6 T ~ 50 μk N ~ 10 4 T ~ 15 μk λ lattice Optical pumping 60 ms λ probe

Trapped Yb atoms

Improved Laser stabilization: LO sub-hz linewidth lasers Optical power (a. u.) 1.0 0.8 0.6 0.4 0.2 RBW: 85 mhz ~ 250 mhz 0.0-2 -1 0 1 2 laser frequency (Hz) Jiang et al, Nature Photonics 5 160 (2011)

Sub-Hz optical spectroscopy 900 ms probe time Δν = 1 Hz Q = 5 x 10 14 Jiang et al, Nature Photonics 5 160 (2011)

Two Yb lattice clocks - comparisons A second Yb lattice clock system Clock spectroscopy Excitation 5 Hz

High stability of optical clocks

1.8 x 10-18 instability for the Yb lattice clock 3 x 10-16 τ -1/2 Necessary to control collision effects and have clean lattice spectra! STE-QUEST

Frequency uncertainty for NIST Yb clock Effect Shift (10-16 ) Uncertainty (10-16 ) Blackbody -25.0 2.5 Lattice polarizability 3.7 2.1 Cold Collisions -16.1 0.8 First-order Zeeman 0.4 0.4 Second-order Zeeman -1.7 0.1 Probe light 0.05 0.2 AOM phase chirp 0 0.1 Others 0 0.1 Total -38.7 3.4 Systematic Total: 3.4 x 10 16 Lemke et al, PRL 103, 063001 (2009)

Transition frequency uncertainty Effect Shift (10-16 ) Uncertainty (10-16 ) Blackbody -25.0 0.3 Lattice polarizability 3.7 2.1 Cold Collisions 0 0.005 First-order Zeeman 0.4 0.4 Second-order Zeeman -1.7 0.1 Probe light 0.05 0.2 AOM phase chirp 0 0.1 Others 0 0.1 Total -38.7 3.4 Good prospects for a Yb lattice clock at ~ 10-17

Reducing the uncertainty further What s next. A build-up cavity to enhance (temporarily!) lattice-based shifts and reduce density A temperature-controlled chamber to minimize BBR uncertainties

Conclusions and future prospects NIST is preparing for the ACES mission (STE QUEST)? Stability of optical clocks far surpasses all others, and optical lattice clocks are designed for high stability 1.8x10-18 in 20,000 s In the near future there will be many different clocks at 10-17 level, many of which will be striving for the 10-18 s Key questions: Key issues: BBR shift, lattice light shifts How do we handle gravity at the 10-18 level? (QUEST?) How do compare remote clocks < 10-16 level? (ACES, QUEST?) How best to space qualify optical clocks (SOC)?

Acknowledments Yb Clock Present: Andrew Ludlow, Nathan Lemke, Jeff Sherman, Rich Fox, Nathan Hinkley, Kyle Beloy, Nate Phillips Past: Zeb Barber, Yanyi Jiang, Marco Pizzocaro, Nicola Poli, Jason Stalnaker, Chad Hoyt, Leo Hollberg Frequency Comb Tara Fortier, Matt Kirchner, Scott Diddams, et al Al +, Hg + Clocks Jim Bergquist, Till Rosenband, James Chou, et al Sr Lattice Clock Jun Ye, Matt Swallows, Mike Martin, Mike Bishof, et al Cs Fountain & Timescale Steve Jefferts, Tom Heavner, Tom Parker, Stefania Romisch Funding: NASA (Fundamental Physics) DARPA QuASAR NIST Thanks to Tom O Brian and Andrew Ludlow for help with the slides!

Finding the magic wavelength Differential Frequency Shift [Hz] (Clock Shift vs. Lattice Intensity) 30 λ lattice = 759.3597 nm 20 10 0-10 -20-30 λ lattice = 759.3480 nm -40 0 0.2 0.4 0.6 0.8 1 Intensity [Watts in 30 μm waist)

Reducing the Cold Collision Shift 45 collision shift (mhz) 30 15 0-15 -30-45 Δν = 2.5(2.4) mhz 1 2 3 4 5 6 7 measurement number In a 1-D lattice collision shift < 5x10-18 Can operate with larger lattice volume low density A. D. Ludlow et al., Phys. Rev. A 84, 052724 (2011)

High stability of optical clocks Microwave standards at ~1010 Hz. Direct cycle counting. Convenient broadcast frequencies. Optical standards at ~1015 Hz. Femtosecond laser frequency combs permit first direct measurements of optical frequencies. Disseminate optical time and frequency information at convenient carrier wavelengths. Intercomparisons of different technology combs at 10-19 level.

Blackbody situation what s left? 2 x 10-5 uncertainty <1 x 10-3 uncertainty Is this a blackbody? ~1 K effective temperature uncertainty 1.3% shift uncertainty 3 x 10-17 clock uncertainty

Reducing the Cold Collision Shift -1.4(3) mhz, 14500 s, extrapolate white freq noise 1s: 5 x 10-16 at 1s total deviation (mhz) 100 10 1 1 10 100 1000 10000 averaging time (s)

What is a good clock? Uncertainty/stability Cs fountain instability ~ 10-13 -1/2 Clock Frequency ν 0 shift shift E = h 0 Cs fountain uncertainty x ( 1 second in 60 million years) Time

Maybe some UTC transfer stuff? 1x10-12 NIST-F1 vs AT1E Average of Runs of December 2003 and April/June 2004 Combin ed_a v_plot _ w m.grf Cycle by Cycle (Low Density Only) 1 Day Average (All Densities) Allan (Total) Deviation 1x10-13 1x10-14 1x10-15 AT1E (Estimated) Reference Line Thêo1-1 Day Average (All Densities) 1 Day 10 Days 1x10-16 24 Days 1x10 0 1x10 1 1x10 2 1x10 3 1x10 4 1x10 5 1x10 6 1x10 7 (seconds) 6 hydrogen masers + 4 cesium beam standards. Time scale performance among best in the world.