Pulse-train control of multiphoton transitions in anharmonic progressions: Resonance loci and resonance ridges

(1)

(2)

(3)

δ_ptp

field amplitude

time

∆_ptp

4-train

T₄ -25

-20 -15 -10 -5 0 5

3> 3LS

embedded 3LS

6LS

level energy / 10-3 au ^2>

1>

Ι>

F> F>

+>

− >

0.2

0.2 0.2

0.2

6>

5>

4>

3>

2>

1>

(4)

(5)

(6)

0 10 20

time / ps

0.0 0.5 1.0

0.0 0.2 0.4 0.6 0.8 1.0

po pu latio n

0.0 0.5 1.0

0.0 0.2 0.4 0.6 0.8 1.0

0.0 0.5 1.0

0.0 0.2 0.4 0.6 0.8 1.0

ptp phase shift / 2

π 4

6 10 12

2

ptp delay / ps

embedded 3LS: 4/8/16-trains at

ω^IF₀

3 4

6 8

8

(7)

0 10 15 20 25

0.0 0.5 1.0

0.0 0.2 0.4 0.6 0.8 1.0

po pu lat io n

6LS, 8/16/24-trains at

ω₀^IF

1.4 1.6 1.8 2.0 2.2 2.4

0.0 0.5 1.0

0.0 0.2 0.4 0.6 0.8 1.0

ptp phase shift / 2

π

1.0 1.2 1.4 1.6

ptp delay / ps

0 5 10 15 20

time / ps

0.0 0.5 1.0

0.0 0.2 0.4 0.6 0.8 1.0

3.0 3.5 4.0 4.5 05 10 15 20 25

5

(8)

0 10 20

time / ps

0.0 0.5 1.0

0.0 0.2 0.4 0.6 0.8 1.0

popu latio n

0.0 0.5 1.0

0.0 0.2 0.4 0.6 0.8 1.0

0.0 0.5 1.0

0.0 0.2 0.4 0.6 0.8 1.0

ptp phase shift / 2

π

10 20

10 20 30

10 20

ptp delay / ps

embedded 3LS: 4/8/16-trains detuned from

ω^IF₀

(9)

0 10 15 20 25

0.0 0.5 1.0

0.0 0.2 0.4 0.6 0.8 1.0

pop ula tion

6LS, 8/16/24-trains detuned from

ω^IF₀

1.4 1.6 1.8 2.0 2.2 2.4

0.0 0.5 1.0

0.0 0.2 0.4 0.6 0.8 1.0

ptp phase shift / 2

π

1.0 1.2 1.4 1.6

ptp delay / ps

0 10 15 20

time / ps

0.0 0.5 1.0

0.0 0.2 0.4 0.6 0.8 1.0

3.0 3.5 4.0 4.5 0 5 10 15 20 25

5

(10)

5 10 15 20 25 0.00

0.25 0.50 0.75 1.00

0 0.2 0.4 0.6 0.8 1.0

a

5 10 15 20 25

0.00 0.25 0.50 0.75

1.00

b

ptp phase shift / 2

π

5 10 15 20 25

0.00 0.25 0.50 0.75

1.00

c

ptp delay / ps

43.2 43.4 43.6 43.8 44.0 44.2 0

4 8 12

47.0 47.2 47.4 47.6 47.8 48.0 0

20 40 60 80

c b aa

5

4

3 2

ω^IF₀

4-trains

emb.

3LS

1

a b

6LS

8-trains 4-trains

train a m pl itud e / 1 0

-4

au

circular frequency / 10

^-4

au

ω^IF₀ 2-trains

(11)

0.002 0.003 0.004 0.005 0.006

ω^IF₀

a

0.20 0.25 0.30 0.35 0.40

0.002 0.003 0.004 0.005 0.006

b

ptp phase shift / 2π

ω=0.004778 au

tr ain am p litu de / au

0 0.2 0.4 0.6 0.8 1.0

0.0 0.2 0.4 0.6 0.8

1.0 _{π at ω}^IF

0

po pu lat io n

3 at ^IF₀ 5 at ^IF₀

0 10 15 20 25

0.0 0.2 0.4 0.6 0.8

1.0 _{7 at} IF

0

0 10 15 20 25

9 at ^IF₀

time / ps

0 10 15 20 25

11 at ^IF₀

5 5 5

π ω π ω

π ω π ω π ω

P

(12)

popu lati on

(5) π at ω^IF₀ (4) π at ω 0.004352 au

0.0 0.2 0.4 0.6 0.8

1.0 (3)π/7π coalescence

0 5 10 15 20 25

(1)π at ω^IF₀

0 5 10 15 20 25

(2)π at ω 0.004352 au

time / ps

0 5 10 15 20 25

0.0 0.2 0.4 0.6 0.8

1.0 (3) /7ππ coalescence

7 7