Are 'Terahertz-pulse lasers', like, 'Terahertz time-domain spectroscopy' and such, of Terahertz-frequency or trillion-pulses-per-second?

Question

From Phys.org:
Light-controlled Higgs modes found in superconductors; potential sensor, computing uses.

The mode can be accessed and controlled by laser light flashing on the superconductor at terahertz frequencies of trillions of pulses per second.
Sorry to ask such a simple question, but does the 'on-off' pulse duration always have to match the frequency?
So that a trillion-pulse-per-second laser is also, always, of terahetz-frequency?
Also, even a continuous laser is still sort of 'on-off', because of the inherent oscillation of the light wave, right?

Gilbert · Answer

The “terahertz” here refers to the frequency of the light. I checked out their paper, and their pulses have photon energies spanning ~1-8 meV. These pulses are broadband, with frequencies in this range.
The THz frequency is not to be confused with the repetition rate of their laser, which is 1 kHz. So they get 1000 pulses per second, and each pulse is broadband with electric field oscillations in the THz range. Their pulses probably actually have a single E-field wiggle a couple of hundred femtoseconds wide.

Are 'Terahertz-pulse lasers', like, 'Terahertz time-domain spectroscopy' and such, of Terahertz-frequency or trillion-pulses-per-second?

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