AION: Experimental Overview - Richard Hobson - experimental overview

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AION: Experimental Overview - Richard Hobson - experimental overview
AION: Experimental Overview
 Richard Hobson
AION: Experimental Overview - Richard Hobson - experimental overview
Example: strontium atomic clock

 Lattice loading
 Readout
 State preparation

 Blue MOT Red MOT L Spectroscopy R
 t

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AION: Experimental Overview - Richard Hobson - experimental overview
Strontium 87

 813 nm Optical Lattice

 461 nm – 1st stage cooling to 1 mK
 689 nm – 2nd stage cooling to 1 μK (Sr1)
 2.9 um – 2nd stage cooling to 5 μK (Sr2)
 813 nm – optical lattice trap
 698 nm – the clock transition
 679 nm, 707 nm, 497 nm – repumping

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AION: Experimental Overview - Richard Hobson - experimental overview
Blue MOT

 200 ms
 Blue
 MOT

 Red
 MOT

 L

 Spectroscopy

 Readout

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AION: Experimental Overview - Richard Hobson - experimental overview
Red MOT

 Blue
 MOT

 300 ms
 Red
 MOT

 L

 Spectroscopy

 Readout

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AION: Experimental Overview - Richard Hobson - experimental overview
Lattice Loading

 Blue
 MOT

 Red
 MOT

 15 ms
 Lattice

 Spectroscopy

 Readout

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AION: Experimental Overview - Richard Hobson - experimental overview
State Preparation

 Blue
 MOT

 Red
 MOT

 15 ms
 State prep.

 Spectroscopy

 Readout

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AION: Experimental Overview - Richard Hobson - experimental overview
Spectroscopy

 Blue
 MOT

 Red
 MOT

 L

 100 ms
 Spectroscopy

 Readout

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AION: Experimental Overview - Richard Hobson - experimental overview
Readout

 Blue
 MOT

 Red
 MOT

 Lattice

 Spectroscopy

 15 ms
 Readout

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AION: Experimental Overview - Richard Hobson - experimental overview
Result
 Lattice loading
 Readout
 State preparation

 Spectroscopy
 Blue MOT Red MOT L R
 0 + 
 t

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Outline
• What are the main atomic physics challenges for GW detection?
 • High signal-to-noise ratio  extreme LMT; high atoms/second
 • For LMT, homogenous Doppler shift  need to be very cold vertically
 • For LMT, homogenous intensity + long flight time  need to be very cold horizontally
• Atom physics targets and benchmarks
 • AION targets (3 yr): (1) AION 10 demonstrator; (2) “Upgrade” R&D
 • Benchmarks: (1) current state of the art; (2) GW detection threshold
• Building a long-term programme
 • Technology development (key features: reliability, documentation)
 • Strong collaboration needed – management structures, discussion forums, repos…

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Atomic physics challenges

 3. Sequence of high-
 fidelity pi pulses

 1. Big tube 2. Lots of atoms
 & squeezing
 Need to shrink quantum projection noise Δθ

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How cold?
To get 40,000 ħk, we need to drive π pulses with > 99.999% fidelity*
 We need to avoid inhomogenous intensity and Doppler shifts

 Effect of Doppler shift Effect of intensity error

*This assumes error in consecutive pulses is uncorrelated, probably reasonable since excitation laser phase will be noisy enough

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Vertical temperature
Let’s assume a Rabi frequency of 8 kHz
(This drives a Rabi π pulse in 62.5 us and needs 50 W/cm2 at 698 nm)
 Maximum permissible Doppler shift for 99.999% fidelity: 25 Hz
Doppler shift is given by Δf = f0*v/c = f0*sqrt(kTvert/m)/c
 Maximum permissible vertical atom temperature: Tvert < 3 pK

 This is really cold!

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Horizontal temperature
Start with state of the art phase space density [1]:
n0 = 1.2e13 /cm^3; T = 44 nK
 cloud width for 1e6 atoms dx = 17 um; velocity spread dv = 0.002 m/s

Ideal delta-kick preserves phase space density  We have a fixed relationship
between size dx and velocity spread dv:
dxf=2*sqrt(dxi*dvi*flight time)

Perfect delta-kick cooling will preserve phase space density.
To minimise the final cloud size (and therefore the intensity inhomogeneity
toward the end of the LMT sequence), then

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Horizontal temperature
I didn’t have time to finish the horizontal calculation . But the take home
message from Mike’s calculation was that we do need to be in (or close to)
the degenerate regime.
Even for T ~ 0.2 TF, the cloud width will be > 1mm for > 2e6 atoms
Maximum permissible pulse area error is 2e-3
 LMT beam width must be 1/sqrt(2e-3) = 20 times larger than cloud width
 ~ 20 mm waist for ~ 1e6 atoms at T/TF = 0.2
 Lots of power needed at 698 nm!
(E.g. 300 W to drive 62.5 us pi pulses)
This gets worse with higher atom number…

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Can composite pulses help?
Composite pulses suppress inhomogeneity in (1)
intensity and (2) Doppler shifts
 Can use smaller LMT beam & higher Tvert

Best options we found are plotted on right:
(see https://arxiv.org/pdf/1406.2916.pdf)

E.g. Knill allows Tvert to be 105 times larger!

Still, the ultimate constraint on LMT beam is
Rayleigh length for 698 nm light:
 w0 = 5 mm  zR = 100 m

 For long baselines we need > 100 W at 698 nm
to drive enough π pulses within the flight time Calculated by William Bowden

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Atoms: targets and benchmarks
 Target: AION 10 Target AION “Upgrade” R&D Benchmark: Current tech Benchmark: GW
Desiderata Priorities: simple & reliable Priorities: high SNR, shot rate These numbers
 Nice to have: high SNR, shot rate Must be feasible in 3.5 years should scare you!
Blue MOT 5e7 atoms @ 1 second > 5e8 atoms @ 1 second Sources 5e9-1e10 atoms/s 88Sr: Schreck,
 Singapore, Shanghai, MPQ: picture to right

Red MOT 1e6 atoms @ 2 uk > 1e7 atoms @ 2 uK Up to 1e7 atoms @ 1.5 uK in 87Sr red
 MOT: Schreck, Ye, MPQ

Dipole trap 5e5 atoms @ 2 uK Deliverable: 2e5 atoms @ < 100 nK Up to 2e5 atoms @ 50 nK in 87Sr: Schreck,
 Stretch: 1e8 atoms/sec @ < 100 nK Ye

Transport 2e5 atoms @ 5 uK in tube Deliverable: 1e6 atoms @ < 1uK Tuneable lens; Mechanical translation ~ 1e8 atoms/s @
 Stretch: > 1e7 atoms and DKC to < 1nK stage; Bessel beam
 1e6 atoms/sec in tube; contrast = 1* ~ 10 pK
Launching Copy MAGIS ? Try in transport R&D system? Tim Kovachy Thesis pg 50

Delta-kick Copy MAGIS ? Try in transport R&D system? 50 pK horizontal (Kasevich using Rb; note
 use of initial magnetic DKC stage)

LMT 1 ħk @ 10 m baseline Adaptive optics? Composite pulses? 100 ħk (Kasevich with Rb [1,2]) 4e4 ħk
 1 (Poli group with Sr [1,2])
 100 ħk @ 10 m baseline*
Squeezing None Deliverable: QND on > 1e5 atoms 20 dB (Kasevich Rb), 13 dB (Vuletic Yb), 20 dB
 Stretch: Useful squeezing > 1e6 atoms 17.7 dB (Thompson Rb), Thompson Sr
 weak detection, Another good paper

Detection Florescence onto CCD ? Any activities here? < 1e-5 resolution
 26/09/2019 *These seem too difficult Targets and benchmarks Red = taken from IRB proposal 18
Atoms: What techniques to employ?
 Technique 1 Challenges 1 Technique 2 Challenges 2
Blue MOT Load into magnetic trap Easy route to large atom number, but Really big blue MOT Rescatter  1e10 atoms occupies ~ 1cm3 
 slow (~ 10 s) and inefficient transfer MOT becomes unstable. Also you get
 especially for 87Sr inelastic collisions  need high flux source

Red MOT SWAP cooling Easy to implement, already use at NPL. 688 nm transparency Might help to get towards recoil limit ~ 180
 Improves transfer and speeds up cooling nK before evaporation in dipole trap
 but doesn’t help final temperature much. beam  dark SPOT
Dipole trap 1064 nm crossed dipole Can copy trap dimensions from Schreck,
 Ye groups (~ 60 x 60 x 18 um), but this
 trap only supports ~ e5 degenerate atoms

Transport Moving dipole trap Beam needs to support against gravity Launch and recapture Could combine with delta-kick cooling.
 over a 50 cm horizontal distance  Bessel Launch lattice needs excellent alignment,
 (lattice assisted?) beam, tunable lens, or mechanical stage via lattice wavefront and phase stability

Launching Blue detuned 689 nm Beam needs excellent

 chirped lattice
Delta-kick Combine with ballistic Implement at apogee on stationary atoms Use clock transition This is usually wasteful – atoms in the wrong
  can apply vertical delta kick as well as velocity class get thrown away. However, we
 transport horizontal for velocity selection could move atoms into the same velocity
 class using a series of selection pulses and
 state-selective lattice launches…

LMT
Squeezing Cavity (non-destructive > 0 dB Rydberg? Only theoretical. Inelastic loss and
 decoherence would need investigating
 measurement; twisting)
 26/09/2019 Targets and benchmarks 19
 If we squeeze before launching anyway, then
Technology development
• Modules needed (note our ambitions for unprecedentedly reliable and reproducible tech)
 • Lasers
 • Laser stabilization system
 • Individual lasers and distribution optics (auto-aligning?)
 • Special research focus: High power LMT laser at 698 nm
 • Electronics
 • Experimental control (sequence generator, data acquisition, machine learning, laser (re-)locks)
 • Coil drivers, AOM drivers, RF sources, fancy DDS
 • Vacuum system
 • Sidearm chamber with Sr source and delivery optics
 • Very big tube! AION-100…
• Documentation and collaboration
 • Git repositories (completely open? Shared with MAGIS?)? Discussion forums? Meetings?

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Conclusion
• The atomic physics challenges are daunting
 • Complex sequence of cooling, transport and LMT
 • Very ambitious long-term needs for temperature, atom number, and squeezing
• AION targets and benchmarks
 • AION-10 needs to be simple, reliable, and quick to set up
 • AION upgrade R&D needs to catch up with state-of-the-art, and overtake where
 possible
 • Need to lay out roadmap for meeting GW detection benchmarks
• To make this work we need collaborative development of reliable,
 repeatable technology
 • Also need a very powerful 698 nm laser…

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End of AION slides…

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Accuracy: Error budget
 Lots of Pt thermistors…
 Limit: thermal gradients
 across chamber ~ 0.3 K

 Extrapolated using
 high/low lattice depth

 Measured with Sr Rydbergs
 (with help from Matt Jones)

 This is < 0.3 nm/s (!)
 thanks to lattice trap

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Rydberg DC Stark

 EIT signal
 5s75d 1D2

 413 nm
 (Tuneable)
 5s5p 1P1 No E field applied
 461 nm  symmetric
 (Fixed)
 5s2 1S0

 E field applied
  skewed
 Residual shift to Sr clock: −1.6+0.4
 −1.6 × 10
 −20

 Phys. Rev. A 96, 023419

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Instability: Three causes
 ∝N

 (1) Detection noise
 (2) Quantum projection noise
 (3) Local oscillator noise + dead time
  “Dick effect”

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Instability: NPL Sr

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Comparing clocks & the fibre network
Clocks in the network:

NPL Sr lattice, Yb+ ion
SYRTE Sr lattice, Hg lattice
PTB Sr lattice, Yb+ ion

  Tests of fundamental physics
 • Lorentz invariance - PRL 118, 221102 (2017)
 • Dark matter - Science Advances 4, 12 (2018)
 • Do fundamental constants change? PRL 113, 210801 (2014)

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Sr2

 • Pyramid MOT
 • Metastable MOT
 • Cavity-enhanced lattice trap
 • Cavity non-destructive detection
 • Reduced detection noise?
 • Reduced Dick effect?
 • Spin squeezing  reduced QPN?

 Optical lattice clocks at NPL
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Sr2: In-vacuum design

• Two in-vacuum cavities (L = 37.5 mm) + a hexagonal pyramid MOT

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Sr2: Pyramid MOT

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Sr2: Metastable MOT

  Up to 1e5 spin-polarised atoms at 5 uK in lattice  Clock works
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Sr2: Cavity-enhanced 1D lattice
  Power enhancement factor = 2000
  Negligible heating rates, long trap lifetime

 Good PDH lock

 Bad PDH lock

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Sr2: Cavity-enhanced 2D lattice

 Overlapped cavities  2D lattice
 (But clock runs fine in 1D)

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Sr2: Non-destructive detection

 ∝N

 ∝N

 Fluorescence imaging Cavity non-destructive detection
  Easy to set up  SNR enhanced by 
 x Atoms are heated out of the lattice  Atoms remain in the lattice and can be probed again
 x Only a small fraction of the  Enables spin-squeezing via weak measurement
 information is collected  We already have the atoms in the cavity!

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Sr2: Non-destructive detection setup

 δωn ≈ 2π x 55 Hz/atom Cavity finesse 13000 @ 461 nm

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Sr2: Non-destructive detection signal

 1. Switch on 461 probe
 2. Probe settles  start averaging
 3. Atom escape in a few milliseconds

 Orange: Initial settling effect due to probe Stark shifts
  Probe creates lattice potential & Sysiphus cooling
 Solve by adding extra Stark compensation sidebands

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Sr2: Non-destructive detection signal

 • Signal to noise good enough to resolve 4 atoms
 • But still ~ 6 times higher than shot noise limit
 Solutions:
 • Filter cavity for TA amplified spontaneous emission
 • Lower noise photodetector
 • More optical power

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Sr2: Spin squeezing?

 Calculated minimum N for spin squeezing
 (shot noise limit using our cavity): 35

  Should be possible - just need lower
 technical noise

 So… does anyone have a transimpedance
 amplifier with < 3 pA/rt(Hz) at 100 MHz?

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Outlook
• Improved non-destructive detection
 •  Recycle atoms in clock cycle
 •  Spin squeezing?
• Stable/accurate ratios of Sr1/Sr2 (see right)
• New improved cavity  even better stability
• Comparisons against Sr, Hg, Yb+ clocks over fibre link
 Still not QPN limited… we need to work on it

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Thanks for your attention
 Richard
 Hobson Alvise William
 Ian Hill Marco
 Vianello Bowden Schioppo

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Sr2: Assembly

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