In case any tenant shall give notice in writing of his intention to quit the premises rented by him and shall not accordingly deliver up the possession at the time in such notice contained, the tenant, his executors or administrators, shall pay to the landlord double the rent which he otherwise would have been liable to pay. But nothing herein contained shall be construed to give such tenant a right to discontinue or determine his tenancy by such notice in any other manner than according to the laws of force at the time of giving such notice.