Once your tax return has been filed and accepted by the IRS and/or your state, then only those tax authorities have control on when the tax refund will be released.
If accepted by the IRS use the federal tax refund website to check the refund status - https://www.irs.gov/refunds
If accepted by the state use this TurboTax support FAQ to check the state tax refund status - https://ttlc.intuit.com/questions/1899433-how-do-i-track-my-state-refund