Silk is a protein fiber just like our hair so the care is very similar.
Handwash in lukewarm water. Use mild PH-neutral detergent and soak for 5 minutes. Rinse with cool water running through the item. Do not wring. Instead, gently press the water out of your item between your hands or with a towel. Dry in shade. Keep in mind that silk is most fragile when wet.