robert e. wagner sophomore intense laser physics theory unit illinois state university what are...
TRANSCRIPT
Robert E. Wagner
Sophomore
Intense Laser Physics Theory Unit
Illinois State University
What are Cycloatoms?
Support: NSF, Res. Corp., and ISU Honors Program
More Technical:
Use RK4 to solve this
Laser
Magnetic field
d
dt
mv
1 v2
c2
qE t q
c
v
B o
B t V
r
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
Can we use classical mechanics to approximate quantum????
realization in terms of classical particles
|(r)|2
High probability
Large density
Can we use classical mechanics to approximate quantum????
? ? ? ?
Summary
1. Pqm(r,t=0) => Pcl(r,t=0)
2. realize Pcl(r,t=0) in terms of 100,000 single trajectories
3. solve time evolution of each trajectory
4. compute a “smoothed” histogram = Pcl(r,t)
choose wisely:Pcl
r , t exp
r
r n (t) 2
22
n1
100,000
too small too large
Non-relativistic Relativistic
Orbits stayin phase
Orbits dephaserelativistically
Time(in 2L
75
150
500
0
y
x
Non-relativistic Movie
=L
QuickTime™ and aGIF decompressor
are needed to see this picture.
Relativistic Movie
=L
QuickTime™ and aGIF decompressor
are needed to see this picture.
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
Q. Su, R.E. Wagner, P.J. Peverly & RG, SPIE (in press)
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
Fractional Resonance
=1/2 L
QuickTime™ and aGIF decompressor
are needed to see this picture.
Fractional Resonance
=1/3 L
QuickTime™ and aGIF decompressor
are needed to see this picture.
SummaryRelativity leads to new phenomena in
the spatial and temporal dynamics
• novel resonances => novel experiments • cycloatoms
• dephasing
[1] R.E. Wagner, Q. Su and R. Grobe, Phys. Rev. Lett. (April, 2000).[2] R.E. Wagner, Q. Su, and R. Grobe, Phys. Rev. A 60, 3233, 1999.[3] P.J. Peverly, R.E. Wagner, Q.Su and R. Grobe, Las. Phys. 10, 303 ( 2000).[4] Q. Su, R.E. Wagner, P.J. Peverly, and R. Grobe, SPIE (in press).[5] R.E. Wagner, P.J. Peverly, Q. Su and R. Grobe, Phys. Rev. A (in press).
www.phy.ilstu.edu/ILP