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

Relativity without super-strong lasers? Magnetic field Laser

W Maximum speed v/c for each W non- relativistic relativistic wL R.E. Wagner, Q. Su and R. Grobe, Phys. Rev. Lett. 84, 3282 (2000).

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

Cycloatom dynamics W=wL

Relativistic dephasing model relativistic (exact) dephasing model Time 75 150 500 replace W  W + DW (V0)

Steady state spatial electron distributions Multiple resonances W ≈ wL W ≈ 2 wL Fractional resonances W ≈ 1/2 wL W ≈ 1/3 wL W ≈ 3 wL 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 wL

Scattered light spectra non-relativistic 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

• Cycloatoms reveal new relativistic phenomena 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