Transportable optical clocks: Towards gravimetry based on the gravitational redshift

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Transportable optical clocks: Towards gravimetry based on the gravitational redshift A.A. Görlitz, P. Lemonde, C. Salomon, B.S. Schiller, U. Sterr and G. Tino C.Towards a Roadmap for Future Satellite Gravity Missions, Graz 30.09 02.10. 2009 Space Optical Clocks (SOC)

Evolution of atomic clocks 10-9 Relative Uncertainty 10-10 10-11 10-12 10-13 10-14 10-15 Microwave clocks Optical Clocks 10-16 Hg + 10-17 10-18 Mikrowave clocks: ~ 9 GHz Optical clocks: ~ 400 000 GHz Cs fountains 1950 1960 1970 1980 1990 2000 2010 Year Yb + Al + 10-18, Ca Sr Yb + Sr Single-ion trap (PTB) Neutral atom ensemble (HHUD) Review: e. g. P. Gill, Metrologia (2005)

Applications of Optical Clocks Time and frequency distribution on earth (possibly Master clock in space ) Precision navigation in space, e.g. formation flying Ultraprecise tests of General Relativity Tests of time variation of fundamental constants Gravimetry

The gravitational frequency shift ν 1 Two clocks at different positions ν ν ν U ( r ) U ( r ) = c 1 2 1 2 2 gravitational potential ν 2 r 1 r 2 On/near the earth surface r 1 r 2 = 1 cm ν = 10 ν 18 Optical clock as local probe of gravitational potential Good time resolution (goal for clock uncertainty: 2 x 10-16 s )

Differential measurement of the gravitational potential U Transponder Frequency comparison by: - Free-space link (~ 10 km) - Optical fiber (~ 100 km) - Transponder (any distance, intercontinental) Optical or microwave link possible Two-way link permits Doppler cancellation

Absolute measurement of the gravitational potential U Probe clock Master clock (ν 1 ) Probe clock Probe clock Comparison with a reference clock ( master clock ) Possible location of master clock : geostationary orbit (low uncertainty of U)

Optical lattice clock operating scheme metastable state narrow transition (optical clock)

Optical lattice clock development within SOC Strontium (LENS, PTB, SYRTE) (5s5p) 1 P1 (6s6p) 1 P1 Ytterbium (HHUD) 461 nm 689 nm 698 nm 2 1 0 (5s5p) 3 PJ 398 nm 556 nm 578 nm 2 1 0 3 J (6s6p) P (5s 2) 1 S0 2 (6s ) 1 S0 clock transition LENS HHUD

Ultracold atom source Clock Laser Frequency Control system oven magnet Dipole trap potential Lattice Position

Strontium optical lattice clock - setup Laboratory source of ultracold atoms (partial view) Clock laser SYRTE vibration-insensitive cavity PTB

Clock transition spectroscopy

Strontium optical lattice clock - performance Experimental resonance: Frequency stability: SYRTE SYRTE Sr clock frequency: 429 228 004 229 873.6 Hz Lowest systematic uncertainty: 1 x 10-16 (JILA/NIST) Ludlow et al., Science (2008)

Strontium optical lattice clock - accuracy budget

Compact clock apparatus - Yb Spectroscopy beam Main chamber Blue laser system (399 nm) AOM EOM Fiber for 1156 nm Fiber for 578 nm (frequency measurement) (spectroscopy) Fiber incoupler for PPLN waveguide Green laser (556 nm) ULE cavity Lattice laser (759 nm) IR camera Place for 578 nm fiber stabilization SHG in PPLN waveguide ECDL1156nm 90 cm

Transportable source - Sr Small footprint (110 x 90 cm) Low power consumption High-power diode laser system for 1st stage cooling Move from Florence to Braunschweig in January 2010 LENS Frequency generation system LENS LENS

Atomic clocks for space - ACES Projected launch: ~ 2014 PHARAO: cold atom microwave clock instability 1. 10-13 at 1 s, 4. 10-16 at 50 000 s accuracy ~ 1. 10-16 technology demonstrator world-wide time dissemination and comparisons test of special and general relativity

Future applications of transportable optical clocks: Einstein Gravity Explorer Proposal within Cosmic Vision Ultrahigh stability optical clock (Ion and/or neutral atom) Primary objective: Fundamental tests of general relativity Projected resources: 200 W, 155 l, 125 kg (clock + frequency comb only)

Status and Perspectives Optical Clocks of 10-16 accuracy could be turned into transportable or space instruments within ~ 5 years More than 15 research groups work on advanced optical clocks (natl. metrology labs, university groups) Developments in quantum information/atom interferometry help advancing technological development ESA support for several studies on optical clocks, including demonstrator developments ( Space Optical Clocks ) Transportable demonstrator(s) ready by 2010 Clocks of 10-18 accuracy within 15 years possibly available Projected (minimal) resources: ~ 200 W, 155 l, 125 kg