Cycloatoms and high order harmonics in moderate intense

Cycloatoms and high order harmonics in moderate intense laser fields Robert E. Wagner Sophomore Intense Laser Physics Theory Unit Illinois State University Support: NSF, Res. Corp. , and ISU Honors Program

Relativity without super-strong lasers? Magnetic field Laser

Maximum speed v/c for each W nonrelativistic w. L W R. E. Wagner, Q. Su and R. Grobe, Phys. Rev. Lett. 84, 3282 (2000).

Non-relativistic Relativistic 0 75 150 y 500 x Orbits stay in phase Time (in 2 p/w. L) Orbits dephase relativistically

Cycloatom dynamics W=w. L

Relativistic dephasing model relativistic (exact) dephasing model 0 75 150 500 replace W W + DW (V 0) Time

Steady state spatial electron distributions Multiple resonances W ≈ w. L W ≈ 2 w. L Fractional resonances W ≈ 1/2 w. L W ≈ 1/3 w. L W ≈ 3 w. L 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 W=1/2 w. L

Scattered light spectra non-relativistic R. E. Wagner, et al, PRA 60, 3233 (1999)

Quantum Mechanical Cycloatoms? Liouville P. Peverly, R. Wagner, Q. Su and R. Grobe, Las Phys. 10, 303 (2000) Dirac J. Braun, Q. Su and R. Grobe, PRA 59, 604 (1999)

Liouville Dirac 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). Undergraduate Student travel grant (DAMOP) www. phy. ilstu. edu/ILP