Time-dependence of correlation functions following a quantum quench

Details Time-dependence of correlation functions following a quantum quench Time-dependence of correlation functions following a quantum quench

2006-01-11

arxiv.org/abs/cond-mat/0601225v2

Phys.Rev.Lett. 96 (2006) 136801

Physics

Condensed Matter

Statistical Mechanics

4+ pages, Corrected Typos

Scientific paper

10.1103/PhysRevLett.96.136801

We show that the time-dependence of correlation functions in an extended quantum system in d dimensions, which is prepared in the ground state of some hamiltonian and then evolves without dissipation according to some other hamiltonian, may be extracted using methods of boundary critical phenomena in d+1 dimensions. For d=1 particularly powerful results are available using conformal field theory. These are checked against those available from solvable models. They may be explained in terms of a picture, valid more generally, whereby quasiparticles, entangled over regions of the order of the correlation length in the initial state, then propagate classically through the system.

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