This phrase often implies a deep emotional or intellectual state that's hard to interrupt. He was sunk in nostalgia, barely noticing the hustle around him.
Pro Tip 2/3
Negative Spaces
Sometimes used to indicate a negative or solemn mood like sadness or despair. She was sunk in misery after hearing the unfortunate news.
Pro Tip 3/3
Undisturbed Focus
Can express being so focused that you're not paying attention to your surroundings. The artist was sunk in her painting, oblivious to the fading light.