Cold Atoms and Molecules: Condensed Matter Physics & Quantum ...
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![Page 1: The physics of cold atoms from fundamental problems to ... physics of cold atoms from fundamental problems to time measurement and quantum technologies Lima, 20 October 2016 10-5 Kelvin](https://reader034.fdocuments.in/reader034/viewer/2022051508/5aaae0997f8b9a86188e9b60/html5/thumbnails/1.jpg)
Michèle Leduc
The physics of cold atoms
from fundamental problems
to time measurement and quantum technologies
Lima, 20 October 2016
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10-5
Kelvin
10-6
Kelvin
10-4
Kelvin
10-3
Kelvin
10-2
Kelvin
10-1
Kelvin
100 Kelvin
105 Kelvin
104 Kelvin
103 Kelvin
102 Kelvin
101 Kelvin
earth
Liquid helium Cosmic background
radiation
Cloud of ultracold atoms
Bose-Einstein-Condensate
Surface of the sun
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Outlook
• Principles of laser cooling and trapping
• Bose-Einstein condensation
• Quantum simulations with cold atoms
• Cold atom instruments (clocks, gravimeters…)
• Quantum communication
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Principles
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Absorption of a photon
Conservation of energy and momentum:
The atom receives a kick
Cooling an atom with radiation pressure
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Slowing an atom with radiation pressure
Doppler cooling : friction force
wL
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3D trapping
Doppler friction forces
Optical molasses
Temperature : 1 à 10 micro K, velocity 7mm/s
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Coils anti-Helmholtz
Polarised light
Universal tool in atomic physics
The magneto-optical trap
Restauring force
1 billion atoms at 1 mK
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Strontium atoms in a MOT
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1997 Physics Nobel prize
W. Phillips, S. Chu and C. Cohen-Tannoudji
"for development of methods to cool and trap atoms with
laser light"
Cooling and trapping of atoms
Zeeman Slower
Molasses First realization of
the magneto-optical
trap
Sub-Doppler
cooling mechanism
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The dipolar optical trap
Laser beams focussed and detuned from resonance
Atoms attracted to the high intensity regions
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Bose-Einstein
Condensation
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A pure quantum phenomenon
14
De Broglie hypothesis:
With every particle of matter with mass m and velocity v a real
wave must be associated related to the momentum by the
equation:
mv
hdB
High temperature: λdB << d
Particles like
Low temperature: λdB > 10-10 m
Wave behaviour
T=Tc : λdB > d Overlap of the wave
functions
BEC
T=0 K : All particles are in the ground state
BEC
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Density in phase space
1~3
dBn
In a magneto-optical trap
n3 = 10-7
T=Tc : λdB > d
Overlap of the wave
functions
BEC
A phase transition occurs when
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F=1,m=1
F=1,m=0
F=1,m=-1
z
radio
frequence
Based on energy redistribution by elastic collisions
Evaporative cooling
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T>Tc
T<Tc
T<<Tc
Observation of Bose-Einstein
Condensation 1995
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First condensates of dilute gases in 1995
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Interference between
2 Bose-Einstein Condensates
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Lattice of vortices in a BEC
Similar to Abricosov lattices in super conductors in magnetic fields
Vortices generation in a condensate
Stirring a laser spoon
with increasing velocity
Bose-Einstein Condensates are superfluid
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London makes a connection between
superfluidity and BEC of gases
Discovery of superfluidity of liquid
helium (Kapitza, Allen, Misener, 1938)
Manifestations Bose-Einstein statistics
Discovery of superconductivity
of metals (1911 et 1954)
Discovery of BEC quantum gases (1995)
Evidence for the superfluidity of BEC gases (1998)
Prediction of gas condensation
by Bose and Einstein (1924)
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Atomic Bose-Einstein Condensates
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Quantum simulations
with cold atoms
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Creating a lattice potential
1D, 2D, 3D optical lattices
2D
3D
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Transition BEC / Mott insulator
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superfluide
Isolant de Mott
From superfluid to Mott insulator
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Images of individual atoms
in an optical lattice
MPQ Munich 2010
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n=1 n=1 et 2
J. Sherson, C. Weitenberg, M. Endres, M. Cheneau, I. Bloch and S. Kuhr, Nature,467, 2010
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Stirring a 2D Bose-Einstein gas
Clear evidence for a critical velocity for vortices generation
Kosterlitz-Thouless phase transition
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Bose-Einstein statistics (1924)
Bose-Einstein condensate
Bose enhancement
Fermi-Dirac statistics (1926)
EF
Fermi sea
Pauli Exclusion
Quantum statistics
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• Artificial crystals using optical lattices
• Electrons, holes and impurities = fermions
Questions:
• High Tc Superconductivity (2D)
• Anderson localization (40K = impurities)
• Néel phase: antiferromagnetism
• Quantum Hall effect in 2D Fermi gas
Quantum simulation of n-particles physics problems
with ultracold fermions
TNéel~ 30 nK
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Cold atom instruments
Clocks, gravimeters…
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The Hewlett Packard atomic clock
Measurement of the frequency of the hyperfine splitting
of the ground state of Cs133 at 9.9 GHz
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The fountain clock
laser cooling : 4 microKelvin
rms velocity : 7 mm/s
Interrogation time : seconds
Precision increased by a factor 100…
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The first atomic fountain clock
10-15
Relative accuracy
Paris Observatory
Drift less than
1 second in 1 million years
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BNM-SYRTE, FR NIST, USA PTB, D
Atomic fountain clocks in the world
in many countries
Build-up of the TAI (international atomic time)
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The cold atom clock PHARAO
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A technological challenge
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An atomic clock on the International Space Station
PHARAO
H-MASER
•Time reference for all over the Earth
•Validation of space clocks
•Tests of fundamental physics
2017
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Prediction of general relativity
Einstein gravitationnal redshift
U1
U2
2
12
1
2 1c
UU
ν
ν
Redshift measurement with ACES clocks at 10-16 : an improvement of 35 over GPA, 1978
U2
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36 × 10-18
The ion clock of Dave Wineland at Boulder
33
cm
General relativity test: clocks 33 cm apart in gravitational fields tick at different rates!
Measured: (37 +/- 15 cm)
Expected: (33 cm)
C. W. Chou, et al.
Science 329, 1630 (2010)
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Optical cold atom clocks
Atoms interrogated in an optical lattice
Long interaction time
Large number of atoms
Atoms at rest
Small frequency shifts
Excellent frequency stability
Measurement of a frequence
in the optical domain rather than Rf:
Large gain in precision
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Accuracy of atomic clocks
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Clocks for earth science
New Coherent Optical Fiber Link Network
► Remote clock comparisons to determine gravity potential differences
► Sensitivity: 10-18 1 cm in height
► Sense geophysical phenomena (sisimic…)
► Improve references: global/local geoid models, height of tide gauges, etc.
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Interferometers with matter waves
112
10
h
mc
optic
atomicFor the same area between the arms
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Cold atom gravimeter Sensitivity :2 10-8g @ 1s
Accuracy : 5 10-9g 12 days of continuous operation
Test of the equivalende prnciple In 0-g
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Tremblement de terre en Chine le 20 mars 2008 (magnitude 7,7)
The atomic gravimeter at
Observatoire de Paris
Earthquake in China in 2008
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Mater wave gravimeter now avaible
20 kg
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Quantum communications
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« Quantum Networks » Fundamental scientific questions and diverse experimental challenges
Quantum node generate, process, store
quantum information locally Quantum channel transport / distribute quantum information
over the entire network Distributed Q. computing
Scalable Q. Communication Quantum resource sharing
Quantum simulation
Experimental implementation ?
• Physical processes for reliable generation, processing, & transport of quantum states
• A quantum interface between matter and light
‘Quantum Memory’
Experimental implementation ?
• Physical processes for reliable generation, processing, & transport of quantum states
• A quantum interface between matter and light
‘Quantum Memory’
in out
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Quantum Cryptography at Work
Real size demonstration of a secure quantum cryptography network Project SECOQC, Vienna, October 2008
IO/Thales CV link – 9km
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Light-Matter Interfaces
Mapping light quantum superposition into quantum superposition of elements of the
storing medium
Photonic Qubit
write
read
QM
Atomic ensembles Single Atom
Example for storage of a single photon
Requires a high-finesse cavity
(CQED)
Example for storage of a single photon
Light easily interact with the sample Collective state (enhancement)
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Quantum Memories
But |a> and |b> usually have to be ground states to avoid fast
decoherence
General recipe: Two ground states connected via an excited state by a
control field
Photonic Qubit
Other desiderata : , bandwidth, memory time, multimode…
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55
The resource : Electromagnetically induced transparency (EIT)°
Reduced group velocity
Control
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Mapping a signal In and Out
When the pulse has been spatially compressed into the medium, the control
field is adiabatically switched off.
The quantum state of light is in this way transferred to the atomic coherence
between the two ground states.
on demand, by switching on again the control field, the coherence is mapped back
to light field.
Example with cold atoms at LKB
Memory time
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Conclusion
The field of cold atoms is 30 years old,
but still in full expansion for :
• Quantum simulations of condensed matter phenomena
• Precision instruments (clocks, gyroscopes, interferometers)
• Secure inter-cities quantum communications