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 and characterizing the phase transition. We support general arguments by direct calculations for the Boson Hubbard and the transverse field Ising models.
- Received 23 June 2005
DOI:https://doi.org/10.1103/PhysRevB.72.161201
©2005 American Physical Society