Abstract

The spectral minima in harmonic spectra of H2+ induced by mid-infrared laser pulses are numerically investigated based on two models of Born-Oppenheimer (BO) and non-Born-Oppenheimer (NBO) approximations. The simulation results show that, with the variation of the mid-infrared laser's carrier-envelope phase (CEP), the spectral minima positions (SMPs) are fixed for the BO model, while oscillate periodically for the NBO model. This can be understood by the two-center-destructive-interference theory via the detailed investigation to several physical quantities for each CEP case, such as SMPs, effective potential, internuclear separation and the electron's de Broglie wavelength at the time for interference occurring. The fittings to these quantities' CEP-dependent curves demonstrate that they follow a variation law in the form of a sine function.

Highlights

  • While the laser-atom interaction has been understood in quite some details, increasing interests have already been turned towards more complex systems, such as molecules, interacting with ultra-strong and ultra-short laser pulses

  • For the BO model, the fixed internuclear separation R of H+2 is set to its equilibrium distance, 2.63 a.u., which is obtained via computing the potential curve of the ground state 1sσg

  • We investigated in detail the carrier-envelope-phase-dependence of the harmonic spectral minima of H+2 driven by few-cycle mid-infrared laser pulses based on the BornOppenheimer (BO) and non-Born-Oppenheimer (NBO) approximations

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Summary

Introduction

While the laser-atom interaction has been understood in quite some details, increasing interests have already been turned towards more complex systems, such as molecules, interacting with ultra-strong and (or) ultra-short laser pulses. The main difference between the two models is that whether the internuclear separation changes during the evolution of the interaction process. This exactly leads to a difference for the induced high-order harmonic spectra. The spectral minima position (SMP) is fixed for the BO model and moves for the NBO model with the variation of the CEPs. simulation based on the NBO model is more realistic for laser-H+2 evolution process. The variation law of several quantities on CEP-dependence will be given, including the SMP, the effective potential, the internuclear separation and the electron’s de Broglie wavelength at the time for destructive interference occurring

Theoretical models and methods
Results and discussions
Conclusions

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