Is there currently lighting on the market that can simulate sunlight?
Yes, look for lighting solutions used to treat Seasonal Affective Disorder (SAD).

Desktop Panels


  The theory behind conventional Full Spectrum (White Light) light boxes is that they effectively replicate sunshine. As a result they give the user a positive response when they are lacking sunshine.


- Buying a SAD light



Bulbs

There are also replacement lightbulbs that claim to have similar purposes


  6 watt LED R50 E27 ES Edison screw globe bulbs with opal cover
  DAYLIGHT WHITE SUITABLE FOR SAD Sufferers 
  480 lumen, daylight white 6400k, 30000 hour bulbs 


6400K is obviously higher than 2700K

Of course, 480 lumens is very little, You'd need a ceiling fixture that can take many E27 bulbs.

There are 800 lumen E27 bulbs and higher output bulbs in T8 tube format etc.

search for "full spectrum" "seasonal affective disorder" light bulb