RECENT DEVELOPMENT IN COMPUTATIONAL SCIENCE

ISCS 2011 Selected Papers Vol.2 Quantum control of high harmonic generation in anharmonic potential
Figure 6: Time variation of acceleration α(t) with respect
to {v = 0.1(red), 1(green), and 10(Blue)}
1. Initial state dependence:
Figure 7: The corresponding HHG spectrum
Initial wave function is calculated numerically by Fourier Grid Hamiltonian method, and we
consider the lowest three states of the Duffing system, {Ψ0, Ψ1 and Ψ2}. By changing these initial
wave functions, we make some quantum simulation and get the information about initial state
dependence to HHG spectrum. Figure 8 show that we could see clearly some groups in the HHG
Figure 8: Initial state dependence on the HHG spectrum, where Ψ0 (red), Ψ1(green) and Ψ2(blue)
spectrum peak, and in generally as the energy of the initial wave function becomes higher, the
intensity of the give more intense HHG spectrum. But in the lowest region of the harmonic order,
spectrum peaks from Ψ0 and Ψ1 is more intense, and the higher harmonic order region, the HHG
pek groups from Ψ2 look like more intense than Ψ0 and Ψ1.
2. Relative phase dependence of two-color laser pulses:
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