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Learn about cycloatoms through magnetic fields and lasers. Can classical mechanics approximate quantum phenomena? Discover novel resonances and dephasing models in the spatial and temporal dynamics of cycloatoms. Resources available for in-depth study and experiments.
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What are Cycloatoms? 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
Magnetic field Laser More Technical: Use RK4 to solve this
Maximum speed v/c for each W non- relativistic relativistic W wL
Can we use classical mechanics to approximate quantum???? |Y(r)|2 High probability realization in terms of classical particles Large density
Can we use classical mechanics to approximate quantum???? ? ? ? ?
choose s wisely: s too large s too small 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)
Non-relativistic Relativistic 0 75 150 y 500 x Orbits stay in phase Orbits dephase relativistically Time (in 2p/wL)
Relativistic Movie W=wL
Relativistic dephasing model relativistic (exact) dephasing model 0 75 150 500 Time replace W W + DW (V0)
Steady state spatial electron distributions Fractional resonances W = 1/2 wL W = 1/3 wL Multiple resonances W =wL W = 2 wL W = 3 wL Q. Su, R.E. Wagner, P.J. Peverly & RG, SPIE (in press)
Fractional Resonance W=1/2 wL
Fractional Resonance W=1/3 wL
Summary Relativity 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