Essentially you are talking about years of technological evolution. Sensor technology has improved a lot between the Nikon D90 and Fuji X-E3 and you will certainly see it.
Expect at the very least the same per-pixel quality yet with twice the resolution. The X-E3 will certainly have more dynamic-range and color-depth too, assuming it is the same sensor or better than on the X-Pro2, which I have reviewed on Neocamera. You can take a look at the Sample Images page to see what this sensor is capable of doing. It will be a few more weeks before I see the X-E3 though.
Not only is the resolution much higher, the X-E3 uses a unique-to-Fuji X-Trans CMOS III sensor that needs no anti-alias filter without being prone to moire. On the other hand, the D90 has an anti-alias filter that softens light reaching it to avoid moire.
The lens will make a huge difference too. The Fujinon 56mm F/1.2 is extremely sharp, more so than the Nikon 50mm F/1.8G, even wide open. It also has almost no distortion, although there is slightly more vignetting at F/1.8-F/2.2 than on the Nikon. Even the Nikkor 50mm F/1.4G is not as sharp as the Fujinon 56mm F/1.2.
While you asked about image quality, you should know that these cameras use completely different autofocus systems. On-sensor AF of the X-E3 is extremely accurate but based on my review of the X-Pro2, it becomes noticeably slower in low-light.