I got email from turbo tax that the its approved my taxes. I provided date to pay but don't see anything on my bank statement yet.

[robzeepvat]

typo "its" means "IRS"

[xmasbaby0]

TurboTax does not tell you that your return is "approved."  It tells you if the return was "accepted."  Accepted and approved do not mean the same thing.  Keep watching your account.

[ChristieB]

Have there been any updates made for you on the IRS Where's My Refund site? Once your status on this site has been updated to approved, you should be provided with a date that you can expect your refund to be deposited into your bank account.

What is happening when   Where’s My Refund?   shows my refund’s status as approved?

We’ve approved your refund. We are preparing to send your refund to your bank or directly to you in the mail. This status will tell you when we will send the refund to your bank (if you selected the direct deposit option). Please wait 5 days after we’ve sent the refund to check with your bank about your  refund,  since banks vary in how and when they credit funds. (It could take several weeks before you receive a mailed refund check.) 

https://www.irs.gov/refunds/tax-season-refund-frequently-asked-questions