Abstract

The generation of high-order harmonics and single attosecond pulses from $$ {H}_2^{+} $$ has been theoretically investigated beyond the Born–Oppenheimer approximations. It is found that with the introduction of the inhomogeneous effects of the laser field in frequency and space, not only the harmonic cutoff can be remarkably enhanced, but also the single short quantum path can be selected. Further, with the increase of the initial vibrational state and by properly adding a terahertz controlling field, the harmonic yield can be enhanced by 2.5 orders of magnitude, showing a highintensity supercontinuum with the bandwidth of 511 eV. As a result, four single attosecond pulses shorter than 28 as can be produced. Moreover, the present scheme can also be achieved in the multicycle pulse duration, which is much better for practical application.

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