Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2011-05-26
Physics
Condensed Matter
Statistical Mechanics
23 pages, 14 figures
Scientific paper
We study the quantum dynamics resulting from preparing a one-dimensional quantum system in the ground state of initially two decoupled parts which are then joined together (local quench). Specifically we focus on the transverse Ising chain and compute the time-dependence of the magnetization profile, m_l(t), and correlation functions at the critical point, in the ferromagnetically ordered phase and in the paramagnetic phase. At the critical point we find finite size scaling forms for the nonequilibrium magnetization and compare predictions of conformal field theory with our numerical results. In the ferromagnetic phase the magnetization profiles are well matched by our predictions from a quasi-classical calculation.
Divakaran Uma
Igloi Ferenc
Rieger Heiko
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