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Preparation, manipulation and detection of single atoms on a chip. Guilhem Dubois Supervisor: Jakob Reichel Atomchips group, Laboratoire Kastler Brossel, ENS Paris. Single atoms : remarkable features. Well-controlled system! Testbed for Quantum Mechanics Qubit candidate?. b. a.
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Preparation, manipulation and detection of single atoms on a chip Guilhem Dubois Supervisor: Jakob Reichel Atomchips group, Laboratoire Kastler Brossel, ENS Paris
Single atoms : remarkable features Well-controlled system! Testbed for Quantum Mechanics Qubit candidate? b a Tcoh > 10s Cooling & trapping
Outline • Introduction: experiments with single atoms • Cavity QED and single atom detection • Experimental setup • Detection of waveguided atoms • Preparation and detection of trapped single atoms • Detection with minimum backaction • Quantum Zeno effect
Single atoms toolbox Preparation Interaction Detection
Single atoms toolbox Preparation Interaction with … Detection light fields(in free space, in a cavity) atom-photon entanglement[Volz et al. PRL96 (2006)] non-classical states of light- Fock states [Deleglise Nature455 (2008)]- polarisation-entangled photons[Wilk Science317 (2007)] another single atom(atom-atom entanglement) controlled collisions[Mandel et al. Nature425 (2003)] Rydberg blockade[Gaëtan et al. Nat. Phys.5 (2009)]
Single atoms toolbox Preparation : constraints deterministic specific internal state e.g. clock states specific motional state e.g. trap ground state Interaction Detection
Single atoms toolbox Preparation : feedback deterministic specific internal state e.g. clock states specific motional state e.g. trap ground state Interaction Detection : here atom counting minimum backaction (spontaneous emission) How can we achieve that ?
Outline • Introduction • Cavity QED and single atom detection • Experimental setup • Detection of waveguided atoms • Preparation and detection of trapped single atoms • Detection with minimum backaction • Quantum Zeno effect
e b Atom-cavity system atom g optical cavity k coupling g Strong coupling regime : g >> k , g small mode volume good quality mirrors
Detection of single atoms Evidence of field quantisation & photon counter Quantum light sources Brune et al. PRL76 (1996) Hijlkema PhD thesis (2007) Oettl et al. PRL95 (2005) Cavity QED experiments single atom - single photon interaction
+,1 e,0 g,1 b,1 splitting 2g coupling g energy energy -,1 b,0 b,0 Interaction single atom - single photon visible! Resonant Jaynes-Cummings spectrum e b
Principle of single atom detection in a cavity Optimum measurement rate1 measurement = 1 photon With losses L : ¡signal = L£ ¡inc
For a free space detector: factor C ! Detection with minimum backaction? Backaction characterized by Gsp
Outline • Introduction • Cavity QED and single atom detection • Experimental setup • Detection of waveguided atoms • Preparation and detection of trapped single atoms • Detection with minimum backaction • Quantum Zeno effect
AutoCAD’s view Integrated atom chip-cavity system
Atom chip basics 1cm Applications: - BEC - precise transport and positioning - atomic clocks and interferometers - single atom manipulation? Magnetic traps: - versatility - strong confinement close to the surface
Miniaturized Fabry-Perot cavity - tunable - small mode volumew0=4 mm ; d=39 mm - integrated150mm from chip surface Cavity QED Strong coupling regime! finesse F = 38000 coupling g/2p= 160 MHz cavity decayk/2p = 50 MHz atomic decayg/2p= 3 MHz cooperativity C =g2/2kg = 85
Outline • Introduction • Cavity QED and single atom detection • Experimental setup • Detection of waveguided atoms • Preparation and detection of trapped single atoms • Detection with minimum backaction • Quantum Zeno effect
Detection of waveguided atoms Principle APD BEC Atomic waveguide a Detection zone LASER … the easiest way to put SINGLE atoms in the cavity
Detection of waveguided atoms Reference with no atoms
Detection of waveguided atoms Single run with atoms
Detection of waveguided atoms Experiment Threshold these are single atoms !!!
Outline • Introduction • Cavity QED and single atom detection • Experimental setup • Detection of waveguided atoms • Preparation and detection of trapped single atoms • Detection with minimum backaction • Quantum Zeno effect
Trapping & detecting the atoms in the cavity mode Transfer magnetic trap Optical dipole trap @ 830nm Experiments with BEC : see Colombe et al. Nature 450 (2007)
BEC in magnetic trap N ~ a few 1000s Y Positioning the BEC in the cavity input fibre output fibre • Initial cloud size ~1mm single-site loading possible. Dipole trap @ 830nm Probe light @ 780nm
How to get to the single atom regime? Vacuum Rabi Splitting with collective enhancement Laser detuning ΔL-A [GHz] Y. Colombe, T. Steinmetz, G. Dubois, F. Linke, D. Hunger and J.Reichel Nature 450 (2007)
F'=0,1,2,3 Cavity tuned to F=2 -> F’=3 transition F=2 Weak MW pulse (@6.8 GHz) ~2% transfer probability/atom F=1 Reservoir (N~10) From the BEC to just a single atom • Problem: Evaporation down to N=1 not possible. • Solution: Extract a single F=2 atom from a ‘reservoir’ of F=1 atoms – and detect it.
dip ! Usual strategy to obtain trapped single atoms “Wait and trap” scheme: • First trapped cavity QED experiments(Caltech, Garching) • Problem: the atom is hot - cooling required(Raman sideband cooling, cavity cooling) • Possible improvement: optical conveyor belt(Bonn, Zurich) • We do differently!We aim at direct preparation in the trap ground state • Analogy with our scheme : position internal state.
“Preparation and detection” iterative sequence time Detection Detection Reservoir preparation mw mw Etc … F’=3 F=2 F=1 ~10 1000
0 or1atom in F=2? nAPD ~ 25 nAPD < 1
Analysis of detection pulses <n>=0.35 <n>=25 • Transfer efficiency 10% • Relative transmission1.4% threshold successful transfers (~10%) unsuccessfultransfers (~90%) after ~10 pulses Reliable preparation
single run Lifetime of the atoms during detection or ??
stat. limit Fit or ?? depump limit Fidelity=99.7% + QND measurement Lifetime of the atoms during detection • Average lifetime 1.2 ms • Limited by depumping to F=1
Outline • Introduction • Cavity QED and single atom detection • Experimental setup • Detection of waveguided atoms • Preparation and detection of trapped single atoms • Detection with minimum backaction • Quantum Zeno effect
Zeeman “random walk”: But not visible in lifetime ! How can we measure spontaneous emission?
Measurement of mF p p p Measurement and preparation of a specific Zeeman state (F=2;mF=0) B
Detection figure of merit : backaction Better than a perfect free space detection ! Possible to prepare a single atom without changing the motional state !
Detection without perturbation ? with L ~ 0.1 : C ~ 20 expected value C ~ 85 ??? • What is the real measurement rate of the system? • for a lossless observer ¡m = ¡inc = C ¡sp • can we check that ???
Outline • Introduction • Cavity QED and single atom detection • Experimental setup • Detection of waveguided atoms • Preparation and detection of trapped single atoms • Detection with minimum backaction • Quantum Zeno effect
Cavity & atomic excited state F=2;mF=0 mw p F=1;mF=0 Quantum Zeno Effect b a m = Coherence decay ratebetween a and b m = Photon input rate ~ 20 £ Spontaneous emission rate
Summary • Preparation of trapped single atoms starting from a BEC: • preparation in a specific Zeeman state qubit clock states • well localized within the cavity • First detector of single atoms on a chip ability to distinguish F=1 from F=2 states with 99.7% fidelity • Demonstrated a Quantum Zeno effect w/o spontaneous emission.
e laser cavity b a Outlook • Characterize the atomic motional stateare we still in the ground state? • Manipulate of pairs of atoms in the cavity Cavity-assisted entanglement generation • Combine with other atom chip technology(state dependent mw potentials) • Quantum memory with BEC and Fiber-cavity - Large collection efficiency - Long storage time
Atomchip-based single atom detectors • Fluorescence (Wilzbach et al. 0801.3255) • Photoionization (Stibor et al PRA 76 (2007)) • Cavity QED (Purdy et al. APB 90 (2008)) 1 3 2
e laser vacuum b a Single atoms – light/matter interface • Single photon source • Atom-photon entanglement • Photon-photon entanglement • Long-distance atom-atom entanglement via entanglement swapping Quantum networks for quantum cryptography - Probabilistic is OK (DLCZ 2002) atomic ensembles possible but coherence time ~ms. - Collection efficiency small with single atoms a cavity helps
Single atom ‘temperature‘ Release and recapture Mean energy < 100 mK (trap depth 2.6 mK)
Single atoms : some fascinating achievements Hong-Ou-Mandel effect Evidence of field quantisation & photon counting Beugnon et al. Nature440 (2006) Massive multi-particle entanglement Brune et al. PRL76 (1996) Mandel et al. Nature 425 (2003)