Atomic Quantum Sensors and Fundamental Tests

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Atomic Quantum Sensors and Fundamental Tests C. Salomon Laboratoire Kastler Brossel, Ecole Normale Supérieure, Paris ESA- ESTEC-FPRAT, January 21th, 2010

Fundamental Questions 1) Missing mass in the Universe Dark matter and dark energy represent 95% of the mass of the Universe but have unknown origin! New particles and/or change of the laws of gravity? 2) Atomic Sensors can tests fundamental laws with exquisite precision Einstein s equivalence principle and Universality of Free Fall Tests of gravity in Earth orbit or at solar system scale Precision redshift measurement Variability of fundamental constants 3) Quantum sensors have societal applications Accelerometry, Gravimetry, Navigation, GPS, GALILEO, Geodesy, Earth monitoring,

Atomic Source Atom Interferometry Matter wave interferometry: as old as Quantum Mechanics Cold atoms: new opportunities with large De Broglie wavelength Beam splitter Beam recombiner DETECTOR Change of optical pathlength Atom interferometry Change of phase of interference pattern Atomic source Beam splitters detectors

Atom interferometers and Clocks Atoms have internal states Two level atom: g, e Laser resonant on g e transition Neglect spontaneous emission Use long lived upper states Mg, Ca, Sr, Yb, or Raman Transition between hyperfine ground states in alkalis for instance Effective two-level system e +k 1 -k 2 g 2 g 1

Matter-wave sensors and precision measurements Clocks and Interferometers T : interaction time with ELM field Slow atoms: T large; atomic fountain or microgravity Trapped atoms: T large Clocks: gain prop. To T L Inertial sensors: Accelerometers: gain as T 2 Sagnac gyrometers : gain as L T Current sensitivity: Acceleration: g/g= 1.4 10-8 in 1s Rotation: = 6 10-10 rad s -1 in 1 s Clocks: Frequency stability: /v = 2 10-15 in 1s Accuracy: = 8.6 10-18

Optical clocks Mach-Zehnder interferometer with light beams 2 2 e, p+ k Atom beam g, p g, p t 0 t 1 t 2 Laser beams 1 0 2 1 3 2 Time ( t ) 2 ( t ) ( t ) Sensitive to rotation and accelerations: gyrometers and gravimeters

Cold atom gravimeter k at k gt 2k gt 2 2 2 eff eff L Ground sensitivity: σ g ~10-7 m.s -2 at 1s with interrogation time 100 ms limited by vibrations Extrapolation to space: <10-10 m.s -2 at 1s with interrogation time 2 s With ultra-cold atoms: ~10-11 m.s -2 at 1s with interrogation time 10 s 3D MOT S. Chu A. Peters et al. Stanford 2D MOT 1 m Earthquake in China 2 Mars 20 th 2008 (magnitude 7,7) A. Landragin F. Pereira SYRTE

BEC in microgravity: QUANTUS Coordinator E. Rasel Exploring coherent matter waves at lowest energy scales, in particular for... Precision inertial sensing... Quantum test of the principle of equivalence beyond 1 part in 10 15

Achievements: > 170 drops Robust alignment 3 drops per day High complexity Study of Evolution & control of condensates Goals: Test of chip-based and alloptical atom lasers for precision inertial sensing Atom interferometry coherent matter waves UANTUS Test of free fall of isotopes of potassium and rubidium

ICE: Atom accelerometer in microgravity Coordinator P. Bouyer Operation of atom interferometer in the 0g airbus. QuickTime et un resseur TIFF (non compressé uis pour visionner cette image Demonstration of atom accelerometer in weightlessness. Demonstrated background vibration suppression by correlation measurement of atom & classical accelerometer. 2 species atom interferometer : test of the equivalence principle @ 10-11 in the plane and 10-13 on ISS.

SAI - Space Atom Interferometer Coordinator: Guglielmo M. Tino

SAI accelerometer Main goal: compactness/portability -> to fit into a drop-tower capsule Use same cell for trapping and detection (launch in 1-1-1 config.) HUB design for titanium vacuum cell Load 3D-MOT from 2D-MOT Magnetic shield on whole vacuum system Launch into a 20 cm tube Single axis Raman accelerometer sensitivity spec 3 10-7 m/s 2 @ 1s

Quantum sensors (2) Cold Atom Clocks

Precision of Time 1s 1ms 1 s 1ns 1ps GPS Time 100 ps/day 10 ps/day 1 ps/day Optical clocks

In Space: Cold Atom Clock in -gravity : PHARAO/ACES 20.054 kg, 36W Total volume: 990x336x444 mm 3 Mass: 44 kg Same Technology can be applied to matter wave sensors

A cold atom Cesium clock in space Fundamental physics tests Worldwide access To be launched to ISS in 2013 ACES atomic clocks

Trapped-atom clock on a chip 87 Rb: (I = 3/2) 20 mm F = 2, m F = +1 F = 1, m F = -1 } experience same trapping potential (same magnetic moment) N ~ 3 10 4 atoms T ~ 200 nk d ~ 150 m atom-surface distance result: ~ 17 s coherence lifetime P. Rosenbusch, J. Reichel, SYRTE-ENS, 2009

2 Families of Optical Clocks: Trapped Ions and Neutral Atoms Quality of the clock: / x S/N = 2 T x S/N Increase the frequency, increase T, increase S/N Trapped ions : T very long but only one (few) ion in the trap. Neutral atoms: T long and large numbers: improved stability NIST : Rosenband et al. Al + :optical transition Accuracy: 8.6 10-18 A factor of 30 beyond the cesium accuracy! Neutrals: Ca, Sr, Yb, Mg, Hg,.. Sr: 10-16 accuracy, Ye et al. TOKYO, JILA, SYRTE, PTB, FLORENCE,.

Space Optical Clocks (SOC:ELIPS-3) Space Optical Clocks (SOC:ELIPS-3) Coordinator S. Schiller, Duesseldorf Goal: develop optical lattice clocks with inaccuracy at 10-17 level for space applications, in particular on ISS. Two approaches: Strontium and Ytterbium Pre-Phase A project (2007-10) : 1x10-16 on Sr clocks, development of compact subsyst. Current status on stationary Sr clocks: Study of systematic effects at 10-16 level, Frequency instability <1x10-15, transition linewidth 9 Hz, non-destructive detection Transportable Yb clock system Sr breadboard with modular subsystems and all diode laser based. Current status: routine operation all fiber light delivery. Current status: atomic beam of 2 nd stage cooling, 2 Hz linewidth clock laser production; transp. Sr clock laser with < 10 Hz linewidth www.spaceopticalclocks.org

Space Optical Clocks Phase II (2010-2014) Goal: Building on SOC-I results, develop transportable/breadboard lattice clocks with 5x10-17 inaccuracy, < 1x10-15 / 1/2 instability (Sr, Yb) 2 nd generation breadboard Sr atomic and electrooptics system: < 170 kg, 1000 liter. Modular systems Develop reliable, compact and rugged lasers and subsystems Advanced atomic chambers, optimized w.r.t. size, black-body shift, power Transport and characterization of clocks at national metrology labs (PTB, INRIM) Laser diode reliability tests; compact frequency comb development 16 partners Space Optical Clocks (Phase 2, 2010-14) ULE ring ULE spacer fused silica mirror

Future Time Definition from Space 1) The Earth gravitational potential fluctuations will limit the precision of time on the ground at 10-18 -10-19 (ie: cm to mm level) 2) The only Solution: set the reference clocks in space where potential fluctuations are vastly reduced 3) Improved Navigation, Earth Monitoring and Geodesy 4) Interesting for fundamental physics Tests

Mission opportunities with clocks PHARAO + ISS General Relativity test improvement wrt GPA 35 350 40000 10 5 Optical clock + ISS PHARAO: 1x10-16 inaccuracy; 1x10-13 /t 1/2 instab. Optical clock: 10 x in accuracy, 100 x more stable Cost, complexity PHARAO + Earth orbit Optical clock + Earth orbit PHARAO + trajectory towards sun Redshift test at Mercury with 5 10-10 inaccuracy second-order grav.red-shift + Shapiro time delay @10-8 Optical clock + trajectory tow. sun

The SAGAS Project test of gravity at solar system scale arxiv: 0711.0304, (2008); Exp. Astr. 23, 651, (2009) peter.wolf@obspm.fr test body trajectory + light trajectory + proper time = Measures all aspects of gravity!

Summary Matter-wave interferometers and cold atom clocks have entered into high precision measurement phase Technology has progressed fast with routinely working instruments Fine structure constant @ 3 10-9 Clocks reach stabilities and accuracies in the sub 10-17 range Impressive efforts for miniaturization and reliability Compact laser sources and atom chips quantum gases sources: BEC in microgravity and atom lasers Beyond ACES on the ISS (2013-2015) Optical Clocks with 10-17 frequency stability in 2019 on the ISS or satellite Test of Equivalence Principle in Space with quantum objects beyond 10-15 Precise accelerometry demonstration High precision clocks can bring tests of the laws of gravitation to a new level of precision Coordinated action between ESA directorates is important!