QUEST - Centre for Quantum Engineering and Space-Time Research Single mode squeezing for Interferometry beyond shot noise Bernd Lücke J. Peise, M. Scherer, J. Kruse, O. Topic, W. Ertmer, C. Klempt Institute of Quantum Optics, Leibniz Universität Hannover, Germany G. Gebreyesus, F. Deuretzbacher, L. Santos Institute of Theoretical Physics , Leibniz Universität Hannover, Germany J. Arlt QUANTOP, Institut for Fysik og Astronomi, Aarhus Universitet, Denmark P. Hyllus, A. Smerzi INO-CNR BEC Center and Dipartimento di Fisica, Universita‘ di Trento, Italy L. Pezze Laboratoire Charles Fabry, Institut d’Optique, 91127 Palaiseau, France
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QUEST - Centre for Quantum Engineering and Space-Time Research Single mode squeezing for Interferometry beyond shot noise Bernd Lücke J. Peise, M. Scherer,
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QUEST - Centre for Quantum Engineering and Space-Time Research
Single mode squeezing for Interferometry beyond shot noise
Bernd Lücke
J. Peise, M. Scherer, J. Kruse, O. Topic, W. Ertmer, C. KlemptInstitute of Quantum Optics, Leibniz Universität Hannover, Germany
G. Gebreyesus, F. Deuretzbacher, L. SantosInstitute of Theoretical Physics , Leibniz Universität Hannover, Germany
J. ArltQUANTOP, Institut for Fysik og Astronomi, Aarhus Universitet, Denmark
P. Hyllus, A. SmerziINO-CNR BEC Center and Dipartimento di Fisica, Universita‘ di Trento, Italy
L. PezzeLaboratoire Charles Fabry, Institut d’Optique, 91127 Palaiseau, France
QUEST - Centre for Quantum Engineering and Space-Time Research
A typical interferometer
Counter
| α >
θ
θest
| 0 >
N-1
N+1
π 2π 3π
θ
< N
+1
- N
-1 >
S
θest2
QUEST - Centre for Quantum Engineering and Space-Time Research
The origin of shot noise
-5 -3 -1 +1 +3 +5
cou
nts
7
6
5
4
3
2
1
N+1 - N-1
3
QUEST - Centre for Quantum Engineering and Space-Time Research
The origin of shot noise
+1
+1
+1
-1
+1
+3
cou
nts
7
6
5
4
3
2
1
N+1 - N-1
-5 -3 -1 +1 +3 +5
4
QUEST - Centre for Quantum Engineering and Space-Time Research
The origin of shot noise
cou
nts
7
6
5
4
3
2
1
-1
-1
+1
-1
+1
-1 N+1 - N-1
-5 -3 -1 +1 +3 +5
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QUEST - Centre for Quantum Engineering and Space-Time Research
The origin of shot noise
cou
nts
7
6
5
4
3
2
1
N
N+1 - N-1
-5 -3 -1 +1 +3 +5
6
QUEST - Centre for Quantum Engineering and Space-Time Research
Shot noise limited sensitivity
π 2π 3π
θ
< N
+1
- N
-1 >
NN
N
S
Sest
1
/
S
θest
7
QUEST - Centre for Quantum Engineering and Space-Time Research
How can you beat this limit?
uncorrelated particles
shot-noise limit
entangled particles
Heisenberg limitN
est
1
Nest
1
8
QUEST - Centre for Quantum Engineering and Space-Time Research
Twin-Fock interferometer
Introduction
outline
N| N||
Fock state interferometerN| N||
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QUEST - Centre for Quantum Engineering and Space-Time Research
Spin dynamics as a source of entanglement
mF: -1 0 +1
2nd quantization 1st quantization
1,1|| ,|,|~|
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QUEST - Centre for Quantum Engineering and Space-Time Research