Journal
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
Volume -, Issue -, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1742-5468/2007/11/P11004
Keywords
correlation functions; integrable quantum field theory; boundary solvable models
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We determine dynamical response functions < O-dagger(t, x(1))O(0, x(2))> in the scaling limit of the quantum Ising chain on the half-line in the presence of a boundary magnetic field. Using a spectral representation in terms of infinite volume form factors and a boundary state, we derive an expansion for the correlator that is found to be rapidly convergent as long as vertical bar(x(1) + x(2))/xi vertical bar greater than or similar to 0.2, where xi is the correlation length. At sufficiently late times we observe oscillatory behaviour of the correlations arbitrarily far away from the boundary. We investigate the effects of the boundary bound state that is present for a range of boundary magnetic fields.
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