# Universal adiabatic dynamics across a quantum critical point

Journal Article

**Published:**Monday, October 17, 2005

**Citation:**Physical Review B, Volume 72, Pages 161201

**Authors (1 total):** A. Polkovnikov

**Abstract:** We study temporal behavior of a quantum system under a slow external perturbation, which drives the system across a second-order quantum phase transition. It is shown that despite the conventional adiabaticity conditions are always violated near the critical point, the number of created excitations still goes to zero in the limit of infinitesimally slow variation of the tuning parameter. It scales with the adiabaticity parameter as a power related to the critical exponents z and nu characterizing the phase transition. We support general arguments by direct calculations for the Boson Hubbard and the transverse field Ising models.