Opportunities for space-based experiments using optical clock and comb technology Patrick Gill National Physical Laboratory, UK

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Opportunities for space-based experiments using optical clock and comb technology Patrick Gill National Physical Laboratory, UK Quantum to Cosmos, Virginia, 9 th July 2008

Outline Background to ESA studies Technology: recent developments & state-of-the-art performance Local oscillators Trapped ion standards Neutral atom standards Femtosecond combs Optical clock comparison Opportunities for space missions Development plan for optical clocks at suitable technology readiness to move to space qualification 88 Sr + ion trap (NPL) 2

ESA study 2006-07: optical frequency synthesizer for space-borne optical frequency metrology Patrick Gill, Hugh Klein and Helen Margolis National Physical Laboratory Ronald Holzwarth, Marc Fischer and Theodor Hänsch Menlo Systems GmbH Stephan Schiller Heinrich-Heine Universität Düsseldorf Volker Klein Kayser-Threde GmbH (KT) ESTEC Contract No. 19595/06/NL/PM ESA Technical Officer: Eamonn Murphy 3

Conclusions & Recommendations: Optical frequency combs now mature lab devices Ground-based optical clocks specs of 10-17 10-18 available in near future Significant advance on microwave frequency best capability Opportunities across a range of future space mission sectors High precision, high performance clocks, Need to work on high reliability for space A substantial ESA-sponsored development programme to enable optical clock technology to be better prepared for future space missions ESA-steer in the planning of a future mission based on optical clocks Focus the efforts of leading optical frequency metrology groups and companies to achieve a space-based optical clock demonstrator within the next decade 4

Development of Optical Atomic Clocks for Space Remit: Patrick Gill, Helen Margolis & Hugh Klein National Physical Laboratory Draw up a viable technology development plan for OACs for space Timescale: May September 2008 ESTEC Contract No. 21641/08/NL/PA ESA Technical Officer: Eamonn Murphy 5

Technology development plan for OACs in space Pointers to potential future missions and associated user requirements benefiting from OACs Aim for a fit between fundamental physics & other subsidiary science mission goals Identify necessary parallel development activities to progress OAC sub-unit technologies to TRL 5/6, ideally consistent with next CV timeframe Identify a co-ordinated activity plan (with costs) involving the ESA space research community that addresses the following sub-units: Atomic reference (cold atom and single ion options) Optical local oscillator Frequency synthesis Frequency comparison Integration of sub-unit development into advanced prototype (by 5 years) Identify systems providers and ball-park cost for next stage EM 6

Optical Clocks: What and Why? instability σ f 1 f (S/N) Based on narrow optical transitions in atoms or ions Frequencies 10 5 times higher than microwave frequencies Q-factor 10 15 Better time resolution Better stabilities than microwave clocks σ( τ) ~ 2πf 1 NT int τ Cavity-stabilised Oscillator (Ultra-stable laser) + + Reference (Narrow optical transition in an atom or ion) Counter (Femtosecond comb) 7

Optical local oscillators Loop filter Phase-sensitive detector Spacer: Ultra-low-expansion (ULE) glass Length ~10 cm FSR ~ 1.5 GHz Ultra-stable reference cavity Laser EOM Cavity must be: Operated at a temperature where coefficient of thermal expansion α CTE is close to zero; Isolated from sources of vibration. Mirrors: optically contacted to spacer Refl. > 99.998%, finesse ~ 200,000 8

State-of-the-art LO performance Benchmark: Other systems: ULE-cavity-stabilized dye laser at NIST linewidth ~ 0.2 Hz, rel. frequency instability 3x10-16 at 1 s Nd:YAG laser ~ 0.4 Hz (NPL, JILA, ) Diode lasers ~ 0.4 1 Hz (PTB, NIST, NPL, ) Ti:sapphire ~ 5 Hz (NPL) Recent developments: Vibration-insensitive cavities JILA vertical cavity Ludlow et al. Opt. Lett. 32, 641 (2007) NPL cut-out cavity mirror blind holes support points Nazarova et al., Appl. Phys. B 83, 531 (2006) PTB horizontallymounted cavity Webster et al. PRA 75, 011801 (R) (2007) Sensitivity to vertical vibrations up to 1000 times lower than standard cylindrical cavities 9

Thermal noise limit 10-12 no drift compensation 1st-order drift compensation 2nd-order drift compensation thermal noise 10-13 σ/ν 10-14 10-15 10-3 10-2 10-1 10 0 10 1 10 2 10 3 10 4 τ / s Experiment: Webster et al., PRA 77, 033847 (2008) Theory: Numata et al., PRL 93, 250602 (2004) 10

Trapped ion optical clocks Laser-cooled single trapped ion High-Q optical clock transitions (10 15 or higher) Long interrogation times possible Electron shelving scheme high detection efficiency Low perturbation environment: 171 Yb + trap (PTB) No 1 st -order Doppler shift (& minimum 2 nd -order shift) Field perturbations minimised at trap centre Background collision rate low 88 Sr + trap (NPL) Ca + trap (Innsbruck) 11

Ion clocks: candidate systems Ion 199 Hg + 2 S 1/2 2 D 5/2 282 1.8 6.7 0.7 NIST 171 Yb + 2 S 1/2 2 D 3/2 436 3.1 10 2.2 PTB, NPL 88 Sr + 2 S 1/2 2 D 5/2 674 0.4 5 1.7 NPL, NRC 40 Ca + 2 S 1/2 2 D 5/2 729 0.14 15 0.9 Innsbruck, CRL, Marseilles 115 In + Clock transition 1 S 0 3 P 0 λ / nm 237 Natural linewidth / Hz 0.8 Best experimental linewidth / Hz MPQ / Erlangen 27 Al + 1 S 0 3 P 0 266 8 x 10-3 8.4 0.7 NIST 171 Yb + 2 S 1/2 2 F 7/2 467 ~10-9 40 11 NPL, PTB 170 Frequency measurement uncertainty / Hz 230 Laboratory 12

Ion clocks: observed Q-factors & absolute frequency measurements 6.7 Hz T probe = 120 ms 199 Hg + standard: 171 Yb + quadrupole standard: observed Q 1.6 10 14 observed Q 7 10 13 f = 688 358 979 309 307.6 (2.2) Hz f = 1 064 721 609 899 145.30(69) Hz (rel uncertainty 6.5 10-16 ) Stalnaker et al., Appl. Phys. B 89, 167 (2007) Peik et al., PRL 93, 170801 (2004) (rel uncertainty 3.2 10-15 ) Tamm et al., IEEE TIM. 56, 601 (2007) Rafac et al., PRL 85, 2462 (2000) T probe = 90 ms 10 Hz Quantum jump probability 0.16 0.12 0.08 0.04 T probe = 100 ms 9 Hz 0.00-150 -100-50 0 50 100 150 Frequency (Hz) 88 Sr + standard: observed Q 5 10 13 f = 444 779 044 095 484.2 (1.7) Hz (rel uncertainty 3.8 10-15 ) Margolis et al., Science 306, 1355 (2004) Barwood et al, IEEE TIM. 56, 226 (2007) 13

Ion clocks: frequency ratio measurements Optical frequency ratios can be measured much more accurately. f Al+ f Hg+ = 1.052 871 833 148 990 438 (55) Relative uncertainty 5.2 x 10-17 4.3 x 10-17 statistics 1.9 x 10-17 Hg + systematics 2.3 x 10-17 Al + systematics Rosenband et al., Science 319, 1808 (2008) 14

Ion clocks: stability and reproducibility Comparison of 199 Hg + and 27 Al + standards: instability 4 10-15 τ -1/2 for 20 s τ 2 000 s Rosenband et al., Science 319, 1808 (2008) Comparison of two 171 Yb + standards: fractional frequency difference 3.8(6.1) 10-16 Schneider et al., Phys. Rev. Lett. 94, 230801 (2005) 4x10-15 Peik et al, J. Phys. B: At.Mol.Opt. Phys 39,145 (2006) σ y of difference frequency 2x10-15 10-15 8x10-16 6x10-16 4x10-16 2x10-16 1 10 100 1000 T [s] 15

Neutral atom lattice clocks 1 S 0 3 P 0 clock transitions in eg Sr, Yb, Hg (mhz natural linewidth) Atoms confined in an optical lattice AC Stark shift eliminated by operating at magic wavelength N atoms, stability N 1/2 Ultimate goal: 3D lattice with 1 atom per site 1 P 1 1 st -stage cooling 1 S 0 2 nd -stage cooling clock transition 3 P 2 3 P 1 3 P 0 λ 1D lattice, site spacing λ/2 16

Lattice clocks: absolute frequency measurements 87 Sr standard: Highest observed optical Q-factor (2x10 14 ) Independent measurements from 3 groups now agree at the 10-15 level Secondary representation of the second 174 Yb standard: observed Q ~ 1x10 14 Barber et al, Proc. SPIE 6673, (2007) (Measured frequency - 429 228 004 229 000 Hz) / Hz Boyd et al, PRL 98 (2007) 888 884 880 876 872 868 JILA 3 P0 (m F = 5/2) population SYRTE Laser detuning (Hz) Tokyo 1.9 Hz FWHM Normalized atom number 5 Hz FWHM Poli et al, (2008) arxiv:0803.4503v1 Probe frequency (Hz) Both Qs limited by spectroscopic probe times fractional uncert 1.7 10-15 17

Lattice clocks: systematic uncertainty & stability 87 Sr standard: Fractional frequency uncertainty of 10-16 demonstrated by remote optical comparison with a Ca standard. Ludlow et al., Science 319, 1805 (2008) Calculated stability Sr-Ca remote comparison Quantum projection noise limit In-loop stability Similar stability demonstrated for 174 Yb (v. Hg + ) Poli et al., arxiv:0803.4503v1 (2008) 18

Improvements in optical frequency standards 1.0E-09 1.0E-10 Essen s Cs clock Iodine-stabilised HeNe Fractional uncertainty H 1.0E-11 Femtosecond combs Cs redefinition of the second 1.0E-12 Ca H 1.0E-13 H 1.0E-14 Hg +, Yb +, Ca Sr 1.0E-15 Hg + Yb Hg Cs fountain clocks + 1.0E-16 Sr Al + Hg + 1.0E-17 1950 1960 1970 1980 1990 2000 2010 Microwave Year Optical (absolute frequency measurements) Optical (estimated systematic uncertainty) 19

Femtosecond combs: optical clock operation I(f) Lock comb to optical frequency standard f probe f bea t Stable microwave 0 Offs et frequency f 0 f 0 output signal at f rep f n1 n 1 f rep + f 0 x 2 2n 1 f rep + 2f 0 n 2 f rep + f 0 f rep = f probe ± f 0 ± f beat m beat = f 0 if n 2 = 2n 1 millions of modes across visible/ir with known frequency Uncertainty between combs locked to the same optical ref: ~1.4 x 10-19 (Ma et al, Science 2004) Comb hardware: fs laser (eg TiS, Fibre laser.) + microstructure fibre 20

Overall system performance 10-13 Allan deviation 10-14 10-15 10-16 Optical local oscillator Femtosecond comb Atom (Sr Ca comparison) Ion (Hg + Al + comparison) 10-17 0.01 0.1 1 10 100 1000 Time / s 21

Optical clock comparison by fibre: state of the art Fractional frequency stability 10-13 Frequency comb (100 km) - NPL Frequency comb (6.9 km) - JILA 10-14 AM carrier, 1 GHz (86 km) - SYRTE AM carrier, 9.2 GHz (86 km) - SYRTE Optical carrier (172 km) - SYRTE Optical carrier (251 km) - NIST 10-15 10-16 10-17 10-18 10-19 10 0 10 1 10 2 10 3 10 4 10 5 Averaging time / s Compare frequency transfer by fibre with satellite MWL between high performance remote clocks to validate MWL for transportable ground clocks 22

Opportunities for OAC space missions in fundamental physics Development of quantum theory of gravity implies violations of standard General Relativity principles such as the Einstein Equivalence Principle: GR effects small, but space environment offers variable gravity, large distances, high velocities and low accelerations and freedom from Earth seismic noise. Optical clocks most sensitive to gravitational effect through effect on frequency Tests of Local Position Invariance (LPI) ν ν Absolute gravitational redshift (GRS) measurements due to U/c 2 orbit change in Earth potential ν Absolute GRS measurements of solar potential Null GRS tests between dissimilar clocks in changing potential U ( r ) U ( r ) = c 1 2 1 2 2 ν A const. ν = Tests of Local Lorentz Invariance (LII) Test of time dilation between ground & space clock (Ives-Stilwell) Cavity / OAC freq comparison in orbiting arrangement (Kennedy-Thorndike) B Measurement of space-time curvature (Shapiro time delay) 23

EGE (Einstein Gravity Explorer) Scientific goals: Tests of fundamental physics (gravitation) (Gravitational redshift, variation of fundamental constants, Lorentz invariance + + + +) Spin-off to other fields (Determination of earth s geopotential, comparison of distant terrestrial clocks at the 10-18 level, technology demonstration) Payload: Two atomic clocks (one optical, one microwave) Optical frequency comb Microwave link to earth Class M Cosmic Vision proposal: Schiller, Tino, Gill, Salomon et al. (2007) 24

Possible EGE Mission Scenario Orbital phase I (~ 1 year duration, highly elliptic orbit) Test of Local Position Invariance and of grav. redshift Orbital phase II (geostationary, several years duration) Master clock for earth and space users Geophysics Schiller 2007 Clock ensemble ν1 ν2 ν0 Clock ensemble ν1 ν2 25

SAGAS (Search for Anomalous Gravitation using Atomic Sensors) Scientific goals: Tests of fundamental physics (gravitation) in deep space (universality of gravitational redshift, local position invariance, parameterised post-newtonian gravity, Pioneer anomaly, low frequency gravitational waves, variation of fundamental constants) Exploring the outer solar system (Kuiper belt mass distribution and total mass, planetary gravitational constant for Jupiter) Payload: Trapped ion optical frequency standard Cold atom accelerometer Class L Cosmic Vision proposal: Wolf et al. (2007) Laser link for ranging, communication & frequency comparison 26

OAC benefits for Geoscience Direct measurement of the earth s geopotential with high resolution by using the gravitational redshift. Comparison of ground clocks with 10-18 accuracy Transponder or Master Clock ground clocks Measurement of potential differences with equivalent height resolution of 1 cm Use of airborne clocks referenced to master should allow improved spatial resolution & faster data acquisition 27

Navigation: optical clocks for future GNSS Benefits of using optical clocks in both satellite & ground segments: Improved timing / location resolution Improved integrity / autonomy of satellite segment Better correction for atmospheric and multi-path effects Improved time transfer Scenario I Satellite time Rubidium clock System time Optical clock Theoretical error over 2 hours / ns 0.59 II Passive maser Optical clock 0.11 Allan deviation III Optical clock Active maser 0.14 IV Optical clock Optical clock 0.002 Simulations by Institute of Communications & Navigation (DLR) ESA study contract 19837/06/F/VS Averaging time / s 28

Optical master clock (OMC) in space Requirement for high accuracy (10-18 level) intercomparison of remote ground-based optical clocks ACES MWL target to approach 10-17 @ several days takes time Common-view comparison via optical master clock Geostationary orbit for ease of orbit determination and reduction of tracking requirements Altitude determination of master clock to 40 cm required for 10-18 accuracy (laser ranging sufficient) Also available as a clock reference for satellites in lower orbits OAC mission blueprint: Primary goal Fundamental physics (Tests of GR eg EGE) 2 nd ary goals Geoscience (high spatial resn of geopotential) GNSS (input to future GNSS architectures) Optical master clock (high acc remote clock comparison) 29

Optical clock parallel-path technology development to reach TRL 5/6 by next CV call + 3 years Atomic reference Atomic reference trapped ion clock trapped ion clock quantum-logic based trapped ion clock quantum-logic based trapped ion clock lattice clock (fermionic atoms) lattice clock (fermionic atoms) lattice clock (bosonic atoms) lattice clock novel quantum (bosonic references atoms) (e.g. nuclei, molecules) novel quantum references Common technologies Optical local oscillator Atomic reference selection for specific mission scenarios Construction of engineering and flight models for space-borne optical clock Frequency synthesis Frequency comparison 2009 2014 2019 30

Benefits of a parallel track development Choice of particular clock may be mission dependent Better readiness for future Cosmic Vision calls Reduced time and improved efficiency to reach EM /FM Continuous improvement, benefiting technology development needed for missions Common technical sub-packages capable of wide application Spin-off to high profile ground-based science (eg time variation of fine structure constant; m e /m p ) 31

Optical clock sub-unit technology requirements Vibration-insensitive ULE cavity with reduced thermal noise & operating at zero expansivity temperature Automated fibre laser fs comb with optical pumping redundancy & radiation hard Clock laser Femtosecond comb Microwave output of clock Control unit Atomic reference Cooling and auxiliary lasers Good magnetic field control + shielding; Reduced blackbody sensitivity + shielding Monolithic DFB or fibre lasers + redundancy and fibre delivery to atom / ion 32

Low-drift cavity 935 nm D 3/2 -state repumper laser 638 nm F 7/2 -state repumper laser Low-drift cavity 171 Yb + 435 nm ion clock unit Fibre-free space interface Mu-metal shielding Ion trap UHV chamber PMT From: Proposal EGE (2007) T B Freq doubling in build-up cavity 739 nm extended cavity diode laser 369.5 nm cooling SHG AO 435.5 nm Clock laser frequency step EC vacuum pumps Magnetic field Temperature Ion fluorescence Processor Clock laser wave from MOLO 871 nm clock laser ULE cavity EO Det. AO Femtosecond comb Microwave-optical local oscillator: Clock laser / ULE cavity / fs comb sub-units 33

Laser cooling package cf ACES development: 20 kg, 36 W, 30 liters Air/vac operation, 10-35 o C Potential for reduced package for ion clock: eg 1 ECDL + single pass doubling + aux DFBs + redundancy units 422 nm 4 ECDL, 4 DL, 6 AOM, 30 PZT 11 motors, 6 photodiodes 8 peltier coolers 88 Sr + ion cooling 844 nm laser Single pass doubling in PPKTP 150 mw 844 nm diode 0.5 mw of Sr + 422 nm cooling light 34

Ion clock physics package 100 mm 300 mm 70 mm Mu-metal shield 88Sr+ PMT ion trap lab development ~ 10 litre volume 2l s-1 ion pump Microtrap development based on gold-coated ceramic wafers (Ulm) or gold-coated single silica-on-silicon wafer (NPL) Ulm NPL 30 mm 35

Femtosecond comb package Transmissivity of an Er doped fibre (25 mm) irradiated with 2.6 MeV protons of a flux of 1.9 10 11 protons / cm 2 s (from Predehl 2006). Commercial fibre-laser based comb Radiation hardness issues? Highly efficient diodepumped KLM Yb:KYW laser Alternative high efficiency fs laser sources Space version: target vol 1 litre (200x130x40 mm), 5W power 36

Additional issues for space clock development OAC space clock issues Acceleration dependencies Influence of cosmic radiation Prolonged unattended & maintenance-free operation Mass, volume & power Operation in vacuum Internal spacecraft environment External perturbations Type of optical clock power (W) Physics volume (litres) Physics package mass Support structure mass Electronics mass Total mass Ion clock 60 50 50 kg 20 kg 30 kg 100 kg 37

Conclusion Proposal for a technology development programme managed through ESA TEC-MME Directorate involving development activities across the ESA research community in a co-ordinated way Input to FPAG road-map construction added resource (if successful) for ESA Science / Fundamental Physics strategy for optical clock-based future mission scenarios 38