At first glance the two shots look quite similar, maybe disappointingly so if you expected the Olympus to deliver a significantly shallower depth of field. But look again and you'll see the background details on the Panasonic 45mm sample are noticeably better-defined, from the bushes a few hundred meters away to the hills and mountain ridge beyond. There's no doubt the background on the Olympus 45mm f1.8 sample is softer, less defined and ultimately less distracting, the characteristics most people desire from a portrait shot.
If you're used to shooting with larger formats though, even if it's just APS-C, you may be disappointed by the comparatively large depth of field on these two samples, since both are described as portrait lenses. Fit a 50mm f1.8 to an APS-C camera or an 85mm f1.8 to a full-frame body and you'll enjoy a much shallower depth of field at the same subject and background distances when the aperture is wide open, so what's going on here?
The explanation is the sensor size impacts both the effective field of view and the effective depth of field. In the case of Micro Four Thirds, the sensor effectively reduces the field of view by two times, making a 45mm lens act like a 90mm on a full-frame body. But it also makes the depth of field act like a full-frame aperture that's two stops slower. So when comparing these lenses to a full-frame system, their effective focal lengths may both be 90mm, but their effective apertures become f3.6 on the Olympus and f5.6 on the Panasonic. No wonder the background isn't anywhere near as blurred as an 85mm f1.8 on a full-frame body.
For an effective full-frame aperture of f1.8 on Micro Four Thirds, you'd need an actual aperture of f0.9. While such lenses (or close) do exist, they're not exactly cheap, so anyone wanting a shallower depth of field from Micro Four Thirds without getting closer to their subject will need to increase their focal length instead - the Olympus 75mm f1.8 is the ideal solution for a very shallow depth of field, although with an equivalent focal length of 150mm, you may feel a bit detached from the subject.
Just for reference, I've also included two shots taken with the Panasonic Leica 25mm f1.4 lens below, both at the maximum aperture of f1.4. The first, below left, was taken at the same distance as the two above, so the subject is understandably half the size, but there's still some blurring in the background.