To travel to/from Arlanda airport there are a few options:
- By bus ("Flygbussarna"): https://www.flygbussarna.se/en/ (209 SEK for round trip ticket)
- By (fast) train ("Arlanda Express"): https://www.arlandaexpress.com/tickets/tickets-prices (640 SEK for round trip ticket)
- By train ("SL"): https://sl.se/en/in-english/fares--tickets/visitor-tickets/travel-to-and-from-arlanda-airport/ (177 SEK for one way)
For public transportation in Stockholm (bus, subway, train): https://sl.se/en/in-english
- In particular, you can just tap your card to get a ticket. See more here: https://sl.se/en/in-english/tap-your-contactless-card-to-buy-a-single-journey-ticket