In order to expedite the drying process of your carpet, there are a couple of things you could do:
Open your doors and windows - this will encourage ventilation and speed up the drying time of your carpet
Move your furniture – consider moving sofas, chairs, and other furniture away from the room when drying your carpet to allow for better air circulation.
Use standing fans – using standing fans helps to speed up air circulation, especially if you set it up near an open door.
Use a dehumidifier – if you live in a relatively humid area, use a dehumidifier to keep moisture levels down to a minimum and to help the carpet dry faster.