Botox Bruise - How long will it be like this? Will ultrasound or laser help at least to change a color to yellow?

It is uncommon to have such a bruise after Botox. The injector must have hit a small eyelid blood vessel.

Unfortunately bruises after Botox have to run their course which can be two weeks.

In the future the risk of a Botox Bruise can be reduced by Ice Packs or Cold Roller BEFORE and after your Botox injection.

Around the eye, the Botox injector must carefully stretch the skin and look for all the small blood vessels. Once they are identified the Botox Needle can be inserted in an area that does not have a visible blood vessel;l running through it

Bruising after Botox can occur. Most of the time it is visible the same day or the very next day. In some cases, however, it may become visible several days later. A bruise occurs when blood leaks out of a traumatized blood vessel. It could be that with strenuous activity or rubbing or due to blood thinners that an injured blood vessel dislodges a clot and causes some blood to leak into the tissue and thus cause a visible bruise (e.g. heavy exercise a few days later may results in a bruise). The bruise typically dissipates within a week or two.  We often use Intense Pulse Light (IPL) to accelerate the clearance of a bruise.

It can sometimes take a week or two for a bruise to go away. Seeing your photo, it appears that it's on it's way out. I recommend you wait it out and you can try taking arnica supplements.