Dynamics of quantum phase transition: exact solution in quantum Ising model

Details Dynamics of quantum phase transition: exact solution in quantum Ising model Dynamics of quantum phase transition: exact solution in quantum Ising model

2005-09-19

arxiv.org/abs/cond-mat/0509490v3

Phys. Rev. Lett. 95, 245701 (2005)

Physics

Condensed Matter

Other Condensed Matter

misprints corrected; version to appear in Phys.Rev.Lett

Scientific paper

10.1103/PhysRevLett.95.245701

Quantum Ising model is an exactly solvable model of quantum phase transition. This paper gives an exact solution when the system is driven through the critical point at finite rate. The evolution goes through a series of Landau-Zener level anticrossings when pairs of quasiparticles with opposite pseudomomenta get excited with probability depending on the transition rate. Average density of defects excited in this way scales like a square root of the transition rate. This scaling is the same as the scaling obtained when the standard Kibble-Zurek mechanism of thermodynamic second order phase transitions is applied to the quantum phase transition in the Ising model.

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