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arxiv: cond-mat/0601225 · v2 · submitted 2006-01-11 · ❄️ cond-mat.stat-mech · hep-th· quant-ph

Time-dependence of correlation functions following a quantum quench

classification ❄️ cond-mat.stat-mech hep-thquant-ph
keywords correlationavailabledimensionsfunctionshamiltonianquantumsomestate
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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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