Hi Natalia,
Send him a quick text reminding him about the date in some capacity. You could crack a joke about something the both of you talked about or experienced on that first date.
Since you were both laughing and having great conversation, there must be something you can take out of that conversation and use as a topic when you message him.
Yes, he could be waiting on you to make the next move. Some shy guys will do that. Either way though, you shouldn’t be waiting around for him to text you. Send one instead. It is best to know what you are dealing with earlier on than to waste precious time and energy speculating as to what is happening.
Take charge of your dating life.