N.H. Rev. Stat. Ann. § 529:11

If a debtor is seized of a rent or of the income of real estate a levy may be made thereon, and the appraisers may set off the same for such term as they judge sufficient to pay the judgment, interest and costs; and the sheriff shall cause the tenant to attorn and become tenant to the creditor, and, upon his refusal, shall turn him out of possession, and deliver seizin to the creditor to hold for the term of the setoff.