Robert E. Wagner Sophomore Intense Laser Physics Theory Unit Illinois State University Cycloatoms...

Robert E. Wagner

Sophomore

Intense Laser Physics Theory Unit

Illinois State University

Cycloatoms and high order harmonics in moderate intense

laser fields

Support: NSF, Res. Corp., and ISU Honors Program

Laser

Magnetic field

d

dt

mv

1 v2

c2

qE

r , t q

c

v

B o

B

r , t V

r

Relativity without super-strong lasers?

0.20

0.40

0.60

0.80

1.0

0.003 0.004 0.005 0.006

Maximum speed v/c for each

L 0.0043a.u.

E0 0.0500a.u.

non-relativistic

relativistic

L

R.E. Wagner, Q. Su and R. Grobe, Phys. Rev. Lett. 84, 3282 (2000).

Non-relativistic Relativistic

Orbits stayin phase

Orbits dephaserelativistically

Time(in 2L

75

150

500

0

y

x

Cycloatom dynamics=L

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relativistic (exact) dephasing model

Time

75

150

500

0

Relativistic dephasing model

x(t) x vx

sin t vy

cos t 1

2 2

cos( t

cos t

y(t) y vy

sin t vx

cos(t) 1

2 2

1

sin t 1

sin t

replace (V0)

Steady state spatial electron distributionsMultiple resonances

Fractional resonances ≈ 1/2 L ≈ 1/3 L

≈ L

≈ 2 L

≈ 3 L

0

0.4

0.8

1.2

0 0.1 0.2 0.3 0.4 0.5

[a.u.]

= L

= L/2

= 2L

= 3L

= 3L/2

= 2L/3

= L/3

=

L/4

=

L/5

P.J. Peverly, R.E. Wagner, Q.Su and R. Grobe, Las. Phys. 10, 303 ( 2000).Q. Su, R.E. Wagner, P.J. Peverly, and R. Grobe, Front. Las. Phys. p. 117-123 (Springer, 2000).

Cycloatom dynamics=1/2 L

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100

102

104

0 4 8 12 16 200 4 8 12 16 20

100

102

104

Scattered light spectra

non-relativistic relativistic

R.E. Wagner, et al, PRA 60, 3233 (1999)

Quantum Mechanical Cycloatoms?

it

ic A V(r)Dirac

Liouville

J. Braun, Q. Su and R. Grobe, PRA 59, 604 (1999)

P. Peverly, R. Wagner, Q. Su and R. Grobe, Las Phys. 10, 303 (2000)

H c4 c2 (p A / c)2 V(r)

t

(x, p,t) H

x

p

H

p

x

DiracLiouville

Confirmed: Dirac Cycloatoms

P. Krekora, R. Wagner, Q. Su and R. Grobe, PRA, submitted

Summary• Cycloatoms reveal new relativistic phenomena

• Novel resonances => possible experiments

[1] R.E. Wagner, Q. Su and R. Grobe, Phys. Rev. Lett. 84, 3282 (2000).[2] R.E. Wagner, Q. Su, and R. Grobe, Phys. Rev. A 60, 3233, 1999.[3] R.E. Wagner, P.J. Peverly, Q. Su and R. Grobe, Phys. Rev. A 61, 35402(2000).[4] P.J. Peverly, R.E. Wagner, Q.Su and R. Grobe, Las. Phys. 10, 303 ( 2000).[5] P. Krekora, R.E. Wagner, Q. Su and R. Grobe, PRA, submitted.[6] Q. Su, R.E. Wagner, P.J. Peverly, and R. Grobe, Front. Las. Phys. p. 117-123 (Springer, 2000).

www.phy.ilstu.edu/ILP

Undergraduate Student travel grant (DAMOP)