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Cavity Quantum Electrodynamics
Filippo G. Cosi
29. Mai 2013
Motivation
What is cavity Quantum Electrodynamics?
I.Schuster, MPQ, Garching
Contents
Introduction
Normal-mode spectroscopy of a Single-Bound-Atom-Cavity System
Nonlinear spectroscopy of photons bound to one atom
Photon blockade
Summary
The Jaynes-Cummings Model
· Atom + Cavity
6
ωa
g
e
Atom
`6
6
ωc
ωc
|0〉
|1〉
|2〉
|n〉
Cavity field|0〉
|1,−〉−g|1,+〉+g
|2,−〉−√
2g
|2,+〉+√
2g` |n,−〉−
√ng
|n,+〉+√
ng
6
6
ω0
ω0
Atom + Cavity
The Jaynes-Cummings Model
· Atom + Cavity
6
ωa
g
e
Atom
`6
6
ωc
ωc
|0〉
|1〉
|2〉
|n〉
Cavity field|0〉
|1,−〉−g|1,+〉+g
|2,−〉−√
2g
|2,+〉+√
2g` |n,−〉−
√ng
|n,+〉+√
ng
6
6
ω0
ω0
Atom + Cavity
The Jaynes-Cummings Model
· Atom + Cavity
6
ωa
g
e
Atom
`6
6
ωc
ωc
|0〉
|1〉
|2〉
|n〉
Cavity field
|0〉
|1,−〉−g|1,+〉+g
|2,−〉−√
2g
|2,+〉+√
2g` |n,−〉−
√ng
|n,+〉+√
ng
6
6
ω0
ω0
Atom + Cavity
The Jaynes-Cummings Model
· Atom + Cavity
6
ωa
g
e
Atom
`6
6
ωc
ωc
|0〉
|1〉
|2〉
|n〉
Cavity field|0〉
|1,−〉−g|1,+〉+g
|2,−〉−√
2g
|2,+〉+√
2g` |n,−〉−
√ng
|n,+〉+√
ng
6
6
ω0
ω0
Atom + Cavity
The Jaynes-Cummings Model
· Atom + Cavity
6
ωa
g
e
Atom
`6
6
ωc
ωc
|0〉
|1〉
|2〉
|n〉
Cavity field|0〉
|1,−〉−g|1,+〉+g
|2,−〉−√
2g
|2,+〉+√
2g` |n,−〉−
√ng
|n,+〉+√
ng
6
6
ω0
ω0
Atom + Cavity
The Jaynes-Cummings Model
· Atom + Cavity
ωn+1,± = nωc + 12 (ωa + ωc)
± 12
√4g2(n + 1) + (ωa − ωc)2
6
ωa
e
g
Atom
`6
6
ωc
ωc
|0〉
|1〉
|2〉
|n〉
Cavity field|0〉
|1,−〉−g|1,+〉+g
|2,−〉−√
2g
|2,+〉+√
2g` |n,−〉−
√ng
|n,+〉+√
ng
6
6
ω0
ω0
Atom + Cavity
The Jaynes-Cummings Model
· Atom + Cavity
ωn+1,± = nωc + 12 (ωa + ωc)
± 12
√4g2(n + 1) + (ωa − ωc)2
6
ωa
e
g
Atom
`6
6
ωc
ωc
|0〉
|1〉
|2〉
|n〉
Cavity field|0〉
|1,−〉−g|1,+〉+g
|2,−〉−√
2g
|2,+〉+√
2g` |n,−〉−
√ng
|n,+〉+√
ng
6
6
ω0
ω0
Atom + Cavity
Introduction
Normal-mode spectroscopy of a Single-Bound-Atom-Cavity System
Nonlinear spectroscopy of photons bound to one atom
Photon blockade
Summary
Normal-mode spectroscopy of a Single-Bound-Atom-Cavity SystemExperimental setup and Theory
P.Maunz, MPQ, Garching
I. Schuster, MPQ, Garching
Normal-mode spectroscopy of a Single-Bound-Atom-Cavity SystemExperimental setup and Theory
P.Maunz, MPQ, Garching
I. Schuster, MPQ, Garching
Normal-mode spectroscopy of a Single-Bound-Atom-Cavity SystemExperimental setup and Theory
P.Maunz, MPQ, Garching
I. Schuster, MPQ, Garching
Normal-mode spectroscopy of a Single-Bound-Atom-Cavity SystemResults
· Stark shift ⇒ asymmetricnormal modes· P = 280nW no atom-cavity
detuning
P.Maunz, MPQ, Garching
|1,+〉
P.Maunz, MPQ, Garching
-� 2g
Normal-mode spectroscopy of a Single-Bound-Atom-Cavity SystemResults
· Stark shift ⇒ asymmetricnormal modes· P = 280nW no atom-cavity
detuning
P.Maunz, MPQ, Garching
|1,+〉
P.Maunz, MPQ, Garching
-� 2g
Normal-mode spectroscopy of a Single-Bound-Atom-Cavity SystemResults
· Stark shift ⇒ asymmetricnormal modes· P = 280nW no atom-cavity
detuning
P.Maunz, MPQ, Garching
|1,+〉
P.Maunz, MPQ, Garching
-� 2g
Introduction
Normal-mode spectroscopy of a Single-Bound-Atom-Cavity System
Nonlinear spectroscopy of photons bound to one atom
Photon blockade
Summary
Nonlinear spectroscopy of photons bound to one atom
I. Schuster, MPQ, Garching
· Idea: adressing higher excitedstates.· two exciting photons needed
I. Schuster, MPQ, Garching
· Two different detuning axis
Nonlinear spectroscopy of photons bound to one atomResults 1
· |2,−〉 level small resonance in the transmition spectrum· red-dashed line: single photon transition
I. Schuster, MPQ, Garching
Nonlinear spectroscopy of photons bound to one atomResults 2
I. Schuster, MPQ, Garching
· Only |2,−〉 and |3,−〉 levels· red-dashed line: single
photon transition
I. Schuster, MPQ, Garching
Introduction
Normal-mode spectroscopy of a Single-Bound-Atom-Cavity System
Nonlinear spectroscopy of photons bound to one atom
Photon blockade
Summary
Photon blockade in an optical cavity with one trapped atomTheory
|0〉
��|1,+〉
@@ |1,−〉
��
|2,+〉
AA |2,−〉
6ωp
6ωp
6
ω0
6
ω0
?g
?
√2g
Atom-cavity level diagram
· Idea: using the |1,−〉 level
· subpoissonian photon statistic· Photon blockade (anti-bunching)
K. M. Birnbaum, California Institute of Technology, USA
Photon blockade in an optical cavity with one trapped atomTheory
|0〉
��|1,+〉
@@ |1,−〉
��
|2,+〉
AA |2,−〉
6ωp
6ωp
6
ω0
6
ω0
?g
?
√2g
Atom-cavity level diagram
· Idea: using the |1,−〉 level· subpoissonian photon statistic· Photon blockade (anti-bunching)
K. M. Birnbaum, California Institute of Technology, USA
Photon blockade in an optical cavity with one trapped atomTheory
|0〉
��|1,+〉
@@ |1,−〉
��
|2,+〉
AA |2,−〉
6ωp
6ωp
6
ω0
6
ω0
?g
?
√2g
Atom-cavity level diagram
· Idea: using the |1,−〉 level· subpoissonian photon statistic· Photon blockade (anti-bunching)
K. M. Birnbaum, California Institute of Technology, USA
Photon blockade in an optical cavity with one trapped atomResults
K. M. Birnbaum, California Institute of Technology, USA
· anti-bunching, g(2)(0) ' 0.13· Photon-photon interaction· relaxation time: τ ' 45 ns.
Summary
· Spectroscopy of the normal modes of a single atom in a cavity
· Multi-photon nonlinear spectroscopy of an atom coupled to acavity
· Photon blockade with one single atom in an optical cavity
Summary
· Spectroscopy of the normal modes of a single atom in a cavity
· Multi-photon nonlinear spectroscopy of an atom coupled to acavity
· Photon blockade with one single atom in an optical cavity
Summary
· Spectroscopy of the normal modes of a single atom in a cavity
· Multi-photon nonlinear spectroscopy of an atom coupled to acavity
· Photon blockade with one single atom in an optical cavity
Summary
· Spectroscopy of the normal modes of a single atom in a cavity
· Multi-photon nonlinear spectroscopy of an atom coupled to acavity
· Photon blockade with one single atom in an optical cavity
Summary
· Spectroscopy of the normal modes of a single atom in a cavity
· Multi-photon nonlinear spectroscopy of an atom coupled to acavity
· Photon blockade with one single atom in an optical cavity
Thank you for your attention
Literature
Birnbaum K.M., Boca A., Miller R., Boozer A. D., Northup T. E., andKimble H. J.Photon blockade in an optical cavity with one trapped atom.Technical Report Nature 436, 87-90 (7 July 2005), California Institute ofTechnology, California, 2005.
P. Maunz, T. Puppe, I. Schuster, N. Syassen, P.W.H. Pinkse, andG. Rempe.Normal-mode spectroscopy of a single-bound-atom-cavity system.Technical Report PhysRevLett 94, January 2005, Max-Planck-Institut furQuantenoptik, Garching, Germany, 2005.
I. Schuster, A. Kubanek, A. Fuhrmanek, T. Puppe, P. W. H. Pinkse,K. Murr, and G. Rempe.Nonlinear spectroscopy of photons bound to one atom.Technical Report Nature physics, VOL 4, May 2008, Max-Planck-Institutfur Quantenoptik, Garching, Germany, 2008.
Ingrid Schuster.Nonlinear spectroscopy of a single-atom-cavity system.PhD thesis, Technische Universitat Munchen, 2008.
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