Modern Optics V special issues on quantum optics. Special topics course in IAMS Lecture speaker: WangYau Cheng 2006/4. Outline. Wave properties of light Polarization of light Concept of linewidth Coherence of light Special issues on quantum optics.
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Special topics course in IAMS
Lecture speaker: WangYau Cheng
2006/4
How come a God given quantum system can be controllable? Laboratory” in IAMS
A quantum system may include: matter quantum states photon states
or
or
or
or
Or …
Atom wavefunction
Electronhole pair
Molecule dynamics
Ionization rate
Cavity modes
Quantum system determined by God
Photon quantum state
Quantum system controlled by human being
Total quantum system then be controllable !
q photon states
m
For exampleMixed state
Atom /
molecule
Dressed
Atom/molecule
Laser pulse
By controlling laser pulse, control Pq to the maximum value
Sysem can be controlled to quantum state
Df photon states
1/
f
rep
F.T.
Df = wDT = 2pd/frep
Femtosecond comb laser  IntroductionTime Domain Frequency Domain
People now can prepare 105 photon coherent states at the same time !
2
Df
E(t)
Time
Domain
t
Phase velocity
Group velocity
=
d
d
I(f)
I(f)
f
f
rep
rep
Frequency
Domain
f
f
0
0
D. Jones, et al. Science, 288, 635, Apr. 28, 2000
Df comes from phase shift of pulse in cavity (averaged on round trip time DT)
Future directions are wide open photon states
How to make a highly reliable, stable, precise, accurate, reproducible
comb photons?
Comb frequency reference to narrowlinewidth atom transition directly!
reproducible
822 nm
Hyperfine structure of Cs atom
coherent
comb
822 nm
852 nm
…
895 nm
470 nm
…
d
….. reproducible
Comprehend by frequency domain
T. H. Yoon, A. Marian, J. L. Hall, and J. Ye, Phys. Rev. A 63, 011402 (2001).
= reproducibleaeiwat
+beiwbt
+ceiwct
F
Fa
Fb
Fc
F
frequency coherently controla. Quantum beats
Be prepared by coherently pump with different frequencies
8 reproducible
S
8
S
1
/
2
nm
nm
822.5
822.5
7
P
=
+
=
f
I
J
5
6
P
3
/
2
6
P
=

=
f
I
J
2
6
P
/
2
1
6
S
6
S
=
+
=
f
I
J
4
1
/
2
=

=
f
I
J
3
Csionization rate controlling?Hyperfine structure of Cs atom
Linewidth:1.5 MHz
4158.06 MHz MHz
coherent
7P1/2: 459.3 nm
comb
D
30 nm
603 MHz
1167.688 MHz
7P3/2: 455.5 nm
852.347 nm
895
nm
d
9192.632 MHz
Controlling ultracold molecular vibrations? reproducible
Control of molecular vibration reproducible
K2 photodissociation channels controlling?Controlling ultracold molecular vibrations?
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