characterization and optimization of entangled states produced by a self-phase-locked opo j. laurat,...
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![Page 1: Characterization and optimization of entangled states produced by a self-phase-locked OPO J. Laurat, G. Keller, J.A.O. Huguenin T. Coudreau, N. Treps,](https://reader030.vdocuments.net/reader030/viewer/2022032704/56649d455503460f94a22678/html5/thumbnails/1.jpg)
Characterization and optimization
of entangled states produced by a self-phase-locked OPO
J. Laurat, G. Keller, J.A.O. Huguenin
T. Coudreau, N. Treps, C. Fabre
Laboratoire Kastler Brossel, ENS, CNRS, UPMC
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Frisno 8, february 2005 2
QuantumInformation
MeasuringEntanglement
OPOs
Optimizingentanglement
ConclusionsPerspectives
“Non-separables” states
Intense beams : quadratures of the
electromagnetic field
Quantum information with intense beams
Principes
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Frisno 8, february 2005 3
QuantumInformation
MeasuringEntanglement
OPOs
Optimizingentanglement
ConclusionsPerspectives
Qualifying inseparability
InseparabilityL.M. Duan et al., C. Simon (PRL 2000)
Measuring entanglement
Frequency-degenerate operation required
Entanglement $ Squeezing
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Frisno 8, february 2005 4
QuantumInformation
MeasuringEntanglement
OPOs
Optimizingentanglement
ConclusionsPerspectives
Covariance matrix formalism
Single-mode covariance matrix
Covariance matrix and squeezing
characterizes completely the state
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Frisno 8, february 2005 5
QuantumInformation
MeasuringEntanglement
OPOs
Optimizingentanglement
ConclusionsPerspectives
Two-mode covariance matrix
Two-mode covariance matrix
Measuring entanglement
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Frisno 8, february 2005 6
QuantumInformation
MeasuringEntanglement
OPOs
Optimizingentanglement
ConclusionsPerspectives
Parametric down-conversion
Triply resonant optical cavity
Principle of OPOs
OPO
Principles
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Frisno 8, february 2005 7
QuantumInformation
MeasuringEntanglement
OPOs
Optimizingentanglement
ConclusionsPerspectives
Specificities of OPOs
Oscillation threshold
Emission of intense, coherent beams
Orthogonally-polarized beams
(“type II” phase matching)
Pin
Pout
Principles
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Frisno 8, february 2005 8
QuantumInformation
MeasuringEntanglement
OPOs
Optimizingentanglement
ConclusionsPerspectives
P um p(5 3 2 n m )
M 1 M 2 (2 ) cristal
(K T P )
Ensuring frequency-degenerate operation
Signal and idler frequency difference “arbitrary”Synchronizing/phase-locking two oscillatorsAdd a linear coupling
Frequency & phase - locking of signal and idler
P um p(5 3 2 n m )
M 1 M 2 (2 ) cristal
(K T P )
Waveplate( /4 )
SPL OPO
Mason & Wong, Opt. Lett. (1998)
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Frisno 8, february 2005 9
QuantumInformation
MeasuringEntanglement
OPOs
Optimizingentanglement
ConclusionsPerspectives
Above threshold
Simultaneous measurement of amplitude correlations and phase anti-correlations
Abovethreshold
Excess phase noise
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Frisno 8, february 2005 10
QuantumInformation
MeasuringEntanglement
OPOs
Optimizingentanglement
ConclusionsPerspectives
Below threshold – “Aligned” waveplate
Measurement apparatus
Measurement results
Belowthreshold
F 4
@ 2 2 .5 °
F 3
F 5
O P O
local oscillator
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Frisno 8, february 2005 11
QuantumInformation
MeasuringEntanglement
OPOs
Optimizingentanglement
ConclusionsPerspectives
Below threshold – “aligned” waveplate
Covariance matrix
Inseparability
Belowthreshold
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Frisno 8, february 2005 12
QuantumInformation
MeasuringEntanglement
OPOs
Optimizingentanglement
ConclusionsPerspectives
Below threshold – rotated waveplate
Noise variances
Covariance matrix
Inseparability
Belowthreshold
F
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Frisno 8, february 2005 13
QuantumInformation
MeasuringEntanglement
OPOs
Optimizingentanglement
ConclusionsPerspectives
Below threshold – maximizing entanglement
Performing a non-local operation
InseparabilityCovariance matrix
F 4
F 1
F 5
F 3
O P O
F 4
F 1
F 5
F 3
O P Olocal
oscillator
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Frisno 8, february 2005 14
QuantumInformation
MeasuringEntanglement
OPOs
Optimizingentanglement
ConclusionsPerspectives
Conclusions
Self-Phase Locked OPO a good tool to
produce entangled states
Self-Phase Locked OPO a good tool to
show the general properties of
entangled states
Polarization elements a good tool to
manipulate entanglement
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Frisno 8, february 2005 15
QuantumInformation
MeasuringEntanglement
OPOs
Optimizingentanglement
ConclusionsPerspectives
Perspectives
Working above threshold
Full measurement of the covariance
matrix
Higher dimensions
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